Department of
MATHEMATICS






Syllabus for
Bachelor of Science (Physics, Chemistry, Mathematics)
Academic Year  (2023)

 
3 Semester - 2022 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
AEN321 ADDITIONAL ENGLISH 3 3 100
CHE331 CHEMISTRY III-ORGANIC AND ANALYTICAL CHEMISTRY 4 4 100
CHE351 CHEMISTRY PRACTICALS - III 2 2 50
ENG321 ENGLISH-III 3 2 100
FRN321 FRENCH 3 3 100
HIN321 HINDI 3 3 100
KAN321 KANNADA 3 03 50
MAT331 REAL ANALYSIS 4 4 100
MAT351 PYTHON PROGRAMMING FOR MATHEMATICS 2 2 50
PHY331 THERMAL PHYSICS AND STATISTICAL MECHANICS 4 04 100
PHY351 THERMAL PHYSICS AND STATISTICAL MECHANICS LAB 2 02 50
SAN321 SANSKRIT 3 3 100
TAM321 TAMIL 3 3 100
4 Semester - 2022 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
AEN421 ADDITIONAL ENGLISH 3 3 100
CHE431 CHEMISTRY IV-INORGANIC AND PHYSICAL CHEMISTRY 4 4 100
CHE451 CHEMISTRY PRACTICALS - IV 2 2 50
ENG421 ENGLISH-IV 3 2 100
FRN421 FRENCH 3 3 100
HIN421 HINDI 3 3 100
KAN421 KANNADA 3 03 50
MAT431 ALGEBRA 4 4 100
MAT451 PYTHON PROGRAMMING FOR MATHEMATICAL MODELLING 2 2 50
PHY431 WAVES AND OPTICS 4 04 100
PHY451 WAVES AND OPTICS LAB 2 02 50
SAN421 SANSKRIT 3 3 100
TAM421 TAMIL 3 3 100
5 Semester - 2021 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
CHE531 CHEMISTRY V-PHYSICAL CHEMISTRY 3 03 100
CHE541A CHEMISTRY VA-ORGANIC CHEMISTRY 3 03 100
CHE541B CHEMISTRY VB-INORGANIC CHEMISTRY 3 3 100
CHE551 CHEMISTRY PRACTICALS V-PHYSICAL CHEMISTRY 2 02 50
CHE551A CHEMISTRY PRACTICALS VA-ORGANIC CHEMISTRY 2 02 50
CHE551B CHEMISTRY PRACTICALS VB-INORGANIC CHEMISTRY 2 2 50
MAT531 LINEAR ALGEBRA 3 3 100
MAT541A INTEGRAL TRANSFORMS 3 3 100
MAT541B MATHEMATICAL MODELLING 3 3 100
MAT541C GRAPH THEORY 3 3 100
MAT541D CALCULUS OF SEVERAL VARIABLES 3 3 100
MAT541E OPERATIONS RESEARCH 3 3 100
MAT551 LINEAR ALGEBRA USING PYTHON 2 2 50
MAT551A INTEGRAL TRANSFORMS USING PYTHON 2 2 50
MAT551B MATHEMATICAL MODELLING USING PYTHON 2 2 50
MAT551C GRAPH THEORY USING PYTHON 2 2 50
MAT551D CALCULUS OF SEVERAL VARIABLES USING PYTHON 2 2 50
MAT551E OPERATIONS RESEARCH USING PYTHON 2 2 50
PHY531 MODERN PHYSICS - I 3 3 100
PHY541A ANALOG AND DIGITAL ELECTRONICS 3 3 100
PHY541B RENEWABLE ENERGY AND APPLICATIONS 3 3 100
PHY541C ASTRONOMY AND ASTROPHYSICS 3 3 100
PHY551 MODERN PHYSICS - I LAB 2 2 50
PHY551A ANALOG AND DIGITAL ELECTRONICS LAB 2 2 50
PHY551B RENEWABLE ENERGY AND APPLICATIONS LAB 2 2 50
PHY551C ASTRONOMY AND ASTROPHYSICS LAB 2 2 50
VPHY512 MATERIAL CHARACTERIZATION TECHNIQUES 2 0 100
6 Semester - 2021 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
CHE631 CHEMISTRY VI-MOLECULES OF LIFE 3 3 100
CHE641A CHEMISTRY VIA-INDUSTRIAL MATERIALS AND ENVIRONMENT 3 3 100
CHE641B CHEMISTRY VIB-CHEMISTRY OF NATURAL PRODUCTS AND HETEROCYCLIC COMPOUNDS 3 3 100
CHE651 CHEMISTRY PRACTICALS VI-MOLECULES OF LIFE 2 2 50
CHE651A CHEMISTRY PRACTICALS VIA-INDUSTRIAL MATERIALS AND ENVIRONMENT 2 2 50
CHE651B CHEMISTRY PRACTICALS VIB-CHEMISTRY OF NATURAL PRODUCTS AND ORGANIC ANALYSIS 2 2 50
CHE681 DISSERTATION IN CHEMISTRY 7 5 100
MAT631 COMPLEX ANALYSIS 3 3 100
MAT641A MECHANICS 3 3 100
MAT641B NUMERICAL METHODS 3 3 100
MAT641C DISCRETE MATHEMATICS 3 3 100
MAT641D NUMBER THEORY 3 3 100
MAT641E FINANCIAL MATHEMATICS 3 3 100
MAT651 COMPLEX ANALYSIS USING PYTHON 2 2 50
MAT651A MECHANICS USING PYTHON 2 2 50
MAT651B NUMERICAL METHODS USING PYTHON 2 2 50
MAT651C DISCRETE MATHEMATICS USING PYTHON 2 2 50
MAT651D NUMBER THEORY USING PYTHON 2 2 50
MAT651E FINANCIAL MATHEMATICS USING EXCEL AND PYTHON 2 2 50
MAT681 PROJECT ON MATHEMATICAL MODELS 5 5 150
PHY631 MODERN PHYSICS - II 3 3 100
PHY641A SOLID STATE PHYSICS 3 03 100
PHY641B QUANTUM MECHANICS 3 3 100
PHY641C NUCLEAR AND PARTICLE PHYSICS 3 3 100
PHY651 MODERN PHYSICS - II LAB 2 2 50
PHY651A SOLID STATE PHYSICS LAB 2 02 50
PHY651B QUANTUM MECHANICS LAB 2 2 50
PHY651C NUCLEAR AND PARTICLE PHYSICS LAB 2 2 50
VPHY611 MATHEMATICAL TOOLS IN PHYSICS 2 0 100

AEN321 - ADDITIONAL ENGLISH (2022 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Course Description

 

This course is taught in the second year for students from different streams, namely BA, BSc

 

and BCom. If the first year syllabus is an attempt by the Department of English, Christ

 

University to recognize and bring together the polyphonic Indian voices in English and Indian

 

regional literatures in translation for the Additional English students of the first year, the

 

second year syllabus intends to take that project a little further and open up the engagement

 

of the students to texts from across the world. The syllabus - selection of texts will

 

concentrate on readings from South Asian, Latin American, Australian, Canadian, and Afro-

 

American. It will voice subaltern concerns of identity, gender, race, ethnicity and problems of

 

belongingness experienced by humanity all over the globe.

 

The syllabus will extend the concerns of nation and nationality and marginalization,

 

discussed within the Indian context to a more inclusive and wider global platform. We have

 

consciously kept out ‘mainstream’ writers and concentrated on the voices of the subalterns

 

from across the world. There is an implicit recognition in this project that though the aspects

 

of marginalization and the problems facing subalterns are present across cultures and

 

nations, the experiences, expressions and reflections are specific to each race and culture.

 

The course will address these nuances and specificities and enable our students to become

 

more aware and sensitive to life and reality around them. This will equip the students, who

 

are global citizens, to understand not just the Indian scenario, but also situate themselves

 

within the wider global contexts and understand the spaces they will move into and negotiate

 

in their future.

 

There is a prescribed text book Blends: Voices from Margins for the second year students,

 

compiled by the Department of English, Christ University and intended for private circulation.

Course Objectives

 

The course objectives are

 

 to enable students to look at different cultures through Literature

 

 to help students develop an understanding of subaltern realities and identity politics

 

 to inculcate literary sensibility/taste among students across disciplines

 

 to improve language skills –speaking, reading, writing and listening

 

 to equip the students with tools for developing lateral thinking

 

 to equip students with critical reading and thinking habits

 

 to reiterate the study skills and communication skills they developed in the previous

 

year and extend it.

Learning Outcome

CO1: it will enable students to understand and analyse the nuances of cultures, ethnicities and other diversity around them and become sensitive towards them.

CO2 : They will be able to critique literature from a cultural, ethical, social and political perspectives

Unit-1
Teaching Hours:12
Children?s Novel
 

TetsukoKuroyanagi: Tottochan: The Little Girl at the Window12

Unit-2
Teaching Hours:12
Short Story
 

Liliana Heker : “The Stolen Party

 

 Higuchi Ichiyo: “Separate Ways”

 

 Harukki Murakami "Birthday Girl"

 

 Luisa Valenzuela: “I’m your Horse in the Night”

 

Unit-3
Teaching Hours:12
Poetry
 

Poetry 12 Hrs

 

 Silvio Curbelo: “Summer Storm”

 

 Nancy Morejon: “Black Woman”

 

 Ruben Dario: “To Roosevelt”

 

 Mina Asadi: “A Ring to me is a Bondage”

Unit-4
Teaching Hours:9
Essay
 

Essay 9Hrs

 

 Amy Tan: “Mother Tongue

 

 Linda Hogan: “Waking Up the Rake”

 

 Isabelle Allande: “Open Veins of Latin America”

Text Books And Reference Books:

Blends Book II

Essential Reading / Recommended Reading

Oxford Encyclopeadia on Latin American History

Children's Literature -  Kimberley Reynolds (CUP)

Evaluation Pattern

Evaluation Pattern

 

CIA 1: A written test for 20 marks. It can be an Open Book test, a classroom assignment, an

 

objective or descriptive test pertaining to the texts and ideas discussed in class.

 

CIA2: Mid-semester written exam for 50 works

 

CIA 3: This is to be a creative test/ project in small groups by students. They may do

 

Collages, tableaus, skits, talk shows, documentaries, Quizzes, presentations, debates,

 

charts or any other creative test for 20 marks. This test should allow the students to explore

 

their creativity and engage with the real world around them and marks can be allotted to

 

students depending on how much they are able to link the ideas and discussions in the texts

 

to the world around them.

 

Question Paper Pattern

 

Mid Semester Exam: 2 hrs

 

Section A: 4x5= 20

 

Section B: 2x15=30

 

Total 50

 

End Semester Exam: 3 hrs

 

Section A: 4 x 5 = 20

 

Section B: 2 x 15= 30

 

Total 50

CHE331 - CHEMISTRY III-ORGANIC AND ANALYTICAL CHEMISTRY (2022 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:4

Course Objectives/Course Description

 

This course deals with the concepts of organic and analytical chemistry and builds the foundation for more advanced topics in the subsequent courses.

Learning Outcome

CO 1: Summarise the fundamental aspects of organic molecules and their interactions.

CO 2: Justify the chemicals and reactions based on the green chemistry approach.

CO 3: Discuss the principles of analytical chemistry techniques and apply them in real sample analysis.

CO 4: Relate theory of separation techniques and instrumental methods for analysis.

Unit-1
Teaching Hours:8
Section A: Organic Chemistry 1. Organic Compounds of Nitrogen
 

 Prelearning topics: Classification and nomenclature of amines, Preparation of nitroalkanes and aromatic nitro compounds.

Amines (aliphatic and aromatic):  Preparation: From alkyl halides, Reduction of nitro compounds and nitriles, Reductive amination of aldehydes and ketones, Gabriel’s phthalimide synthesis, Hofmann bromamide reaction (with mechanism). Reactions: Hofmann (with mechanism) vs. Saytzeff elimination, Carbylamine test, Hinsberg test, with HNO2. Separation of a mixture of  1°, 2° and 3° amines using Hinsberg reagent. Structural features affecting basicity of aliphatic and aromatic amines. Comparative study of basicity of aliphatic and aromatic amines. Schotten – Baumann Reaction (with mechanism). Electrophilic substitution reactions of aniline: Halogenation, nitration and sulphonation.

Diazonium salts:  Preparation by diazotization.  Reactions: Conversion to benzene, phenol, iodo, fluoro and nitro benzene. Azo coupling.  Sandmeyer and Gatterman reactions.

 

 

Unit-2
Teaching Hours:5
2. Heterocyclic Compounds
 

Classification and nomenclature. Structure and aromaticity of 5-numbered and 6-membered rings containing one heteroatom. Synthesis and reactions of: Furan, Thiophene, Pyrrole, Pyridine, Indole, Quinoline  and Isoquinoline.

 

Unit-3
Teaching Hours:4
3. Introduction to Green Chemistry
 

Green Chemistry: Introduction - Environmental concern on chemical industry and need of green chemistry – Origin of green chemistry – Twelve principles of green chemistry with explanations - Atom economy and microwave assisted reactions - Green solvents . Microwave and ultrasound assisted green synthesis.

 

Unit-4
Teaching Hours:6
4. Polymers
 

 Introduction, types of polymers, polymerization reactions, Formation of Polythene, polypropylene, polystyrene, poly vinyl chloride, polyesters, polyamides including Nylon 6 and Nylon 6,6, resins.

Physical properties of polymers, molecular masses of polymers, Introduction to conducting polymers with examples. Environmental hazards of polymers, biodegradable polymers. Plastics, Recycling of plastics. Fibres: natural and synthetic, Rubbers: natural and synthetic.

 

Unit-5
Teaching Hours:7
5. Carbohydrates
 

Classification, and General Properties, Glucose (structural elucidation). Open chain and cyclic structures of fructose, galactose and mannose. Epimers and anomers. Determination of configuration of monosaccharides, Mutarotation, ascending and descending in monosaccharides. Interconversion of glucose and fructose. Structure of disacharrides (sucrose, maltose, lactose). Reducing and non-reducing sugars. polysacharrides (starch and cellulose) excluding their structure elucidation.

 

Unit-6
Teaching Hours:5
Section B: Analytical Chemistry 6. Statistical evaluation of analytical data
 

 Significant figures, Absolute error, accuracy, relative error, precision.

Classification of errors – (a) Determinate errors –Operational & Personal errors, Instrumental & reagent errors, Errors of method, Additive & proportional errors (b) Indeterminate or accidental errors.

Minimisation of errors– Calibration of apparatus & application of corrections, Running blank determination, Determination of accuracy of quantitative methods – Absolute method, Comparative method. Mean, median, standard deviation, variance (numerical problems)

 

Unit-7
Teaching Hours:8
7. Separation techniques
 

Solvent extraction Introduction– Classification– Principles and application of solvent extraction. Nernst’s distribution law, distribution co-efficient.

#Chromatography 

Introduction, Classification, Principles and Applications of column chromatography, thin layer chromatography, ion exchange chromatography, gas chromatography and high performance liquid chromatography (mention only).

 

Unit-8
Teaching Hours:13
8. Theory of chemical analysis
 

a) Qualitative analysis                                                                                                 5 Hrs

Introduction- Solubility product, ionic product, common ion effect, application of these in qualitative analysis. Selective precipitation of metal ions in their respective groups. Removal of interfering radicals.

b) Quantitative analysis                                                                                                8 Hrs

 Volumetric analysis: Introduction – Definition – Classification - Principles of acid base, redox, precipitation and complexometric titrations.

Theory of indicators (redox, acid base, metallochrome and adsorption indicators)

*Gravimetric analysis: Introduction –Classification – Principles. Organic reagents (DMG, Oxine) used for the precipitation.

 

 

Unit-9
Teaching Hours:4
9. Instrumental methods of analysis
 

Introduction ––Principles and application of spectrophotometry (colorimetry), Flame photometry

Electro analytical methods (potentiometry, conductometry).

 

Text Books And Reference Books:

[1] Bahl, A. & Bahl, B.S. Advanced Organic Chemistry, S. Chand, 2010.

[2] B. Mehta, M. Mehta, Organic Chemistry, PHI Learning Private Limited, 2017.

[3] D.A. Skoog, D.M. West, F.J. Holler and S.R. Crouch, Fundamentals of Analytical Chemistry, 8th Edition, Brooks/Cole, Thomson Learning, Inc., USA, 2004

 

 

 

Essential Reading / Recommended Reading

 [1]    Jain and Sharma Modern Organic Chemistry 3rd edition, Vishal Publishing Company, 2009.

 [2]    R. T Morrison and R. N. Boyd. Organic Chemistry. 7thed. New Delhi: Prentice-Hall of India (P) Ltd., 2010.

 [3]    S.M. Mukherji, S. P. Singh, and R. P. Kapoor. Organic Chemistry. 3rd, 12th Reprint, New Delhi: New Age International (P) Ltd. Publishers, 2009.

 [4]    I. L Finar, Organic Chemistry Vol. II, 5th ed. New Delhi: ELBS and Longman Ltd., reprint 2008.

 [5]    Vogels Textbook of Quantitative Chemical Analysis, 6th Edn., Pearson Education Ltd. 2009.

 

Evaluation Pattern

No.

Component

Schedule

Duration

Marks

CIA1

Assignment/quiz/group task/ presentations

Before MST

--

10

 

CIA2

Mid-Sem Test

[MST]

2 Hrs (50 marks)

25

CIA3

Assignment/quiz/group task/ presentations

After MST

--

10

CIA3

Attendance (75-79 = 1, 80-84 = 2, 85-89 = 3,

90-94 = 4, 95-100 = 5)

--

5

ESE

Centralized

3 Hrs (100 marks)

50

Total

100

CHE351 - CHEMISTRY PRACTICALS - III (2022 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

This course is intended to provide basic skills in qualitative analysis at the semi micro scale. Identification of cations and anions present in inorganic compounds has to be performed. Separation of sugar and amino acid mixtures can be achieved through chromatography.

 

 

 

Learning Outcome

CO 1: Analyse inorganic salt mixtures.

CO 2: Discuss the separation of amino acid mixtures and sugar mixtures using chromatographic techniques.

Unit-1
Teaching Hours:25
Section A: Inorganic Chemistry
 

 Semi-micro qualitative analysis (using H2S or other methods) of mixtures - not more than four ionic species (two anions and two cations, excluding insoluble salts) out of the following:

    Cations : NH4+, Pb2+, Bi3+, Cu2+, Cd2+, Fe3+, Al3+ , Co2+ , Ni2+, Mn2+, Zn2+, Ba2+ , Sr2+ , Ca2+, K+

   Anions : CO32– , S2–, SO2, S2O32–, NO2, CH3COO, Cl, Br, I, NO3, SO42-, PO43-, BO33-

   (Spot tests should be carried out wherever feasible)

 

Unit-2
Teaching Hours:5
Section B: Organic Chemistry
 

 Separation of mixtures by Chromatography:

(a) Separation and identification of the components of a given mixture of two amino acids by paper chromatography/TLC

(b) Separation and identification of the components of a mixture of two sugars by paper chromatography/TLC

 

 

 

 

 

 

Text Books And Reference Books:

 [1] Svehla, G. Vogel’s Qualitative Inorganic Analysis, Pearson Education, 2012.

[2] Mann, F.G. & Saunders, B.C. Practical Organic Chemistry, 4th edition, Orient-Longman, 1979.

 

Essential Reading / Recommended Reading

[1] Textbook of Practical Organic Chemistry, Prentice-Hall, 5th edition, 1996.

Evaluation Pattern

 

No.

Component

Duration

Points

Marks

CIA1

Mid-Sem Test

3 Hrs

50

20

 

CIA2

Class work, PreLab Quiz, assignments

---

40

20

CIA3

Record book

-----

20

10

ESE

Centralized (two Examiners)              3 Hrs

 50

50

Total

25+25=50

ENG321 - ENGLISH-III (2022 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:2

Course Objectives/Course Description

 

 

Course Description

English is offered as a course for all the students in BA, BSc, BCom, and BBA F&A classes in the third and fourth semesters. The aim is to strengthen the communication skills, and particularly study skills of the learners further, through adequate practice and exposure to good examples of writing, thought, ideas and human values. In addition, they will be trained in study skills through tasks in academic genres such as message, letter, essay, data interpretation etc. It aims to not only equip learners with skills but also sensitize them towards issues that concern human life in today’s globalised context. The course content is selected to meet the requirements of the departmental goal of “empowering the individual to read oneself, the social context and the imagined”; institutional goal of ensuring “holistic development”; and the national goal of creating competent and valuable citizens. The primary objective of this course is to help learners develop appropriate employability skills and demonstrate suitable conduct with regards to communication skills. The units are organised in order to help the learners understand the academic and workplace demands and learn by practice.

 

Course Objectives     

 

 

·       To enable learners to develop reading comprehension for various purposes

 

·       To enable learners to develop writing skills for academic and professional needs

 

·       To enable learners to develop the ability to think critically and express logically

 

·       To enable learner to communicate in a socially and ethically acceptable manner

 

·       To enable learners, to read, write and speak with clarity, precision and accuracy

 

 

 

 

 

 

 

 

 

 

 

 

 

Learning Outcome

CO1: Recognise the errors of usage and correct them. Recognize their own ability to improve their own competence in using the language

CO2: Read independently unfamiliar texts with comprehension. Read longer texts, compare, and evaluate them.

CO3: Understand the importance of writing in academic life. Write simple sentences without committing errors in spelling and grammar. Plan a piece of writing using drafting techniques.

Unit-1
Teaching Hours:10
Introduction to university grammar
 

 

Subject verb agreement

 

Tenses

 

Preposition

 

Voices

 

Clauses

 

Unit-2
Teaching Hours:10
Strategies for Reading
 

 

Skimming and scanning

 

Strategies of reading

 

Reading and understanding reports

 

Reading content/ texts of various kinds

 

Inferencing skills

 

Academic vocab

 

Academic phrases

 

Professional expression

 

Study skills- library and referencing skills (organising reading, making notes, managing time, prioritising)

 

Unit-3
Teaching Hours:10
Strategic writing for academic purpose
 

 

Mind mapping

 

Organising ideas

 

Accurate usage of vocabulary

 

Paragraph strategy

 

Cohesion and sequencing (jumbled sentences to paragraph)

 

Extended writing 

 

Formal and informal writing

 

Reports (all types including illustration to report and report to illustration and/or graphs, charts, tables and other statistical data)

 

Proposal writing (for projects, for research)

 

Academic essays/ articles

 

Persuasive writing, extrapolative writings

 

Case study writing

 

Executive summaries

 

Editing, proofreading skills

 

Resume vs CV

 

Unit-4
Teaching Hours:10
Listening and Oral communication
 

 

Self-introduction

 

Body language

 

Talks, speeches and presentations

 

Conversation

 

Telephone conversation

 

Meetings

 

Group discussion

 

Seminar / conference presentation

 

Unit-5
Teaching Hours:5
Business communication
 

 

Principles of communication

 

Process of communication

 

Types of communication

Barriers in communication

Text Books And Reference Books:

NIL

Essential Reading / Recommended Reading

ENGlogue -2

Evaluation Pattern

 

Evaluation Pattern

 

CIA 1: Classroom assignment/test/ written or oral tasks for 20 marks keeping in tune with the course objectives and learning outcomes.

CIA 2: Mid-semester exam for 50 marks.

CIA 3: Collage, tableaus, skits, talk shows, documentaries, Quizzes or any creative assignments.

 

 End- semester 50 marks 

 

End Semester Exam: 2 hrs

 

 

 

 

 

 

 

 

 

 

 

 

FRN321 - FRENCH (2022 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

French as second language for the Arts, Science and Commerce UG program

Learning Outcome

CO1: Ability to communicate with native speakers and make presentations on small topics

CO 2: Proficiency in literary analysis, appreciation and review of poems,play ,films and fables

CO3: Acquaintance of culture, civilization, social values and etiquettes, and gastronomical richness

CO 4: Ability to do formal and informal, oral and written communication.

CO 5: Overall knowledge on functional and communicative aspects and get through a2 level exams.

Unit-1
Teaching Hours:9
Dossier 1
 

To perform a tribute: artist, work, you are going to…..

Unit-2
Teaching Hours:9
Dossier 2
 

Towards a working life

Unit-3
Teaching Hours:9
Dossier 3
 

France Seen by...

Unit-4
Teaching Hours:9
Dossier 4
 

Mediamania

Unit-5
Teaching Hours:9
Le Bourgeois Gentilhomme
 

Act 1, 2 & 3

Text Books And Reference Books:

1.        Berthet, Annie, Catherine Hugot et al. Alter Ego + A2. Paris : Hachette, 2012

2.      Gonnet, Georges. Molière- Le Bourgeois Gentilhomme .Paris : Hachette, 1971

Essential Reading / Recommended Reading

1.      Lichet, Raymond., Puig Rosado. Ecrire à tout le monde. Paris : Hachette, 1980

2.      French websites like Bonjour de France, FluentU French, Learn French Lab, Point du FLE etc.

Evaluation Pattern

Assessment Pattern

CIA (Weight)

ESE (Weight)

CIA 1 – Assignments / Letter writing / Film review

10%

 

CIA 2 –Mid Sem Exam

25%

 

CIA 3 – Quiz / Role Play / Theatre / Creative projects 

10%

 

Attendance

05%

 

End Sem Exam

 

50%

Total

50%

50%

HIN321 - HINDI (2022 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

 

Course Description:

The detailed text book “Shambook” is a Khanda Kavya written by Jagdeesh Gupta. To improve the creative writing skills, Nibandh, Kahani and Kavitha lekhan are included.Bharathiya chitrakala is also a part of the syllabus to improve the knowledge aboutIndian paintings.

Course Objectives:

Students are exposed to different forms of poetry especially, Khanda Kavya. It will help them to understand the contemporary socio-political issues.By learning about the tradition of Indian painting and legendary painters of India , students get to know about the richness and culture  of the Indian paintings. Creative writing sharpens their thinking, analytical  and writing skills 

Learning Outcome

CO1: By the end of the course the student should be able to: ● CO1: Improve their writing skill in literary Hindi by doing asynchronous session assignments and CIAs. ● CO2: Improve their analytical skills through critical analysis of the poetry. ● CO3: Will be able to learn the different aspects of Official correspondence. ● CO4: To improve their basic research skills while doing the CIAs. By the end of the course the student should be able to: ● CO1: Improve their writing skill in literary Hindi by doing assignments and CIAs

CO2: Improve their analytical skills through critical analysis of the poetry.

CO3: To improve their basic research skills while doing the CIAs

CO4: To understand the contributions of painters to Indian painting.

Unit-1
Teaching Hours:15
Shambooh
 

Khanda Kavya “Shambook” [Poetry] By:Jagdeesh Gupta. Pub: Raj Pal & Sons

 

Level of knowledge:Analitical    

Unit-2
Teaching Hours:15
Creative writing
 

Nibandh lekhan, Katha lekhan, Kavitha lekhan.

Level of knowledge:Conceptual

Unit-3
Teaching Hours:15
Bharathiya chithrakala -parampara evam pramukh kalakar
 

Utbhav, vikas aur pramukh shailiyam

pramukh kalakar-1.M F Hussain 2.Ravindranath Tagore 3.Raja Ravi Varma 4.Jamini Roy.

Level of knowledge: Conceptual

Text Books And Reference Books:

  1. Khanda Kavya”Shambook[Poetry] ByJagdeesh Gupta.Pub: Raj Pal & Sons
Essential Reading / Recommended Reading

.1. Sugam Hindi Vyakaran – Prof. Vamsidhar and Dharampal Shastry, SikshaBharathi,New Delh

2. Essentials of Screen writing: The art, craft and business of film and television writing

By: Walter Richard.

3. Writing and Script: A very short introduction

By: Robinson, Andrew.

4 .Creative writing By John Singleton

5. Adhunik  Hindi Nibandh By Bhuvaneshwarichandran Saksena.

Evaluation Pattern

CIA-1(Digital learning-wikipedia)

CIA-2(Mid sem examination)

CIA-3(wikipedia article creation)

End semester examination

KAN321 - KANNADA (2022 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:50
Credits:03

Course Objectives/Course Description

 

Course Description: Language Kannada is offered to students of third Semester BA/B.Sc as Second language for fifty marks. Students of this semester will study an anthology of Modern Kannada Poetry and an Autobiography of Laxman Gaikwad. This course prepares the students to understand the new era. At the dawn of the twentieth century, B.M. Srikantiah, regarded as the “Father of modern Kannada Literature”, called for a new era of writing original works in modern Kannada while moving away from archaic Kannada forms. Students will study modern Kannada poetry from B.M.Sri to Dalit poet Dr. Siddalingiah. An anthology of modern poetry is selected to understand the beauty of modern Kannada poets through their writings. Uchalya is an autobiographical novel that carries the memories of Laxman Gaikwad right from his childhood till he became an adult. Laxman Gaikwad took birth in a criminal tribe of India belonging to Orissa/ Maharastra. The original text is translated to Kannada by Chandrakantha Pokale.

 

Course Objectives:

Understand and appreciate poetry as a literary art form.

Analyse the various elements of Poetry, such as diction, tone, form, genre, imagery, symbolism, theme, etc.

Appreciates to  learn the elements of autobiography.

Learning Outcome

CO 1: Able to define autobiography

CO2: Outline a personal autobiography

CO3: Delineate different types of autobiography

CO 4: Proficiency in communication skills

CO5 : Understand the principles of translation

Unit-1
Teaching Hours:15
Modern Kannada Poetry
 

1. Kariheggadeya Magalu- B.M.Sri

2. Hunnime Ratri- Kuvempu

3. Anna Yagna-Bendre

4.Mankuthimmana Kagga-D.V.G

5.Ikkala- K.S. Narasimha Swamy

6. Kannad padgol- G.P.Rajarathnam

7.Hanathe hachchuttene- G.S.S

8.Adugemane Hudugi-Vaidehi

9. Nehru Nivruttaraguvudilla- Adgaru

10. Nanna Janagalu.-Siddalingaiah

Unit-2
Teaching Hours:20
Autobiography- Uchalya- Lakshman Gayekwad (Marathi)
 

Text: Uchalya

Author:Lakshman Gayekwad

Translation: Chandrakantha Pokle

 

Unit-3
Teaching Hours:10
Creative Writings
 

 

1 Dialogue Writing

2 Essay writing

3 short story building

Text Books And Reference Books:

1. English Geethegalu- Sri, Publishers: B.M.Sri Smarka Prathistana, Bangalore-19 (2013)

2. Kannada Sahitya Charithre- Volumes 1-4, Editor: G. S. Shivarudrappa, Prasaranga, Bangalore Univeristy.

3. Hosagannada Kavitheya Mele English Kavyada Prabhava- S. Ananthanarayana

4. Hosagannadada Arunodaya- Srinivasa  Havanuru

Essential Reading / Recommended Reading

1. Hosagannda Sahitya- L.S. Sheshagiri Rao

2. Kannada Sahitya Sameekshe- G. S. Shivarudrappa

3. Bhavageethe- Dr. S. Prabhushankara

4. My Experiments with Truth- M.K. Gandhi

5. Ouru Keri- Siddalingaiah

Evaluation Pattern
 
Evaluation Pattern
 

CIA-1 Wikipedia Assignments- 20 Marks

CIA-2 Mid Semsester Examination- 50 Marks

CIA-3 Wikipedia Assignment-20 Marks

Attendance -10 Marks

End Semester Examination- 50 Marks

 
   

MAT331 - REAL ANALYSIS (2022 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:4

Course Objectives/Course Description

 

Course description : This course enables the students to understand the basic techniques and theories of real Analysis.

 

Course objectives : This course will help the learner to

COBJ1. examine the convergence or divergence of sequences and series.

COBJ2. understand the different types of convergence and their properties.

 

Learning Outcome

Course outcomes : On successful completion of the course, the students should be able to

CO1. Quote and understand the definition of a limit of a sequence or a function in its various forms.

CO2. Demonstrate the convergence or divergence of the geometric and harmonic series and other standard series.

CO3. Apply the basic tests for convergence of infinite series.

CO4. Prove the tests for convergence: Comparison Test, Ratio Test, Cauchy’s Root test, Raabe’s Test, alternating series test etc.

CO5. Understand the differences between convergence and absolute convergence

CO6. Understand and solve binomial , logarithmic and exponential series

Unit-1
Teaching Hours:20
Sets and Sequences
 

Open sets, closed sets, closure of a set, countable and uncountable sets, topology of real line. Sequences: Definition of Sequences, limit of a sequence, algebra of limits of a sequence, convergent, divergent, and oscillatory sequences, problems thereon. Bounded sequences, Monotonic sequences and their properties, Cauchy sequence.

Unit-2
Teaching Hours:20
Infinite Series
 

Infinite series, Cauchy convergence criterion for series, geometric series, comparison test, convergence of p-series, D'Alembert's Ratio test, Raabe's test, Cauchy's Root test, alternating series, Leibnitz’s test. Definition and examples of absolute and conditional convergence.

Unit-3
Teaching Hours:20
Sequence and Series of functions
 

Sequences and series of functions, Pointwise and uniform convergence. Mn - test, M-test, Statements of the results about uniform convergence. Power series and radius of convergence.

Text Books And Reference Books:

S.C.Malik and Savita Arora, Mathematical Analysis , Second Edition, New Delhi, India: New Age international (P) Ltd., 2005.

Essential Reading / Recommended Reading
  1. R.G. Bartle and D. R Sherbert, Introduction to Real Analysis, John Wiley and Sons (Asia) P. Ltd., 2000.
  2. E. Fischer, Intermediate Real Analysis ,1 st ed.(Reprint), Springer Verlag, 2012.
  3. K.A. Ross, Elementary Analysis- The Theory of Calculus Series- Undergraduate Texts in Mathematics, Springer Verlag, 2003.
  4. S Narayana and M.D. Raisinghania, Elements of Real Analysis, Revised ed., S. Chand & Company Ltd, 2011.
  5. T. M. Apostol, Calculus (Vol. I), John Wiley and Sons (Asia) P. Ltd., 2002.
Evaluation Pattern

 

Component

Mode of Assessment

Parameters

Points

CIA I

MCQ,

Written Assignment,

Reference work, etc.,

Mastery of the core concepts

Problem solving skills

 

10

CIA II

Mid-semester Examination

Basic, conceptual and analytical knowledge of the subject

25

CIA III

Written Assignment, Project

Problem solving skills

10

Attendance

Attendance

Regularity and Punctuality

05

ESE

 

Basic, conceptual and analytical knowledge of the subject

50

Total

100

MAT351 - PYTHON PROGRAMMING FOR MATHEMATICS (2022 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Course description: The course Python programming for Mathematics is aimed at enabling the students to appreciate and understand some concepts in mathematics like Matrices, sequences, series, geometric shapes and fractals with the help of Python programming language. It is designed with a learner-centric approach wherein the students will acquire mastery in the subject by using Python programing language as tool.

Course objectives: This course will help the learner to

COBJ1. Acquire programming skill in solving mathematical problems using Python

Learning Outcome

CO1: demonstrate the use of Python to understand and interpret the concepts in sequences and series.

CO2: apply Python to finding the area of the curve.

CO3: acquire proficiency in using Python to find out the inverse determinant, transpose, Eigen values of a Matrix.

CO4: visualize shapes and Fractals

Unit-1
Teaching Hours:30
Proposed Topics
 
  1.  Introduction to NumPy and Sympy
  2. Algebra and Symbolic Math with SymPy
  3. Matrices - determinant, transpose, lower and upper triangular matrices, Eigen values
  4. Solving linear and nonlinear equations
  5. Test for Convergence of Sequences
  6. Test for Convergence of Series
  7. Drawing Geometric Shapes and Fractals
  8. Complex functions in Python
Text Books And Reference Books:
  1. H. Brian, A Practical Introduction to Python Programming, Creative Commons Attribution, 2012.
  2. A. Saha, Doing Math with Python: Use Programming to Explore Algebra, Statistics, Calculus, and More!, No Starch Press, 2015.
Essential Reading / Recommended Reading

H. P. Langtangen, A Primer on Scientific Programming with Python, 2nd ed., Springer, 2016.

Evaluation Pattern

The course is evaluated based on continuous internal assessments (CIA) and the lab e-record. The parameters for evaluation under each component and the mode of assessment are given below.

Component

Parameter

Mode of  Assessment

Maximum

Points

CIA I

Mastery of the  concepts

Lab Assignments

20

CIA II

Conceptual clarity and analytical skills

Lab Exam - I

10

Lab Record

Systematic documentation of the lab sessions.

e-Record work

07

Attendance

Regularity and Punctuality

Lab attendance

03

95-100% : 3

90-94%   : 2

85-89%   : 1

CIA III

Proficiency in executing the commands appropriately,.

Lab Exam - II

10

Total

50

PHY331 - THERMAL PHYSICS AND STATISTICAL MECHANICS (2022 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:04

Course Objectives/Course Description

 

This course on thermal physics and statistical mechanics enables the students to understand the fundamentals of thermodynamics, laws of thermodynamics, thermodynamic potentials, kinetic theory of gases and statistical mechanics.

Learning Outcome

CO1: Understand the theory and methods of statistical physics and thermodynamics

CO2: Explain the procedures for deriving the relation between thermodynamic parameters such as pressure, temperature, entropy and heat capacity from the distribution functions

CO3: Apply the methods of statistical physics in other fields of physics and related fields.

Unit-1
Teaching Hours:20
Laws of thermodynamics
 

Thermodynamic description of system: Zeroth Law of thermodynamics and temperature. First law: internal energy, conversion of heat into work, various thermo dynamical processes (isothermal, adiabatic, isochoric, isobaric and cyclic processes). Applications of first law: general relation between CP&CV (Mayer’s equation), work done during isothermal and adiabatic processes, compressibility & expansion coefficient, reversible & irreversible processes. Second law & entropy, (Carnot’s engine) Carnot’s cycle & theorem, expression for efficiency, entropy changes in reversible & irreversible processes, entropy-temperature diagrams, (principle of increase of entropy), Third law of thermodynamics, unattainability ofabsolute zero.           

Unit-2
Teaching Hours:10
Thermodynamic potentials
 

Enthalpy, Gibbs, Helmholtz and Internal Energy functions and their significance. Maxwell’s thermodynamic relations & applications: Joule-Thompson Effect, Clausius-Clapeyron equation, expression for (CP – CV), CP/CV and TdS equations.  

Unit-3
Teaching Hours:18
Kinetic theory and radiation
 

Postulates of kinetic theory of gases, derivation of Maxwell’s law of distribution of velocities and its experimental verification, most probable velocity, mean velocity, rms velocity, expression for mean free path (zeroth order), transport phenomena: derivation of coefficients of viscosity, conduction and diffusion (for vertical case), law of equipartition of energy (no derivation) and its applications to specific heat of gases; mono-atomic and diatomic gases.

Theory of Radiation: Blackbody radiation, spectral distribution, concept of energydensity, derivation of Planck's law, deduction of Wien’s distribution law, Rayleigh-Jeans law, Stefan- Boltzmann law and Wien’s displacement law from Planck’s law. Solar radiation, solarconstant and surface temperature of Sun.       

Unit-4
Teaching Hours:12
Statistical mechanics
 

Phase space, probability, principle of equal A priori probability, macrostate and microstate, entropy and thermodynamic probability, fundamental postulates of statistical mechanics, kinds of ensembles, Maxwell-Boltzmann law - distribution of velocity - quantum statistics - Fermi-Dirac distribution law, electron gas, Bose-Einstein distribution law - photon gas - comparison of three statistics.       

Text Books And Reference Books:

[1]. Garg, S., Bansal, R., & Ghosh, C. (1993). Thermal physics: Tata McGraw-Hill.

[2]. Brij Lal, N. S. & Hemne, P. S. (2007). Heat thermodynamics and statistical physics: S. Chand & Co.

Essential Reading / Recommended Reading

[3].Meghnad, S., & Srivastava, B.N. (1969). A treatise on heat:  Indian Press.

[4].Fermi, E. (1956). Thermodynamics: Courier Dover Publications.         

[5].Zemasky, M. W., & Dittman, R. (1981). Heat and thermodynamics: McGraw Hill.            

[6].Sears, F. W., & Salinger, G. L. (1988). Thermodynamics, kinetic theory & statistical thermodynamics: Narosa.     

[7].Ronald, L. R. (2003). University physics: Thomson Brooks/Cole.         

[8].Kumar, A., & Taneja, S. P. (2014). Thermal physics: S. Chand Publications. 

Evaluation Pattern

 

No.

Component

Schedule

Duration

Marks

CIA 1

Assignment/test/group task/presentation

Before MSE

 

--

10

CIA 2

Mid Semester Examination (MSE) Centralised

MSE

 2 hours

(50 marks)

25

CIA 3

Assignment/test/group task/presentation

After MSE

--

10

Attendance

75 – 79: 1 mark, 80 – 84: 2 marks, 85 – 89: 3 marks, 90 – 94: 4

marks, 95 – 100: 5 marks

05

ESE

Centralised

3 hours

(100 marks)

50

 

Total

100

 

PHY351 - THERMAL PHYSICS AND STATISTICAL MECHANICS LAB (2022 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:02

Course Objectives/Course Description

 

 

 

The experiments related to thermodynamics and statistical mechanics included in this course provides a thorough understanding of the theory and expose the students to the method of detailed analysis and inferences.

 

 

Learning Outcome

CO1: Better clarity in the basic principles of thermal physics, thermodynamics and Statistical mechanics through the respective experiments and development of problem solving and practical application skills.

Unit-1
Teaching Hours:30
Experiment list
 

1. To determine Mechanical Equivalent of Heat, J, by Callender and Barne’s constant

flow method.

2. Measurement of Planck’s constant using black body radiation.

3. To determine Stefan’s Constant or to verify  Stefan’s law.

4. To determine the coefficient of thermal conductivity of copper by Searle’sApparatus.

5. To determine the Coefficient of Thermal Conductivity of Cu by Angstrom’sMethod.

6. To determine the coefficient of thermal conductivity of a bad conductor by Lee and

Charlton’s disc method.

7. To determine the temperature co-efficient of resistance by Platinum resistancethermometer.

8. To study the variation of thermo emf across two junctions of a thermocouple withtemperature.

9. To record and analyze the cooling temperature of an hot object as a function of time

using a thermocouple and suitable data acquisition system

10. To calibrate Resistance Temperature Device (RTD) using Null Method/Off-BalanceBridge

11. Thermal conductivity of rubber

12. Newton’s law of cooling

13. Determination of emissivity of a surface

Text Books And Reference Books:

Advanced Practical Physics for students, B.L.Flint&H.T.Worsnop, 1971, Asia

 

Publishing House.

Advanced level Physics Practicals, Michael Nelson and Jon M. Ogborn, 4th

Edition, reprinted 1985, Heinemann Educational Publishers

 

Thermal Physics, S. Garg, R. Bansal and C. Ghosh, 1993, Tata McGraw-Hill.

Essential Reading / Recommended Reading

 

A Text Book of Practical Physics, InduPrakash and Ramakrishna, 11th Edition,

2011, Kitab Mahal, New Delhi.

A Laboratory Manual of Physics for Undergraduate Classes, D.P. Khandelwal,

1985, Vani Publication.

Evaluation Pattern

Continuous Internal Assessment (CIA) 60%,   End Semester Examination (ESE) 40%

 

Component

Duration

Marks

CIA

Class work, Prelab assignment, MST

 

30

ESE

Experiment and viva voce

3 hours

 

20

                                                                                   Total

50

 

SAN321 - SANSKRIT (2022 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Sundara Kanda is the only chapter of the Ramayana in which the hero is not Rama, but rather Hanuman. The work depicts the adventures of Hanuman and his selflessness, strength, and devotion to Rama are emphasized in the text. Bhoja only wrote 5 kāṇdas (up to the Sundarakāṇda), and there is a story about this: that he was inspired to write this work the night before a battle, that as he finished the Sundarakāṇda it was time to go, and that he announced that the Yuddhakāṇda would be enacted in the battlefield against the invader, but sadly he never returned. Others have composed a Yuddhakāṇda to complete the work.

The main objective of the students is to understand the champu Kavyas based on the sam.  

The Origin and development of the Champu.

Learning Outcome

CO1: To analyse the content of the text in detail with examples

CO2: To Deliberate the classification and characters of the epic

CO3: To understand the delight of the text.

CO4: To demonstrate an increased ability to read and understand Sanskrit texts

CO5: To understand the prefixes and suffixes and changing the sentences in grammar.

Unit-1
Teaching Hours:35
champu
 

Origin and developmetn of Champu kavyas

Five Important Champus

Level of knowledge: Basic/conceptual/ Analytical

Shlokas 1 -60 Hnumantha¨s voyage to Lanka and searching for Seetha Description of city Lanka , Characters of Champu Kavya 

Unit-2
Teaching Hours:5
Grammar
 

Prayogas and Krudantha

Unit-3
Teaching Hours:5
Language skills
 

Translation of Given passage from English to Sanskrit 

Writing composition in sanskrit on the given topic in Sanskrit

Text Books And Reference Books:

Sundarakanda from Bhaja´s Champu Ramayana 

Chitrakalayaa: ugagamam vikaasam ca

origin and development of painting through Vedas and Puranas

 

Essential Reading / Recommended Reading

   

Reference Books:-

 

1)      Sundarakanda from “Champuramayana of Bhoja  

2)      Sanskrit Grammar by M.R. Kale.

3)       History of Sanskrit literature by Dr.M.S. Shivakumaraswamy.

4)       History of Sanskrit literature by Krishnamachari.

 

 

Evaluation Pattern

CIA 1 Wikipedia assignment

CIA 2 mid semester examination

CIA 3 Wikipedia assignment

TAM321 - TAMIL (2022 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Araillakiyam, bakthi illakiyam, ikala illakiyamn the major allakiyams.The influence myths and puranas are delineated through the good deeds for a better lifestyle.The  Cultural Studies part will have an overview of Indian painting both traditional and modern with special reference to mythology and literature

India 2020- Abdul Kalam

 

 

Learning Outcome

CO1: Recall and categorize the concepts of literature.

CO2: Understand the true essence of the texts, and inculcate them in their daily lives.

CO3: Recognize and apply the moral values and ethics in their learning.

CO4: Comprehend the concepts in literature and appreciate the literary text.

Unit-1
Teaching Hours:10
Ara illakiyam
 

1. Thirukural

2. Avvai kural

Unit-2
Teaching Hours:10
Bhakthi illakiyam
 

1. Thiru vasagam

2. Kambar andhadhi

 

Unit-3
Teaching Hours:10
Ik kaala illakiyam
 

Naatu pura padalgal

Unit-4
Teaching Hours:10
Prose
 

India 2020- Dr. Abdul Kalam

Unit-5
Teaching Hours:3
Common Topic and visual text
 

1. Common topic: Oviyam

2. Visual text : nattupuviyal

Unit-6
Teaching Hours:2
Grammer
 

Sollu illakanam

Text Books And Reference Books:

Thirukkural-Bhoombugar pathipagam- puliyur kesigan urai, Chennai- 08

Kammbarin Ainthu noolgal- Vanathi pathupagam- Dr. R. Rajagopalachariyar,  Chennai- 18

Nathu pura illakiyam- Ki Va jaganathan- malai aruvi- Monarch achagam- chennai

India 2020- APJ Abdul kalam- puthaiyuram aandugaluku aga oru thoali nooku,  New century book house, chennai

 

 

Essential Reading / Recommended Reading

 

Thirukkural-Bhoombugar pathipagam- puliyur kesigan urai, Chennai- 08

Kammbarin Ainthu noolgal- Vanathi pathupagam- Dr. R. Rajagopalachariyar,  Chennai- 18

Nathu pura illakiyam- Ki Va jaganathan- malai aruvi- Monarch achagam- chennai

India 2020- APJ Abdul kalam- puthaiyuram aandugaluku aga oru thoali nooku,  New century book house, chennai

Tamizhar nattup padagal - N Vanamamalai, New century book house, Chennai

 

 

 

 

Evaluation Pattern

EXAMINATION AND ASSIGNMENTS: There is a continuous evaluation both at the formal and informal levels. The language skills and the ability to evaluate a text will be assessed

This paper will have a total of 50 marks shared equally by End Semester Exam (ESE) and Continuous Internal Assessment (CIA) While the ESE is based on theory the CIA will assess the students' critical thinking, leadership qualities, language skills and creativity



AEN421 - ADDITIONAL ENGLISH (2022 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

This course is taught in the second year for students from different streams, namely BA, BSc and B Com. If the first year syllabus is an attempt by the Department of English, Christ University to recognize and bring together the polyphonic Indian voices in English and Indian regional literatures in translation for the Additional English students of the first year, the second year syllabus intends to take that project a little further and open up the engagement of the students to texts from across the world. The syllabus - selection of texts will concentrate on readings from South Asian, Latin American, Australian, Canadian, and Afro-American. It will voice subaltern concerns of identity, gender, race, ethnicity and problems of belongingness experienced by humanity all over the globe.

The syllabus will extend the concerns of nation and nationality and marginalization, discussed within the Indian context to a more inclusive and wider global platform. We have consciously kept out ‘mainstream’ writers and concentrated on the voices of the subalterns from across the world. There is an implicit recognition in this project that though the aspects of marginalization and the problems facing subalterns are present across cultures and nations, the experiences, expressions and reflections are specific to each race and culture. The course will address these nuances and specificities and enable our students to become more aware and sensitive to life and reality around them. This will equip the students, who are global citizens, to understand not just the Indian scenario, but also situate themselves within the wider global contexts and understand the spaces they will move into and negotiate in their future.

 

There is a prescribed text book Blends: Voices from Margins for the second year students, compiled by the Department of English, Christ University and intended for private circulation. 

The course objectives are

·         to introduce the students to look at different cultures through Literature

·         to help students develop an understanding of subaltern realities and identity politics

·         to inculcate literary sensibility/taste among students across disciplines

·         to improve language skills –speaking, reading, writing and listening

·         to equip the students with tools for developing lateral thinking

·         to equip students with critical reading and thinking habits

·         to enable them to grasp and appreciate the variety and abundance of subaltern writing, of which this compilation is just a glimpse 

·         to actively engage with the world as a cultural and social space (to be facilitated through proactive CIAs which help students to interact and engage with the realities they face everyday and have come across in these texts)

·         to learn and appreciate India and its place in the world through association of ideas in the texts and the external contexts

 

·         to reiterate the study skills and communication skills they developed in the previous year and extend it.  

Learning Outcome

CO1 : CO1: To understand the socio- political concerns in various literatures through short stories, poems and essays

CO2: CO2: To critically read and articulate the non- canonised literatures

CO3: CO3: To analyse and apply these textual themes in a multi- cultural, global and professional space

Unit-1
Teaching Hours:12
Novella
 

Unit 1: Novella

·         Viktor Frankl: “Man’s Search for Meaning”(Excerpts)                                       

 

 

Unit-2
Teaching Hours:12
Short Stories
 

Short Story                                                                                                    

·         Anton Chekov: “The Avenger”

·         Chinua Achebe: “Marriage is a Private Affair”

·         Nadine Gordimer: “Train from Rhodesia”

 

·         Wakako Yamuchai: “And the Soul Shall Dance”

Unit-3
Teaching Hours:12
Poetry
 

Poetry                                                                                                             12 hrs

·         Octavio Paz: “As One Listens to the Rain”

·         Jamaica Kincaid: “Girl”

·         Derek Walcott: “A Far Cry from Africa”    

 

·         Joseph Brodsky: “Freedom”

Unit-4
Teaching Hours:9
Essays
 

·         Alice Walker: Excerpts from “In Search of My Mother’s Gardens”

·         Hannah Arendt: “Men in Dark Times”

Dalai Lama Nobel Acceptance Speech

 

 

 

 

Text Books And Reference Books:

Blends Book II

Viktor Frankl's "Man's Search for Meaning"

Essential Reading / Recommended Reading

Elie Wiesel "Night"

Diary of Anne Frank

Famous Nobel Lectures

Evaluation Pattern

CIA 1:  A written test for 20 marks. It can be an Open Book test, a classroom assignment, an objective or descriptive test pertaining to the texts and ideas discussed in class.  

CIA2: Mid-semester written exam for 50 works

 

CIA 3: This is to be a creative test/ project in small groups by students. They may do Collages, tableaus, skits, talk shows, documentaries, Quizzes, presentations, debates, charts or any other creative test for 20 marks. This test should allow the students to explore their creativity and engage with the real world around them and marks can be allotted to students depending on how much they are able to link the ideas and discussions in the texts to the world around them.

CHE431 - CHEMISTRY IV-INORGANIC AND PHYSICAL CHEMISTRY (2022 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:4

Course Objectives/Course Description

 

This course deals with the chemistry of transition elements and the fundamentals of coordination chemistry. In this course also covers studies on gaseous state, liquid state and crystallography.

 

 

Learning Outcome

CO 1: Compare the properties of transition elements and bonding in metal complexes.

CO 2: Correlate the properties of various phase systems and binary liquid mixtures with their applications.

CO 3: Illustrate the structure, bonding, properties and mechanisms of coordination complexes using appropriate theories.

CO 4: Discuss the various theories of gases, symmetry, and structural aspects of crystals.

Unit-1
Teaching Hours:6
Section A: Inorganic Chemistry 1. Transition Elements
 

Pre learning: General group trends with special reference to electronic configuration variable valency colour magnetic and catalytic properties ability to form complexes and stability of various oxidation states

Latimer diagrams for Mn, Fe and Cu. 

Lanthanoids: Electronic configurations, oxidation states, colour, magnetic properties, lanthanide contraction, *separation of lanthanides (ion exchange method only).

Unit-2
Teaching Hours:8
2. Coordination Chemistry-I
 

Prelearning- Werner’s theory, IUPAC system of nomenclature.

Metal- ligand bonding in complexes Valence Bond Theory (VBT): Postulates of VBT, Inner and outer orbital complexes of Cr, Fe, Co, Ni and Cu (coordination numbers 4 and 6). Drawbacks of VBT. Structural and stereoisomerism in complexes with coordination numbers 4 and 6.

Unit-3
Teaching Hours:16
3 Coordination Chemistry-II
 

Crystal field effect, octahedral symmetry. Crystal field stabilization energy (CFSE), Crystal field effects for weak and strong fields. Spectrochemical series, Weak and strong ligand fields magnetic and spectral properties of transition metal complexes, 

Tetrahedral symmetry. Factors affecting the magnitude of Dq. Comparison of CFSE for Oh and Td complexes, Tetragonal distortion of octahedral geometry. Jahn-Teller distortion, Square planar coordination. Limitations of CFT, Evidence for M-L covalent bonding (nephlauxetic effect, NMR and ESR), Introduction to MOT. 

Labile and inert octahedral complexes, chelate effect. Ligand substitution reaction reactions in octahedral and square planar compexes. Trans effect. Electron transfer and ligand transfer reactions.

                                                                                   

Unit-4
Teaching Hours:6
Section B: Physical Chemistry 4. Phase Equilibria
 

 

Phases, components and degrees of freedom of a system, criteria of phase equilibrium. Gibbs Phase Rule and its thermodynamic derivation. Clausius –Clapeyron equation and its importance in phase equilibria. Phase diagrams of one-component systems (water system and sulphur system) and two component systems involving eutectics: KI-water system and lead-silver system-Pattinson’s process. Freezing mixtures-applications.

 

Unit-5
Teaching Hours:8
5. Binary liquid mixtures
 

 Prelearning topics: Ideal solutions and Raoult’s law, nonideal solutions, vapour pressure, boiling point.

Thermodynamics of ideal solutions: deviations from Raoult’s law – non-ideal solutions. Vapour pressure-composition and temperature-composition curves of ideal and non-ideal solutions. Principle of distillation of non-ideal solutions. Lever rule. Azeotropes. Partial miscibility of liquids: Critical solution temperature; effect of impurity on partial miscibility of liquids. Immiscibility of liquids - Principle of steam distillation.

 

Unit-6
Teaching Hours:8
7. Gaseous state
 

 Prelearning topics: Postulates of Kinetic Theory of Gases and derivation of the kinetic gas equation. Deviation of real gases from ideal behaviour, compressibility factor, causes of deviation. van der Waals equation of state for real gases. Boyle temperature (derivation not required).

Maxwell Boltzmann distribution laws of molecular velocities and molecular energies (graphic representation – derivation not required) and their importance. Temperature dependence of these distributions. Most probable, average and root mean square velocities (no derivation). Collision cross section, collision number, collision frequency, collision diameter and mean free path of molecules. Critical phenomena, critical constants and their calculation from van der Waals equation. Andrews isotherms of CO2. Joule Thomson effect and inversion temperature.

 

Unit-7
Teaching Hours:8
8.Crystallography
 

 

Forms of solids-amorphous and crystalline. Symmetry elements, unit cells, crystal systems, Bravais lattice types and identification of lattice planes. Laws of Crystallography - Law of constancy of interfacial angles, Law of rational indices. Weiss and Miller indices. X–Ray diffraction by crystals, *Bragg’s law. Powder method, determination of Avagadro’s number from X ray diffraction. Law of systematic absences.  Structures of NaCl, KCl and CsCl (qualitative treatment only). *Imperfections in crystals.

 Elementary discussion of the liquid crystalline state: Classification, structure and applications.

 

 

 

 

Text Books And Reference Books:

[1] Cotton, F.A. & Wilkinson, G. Basic Inorganic Chemistry, Wiley, 6th edition, 2007. 

[2] P. W Atkins, Physical chemistry, 8th ed., Oxford University Press, 2006. 

Essential Reading / Recommended Reading

 [1] B. R. Puri and L.R Sharma. Advanced Inorganic Chemistry. Delhi: Shoban Lal Nagin Chand and Sons, 2004.

[2] J. D Lee. A  New Concise Inorganic Chemistry. 5th ed. London: Chapman & Hall, Wiley Indian Pvt ltd 2008.

[3] B.R. Puri, L.R. Sharma, M.S. Pathania, Principles of Physical Chemistry Vishal Publications, 2012.

[4] G. M. Barrow Physical chemistry, 5th ed., Tata-Mc Graw Hill, 2006.

[5] Glasstone Samuel,Textbook of Physical Chemistry, 2nd ed. Mcmillan, 2007.

[6] F. Daniels and F.A Alberty. Physical Chemistry. 4th ed. Wiley, 1996.

[7] G.E. Rodgers, Inorganic & Solid State Chemistry, Cengage Learning India Ltd., 2008.

[8] F. A. Cotton, G. Wilkinson and P. L. Gaus, Basic Inorganic Chemistry, 3rd edn., John Wiley.

[9] Satya Prakash, Advanced Inorganic Chemistry, Volume 1, 5th Edition, S. Chand and Sons, New Delhi, 2012.

[10] R. Gopalan, Inorganic Chemistry for Undergraduates, Universities Press, Hyderabad, 2009.

 

Evaluation Pattern

Evaluation Pattern 

 

No.

Component

Schedule

Duration

Marks

CIA1

Assignment/quiz/group task/ presentations

Before MST

--

10

 

CIA2

Mid-Sem Test

[MST]

2 Hrs (50 marks)

25

CIA3

Assignment/quiz/group task/ presentations

After MST

--

10

CIA3

Attendance (75-79 = 1, 80-84 = 2, 85-89 = 3,

90-94 = 4, 95-100 = 5)

--

5

ESE

Centralized

3 Hrs (100 marks)

50

Total

100

CHE451 - CHEMISTRY PRACTICALS - IV (2022 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Principles of physical chemistry studied by the students in the theory classes get reinforced. This course introduces the students to various experiments on electrochemistry, ionic equilibria and thermometry. It emphasizes the importance of organized and systematic approach in carrying out experiments.

 

Learning Outcome

CO1: Analyze the phase changes occurring due to change in temperature and concentration of a sample mixture.

CO2: Evaluate the pH, conductance and potential of the compounds and BOD and COD of water samples.

Unit-1
Teaching Hours:30
Section A:Physical Chemistry
 

1.       Chemical Kinetics

               Study the kinetics of the following reactions.

 a) Initial rate method: Iodide-persulphate reaction

b) Integrated rate method:

   Acid hydrolysis of methyl acetate with hydrochloric acid.

c) Saponification of ethyl acetate.

2. Distribution Study of the equilibrium of one of the following reactions by the distribution method:

a)        Benzoic acid between toluene and water

b)       Cu2+(aq) + xNH2(aq) ------- [Cu(NH3)x]2+

3. Phase equilibria

a) Construction of the phase diagram of a binary system (simple eutectic) using cooling curves.

b) Study of the variation of mutual solubility temperature with concentration for the phenol water system and determination of the critical solubility temperature.

c) Determination of the critical solution temperature and composition of the phenol water system and Study of the effect of impurities on critical solution temperature and composition of the phenol water

 

 

Unit-1
Teaching Hours:30
Section B: Inorganic Chemistry
 

4. Determination of dissolved CO2 in water samples.

5. Determination of dissolved oxygen in water.

6. Determination of Chemical Oxygen Demand (COD)

$ 7. Determination of Biological Oxygen Demand (BOD)

 

8.   Determination of Percentage of available chlorine in bleaching powder.

 

Text Books And Reference Books:

[1] Svehla, G. Vogel’s Qualitative Inorganic Analysis, Pearson Education, 2012.

 

 

 

 

Essential Reading / Recommended Reading

[1]   Khosla, B. D.; Garg, V. C. & Gulati, A. Senior Practical Physical Chemistry, R. Chand & Co.: New Delhi (2011).

 

Evaluation Pattern

 

No.

Component

Duration

Points

Marks

CIA1

Mid-Sem Test

3 Hrs

50

20

 

CIA2

Class work, PreLab Quiz, assignments

---

40

20

CIA3

Record book

-----

20

10

ESE

Centralized (two Examiners)              3 Hrs

 50

50

Total

25+25=50

ENG421 - ENGLISH-IV (2022 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:2

Course Objectives/Course Description

 

 

This syllabus is meant to cater to all the three streams- B.A., B.Sc.and B.Com therefore the selection of units, has been done keeping in mind the general needs of students from these different backgrounds. Topics of universal concern, appeal and relevance have been included to sustain the interests of all students.

 

The selection of topics also progresses in complexity with each semester, enabling the students to gradually progress into more serious and sustained patterns of reading and become increasingly perceptive and conscious of their own selves and the world they see around them.In a nutshell we aim to bring out a text that will empower the holistic development of every student. 

 

 

 

In addition, the selection of topicsis also heavily based on skill sets identified to be taught. Topics are carefully chosen to integrate appropriate language and communication skills among students. The specific focus of these two semesters is to build employability skills among them and to this effect, we have career advancement skills and employability skills based units. The learners will be exposed to various skill sets required to be able to handle various requirements both in their academic and workplaces.

 

 

Course Objectives:   

 

·       To enable learners to develop reading comprehension for various purposes

 

·       To enable learners to develop writing skills for academic and professional needs

 

·       To enable learners to develop the ability to think critically and express logically

 

·       To enable learner to communicate in a socially and ethically acceptable manner

 

·       To enable learners, to read, write and speak with clarity, precision and accuracy

 

 

Learning Outcome

CO1: Ability to judge audience requirements in oral and written communication and communicate accordingly.

CO2: Ability to use specific styles in communication and understand workplace structures and requirements to communicate

CO3: Lead and participate in seminars and group discussions more effectively and with increased confidence.

Unit-1
Teaching Hours:10
Emotional Intelligence
 

 

Self-awareness

 

Stress management

 

Assertive skills

 

Critical thinking

 

Creative problem solving and decision making

 

 Appreciative inquiry

 

 Conflict resolution

 

Unit-2
Teaching Hours:10
Professional skills
 

 

Professional ethics and etiquette (cell phone etiquette)

 

Organisation skills

 

Research and information management

 

Teamwork

 

Leadership skills 

 

Workplace ethics- culture, values and gender (netiquette)job search skill, mindfulness, goal setting, self-awareness

 

Unit-3
Teaching Hours:10
Workplace skills
 

 

Interview skills

 

Professional etiquette

 

Elevator pitch

 

Teleconference

 

Video conference

 

Conference calls

 

Negotiation

 

Networking 

 

Unit-4
Teaching Hours:10
Feature writing
 

 

Writing for advertisement

 

Developing web content

 

Infographics

 

Emails 

 

Making notes in meetings

 

Minutes

 

Newspaper writing

 

Press release

 

Blog writing

 

Tender

 

Memo

 

Brochure

 

User manual

 

Text Books And Reference Books:

NIL

Essential Reading / Recommended Reading

ENGLOGUE 2

Evaluation Pattern

 

CIA 1: Classroom assignment/test/ written or oral tasks for 20 marks keeping in tune with the course objectives and learning outcomes.

 

CIA 2: Mid-semester for 50 marks.

 

CIA 3: Collage, tableaus, skits, talk shows, documentaries, Quizzes or any creative assignments.

End- semester 50 marks 

 

 

 

 

 

End Semester Exam: 2 hrs

 

 

 

 

 

FRN421 - FRENCH (2022 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

French as a second language in the UG program. The method Génération A2 consists of a student's book and an activity book, both included in the digital manual. It consists of 6 units preceded by an initial section of 'Welcome'. Continuing from where A1 left, it aims to enhance learning skills further. The structure of each unit marks a real learning journey into different aspects of the French language and culture.

 

Course Objectives

·       To develop linguistic competencies and sharpen oral and written communicative skills further

·       To enhance awareness of different aspects of francophone civilization.

·       To enrich the learner’s vocabulary

·       To enable learners to engage in and discuss simple topics with ease

 

Learning Outcome

CO1: To familiarize students with the French culture and traditions.

CO 2: To equip students with correct grammar, vocabulary and pronunciation.

CO3: To enhance communicative skills.

CO 4: To make them well versed in all the four language skills.

CO5: To make them ready for A2 level Exams.

Unit-1
Teaching Hours:10
Festivals and traditions in France
 

Lesson 1: Let’s do the housework!

Lexicon – Lodging, the house, rooms

Grammar – The progressive present tense , possessive pronouns, negative form

Speech act – Protesting and reacting

 Lesson 2: About lodging

Lexicon – Furniture and equipment, household tasks

Grammar – Some adjectives and indefinite pronouns, verbs ‘to read, to break up

                   and to complain’

Speech act – Expressing interest and indifference

Unit-2
Teaching Hours:5
Drama
 

Molière’ s L’Avare – Français facile -Act III Sc 8 onwards

Unit-3
Teaching Hours:10
Culture and tradition
 

Lesson 1: All in form!

Lexicon – The human body: exterior / interior, sickness and medicines

Grammar – Simple past tense and imperfect, recent past, expression of duration

Speech act – Narrating in the past tense

Lesson 2: Accidents and catastrophes

Lexicon – Accidents, natural catastrophes

Grammar – Adjectives and indefinite pronouns: nothing, no one, verbs ‘to say,  to run, to die’

Speech act – Expressing fear and reassuring

 

Unit-4
Teaching Hours:5
Drama
 

Molière’ s L’Avare – Français facile -Act IV

Unit-5
Teaching Hours:10
French outside of France
 

Lesson 1: Studying abroad, Happy journey

Lexicon – The educational system, formalities to go abroad

Grammar – Demonstrative pronouns, simple future tense, situating in time

Speech act – Expressing one’s opinion,

 Lesson 2: The weather

Lexicon – The weather

Grammar –Me too, not me, impersonal verbs, verbs ‘ to believe, to follow and to rain’

Speech act – Speaking about the weather, speaking about the future

Unit-6
Teaching Hours:5
Drama
 

Molière’ s  L’Avare – Français facile -Act V

 

Text Books And Reference Books:

1.    Cocton, Marie-Noelle. Génération A2. Paris : Didier, 2016 

2.     Molière, L’Avare – Français facile

 

Essential Reading / Recommended Reading

1.     French websites like Bonjour de France, Fluent U French, Learn French Lab, Point du FLE etc.

 

Evaluation Pattern

Assessment Pattern

CIA (Weight)

ESE (Weight)

CIA 1 – Assignments / Letter writing / Film review

10%

 

CIA 2 –Mid Sem Exam

25%

 

CIA 3 – Quiz / Role Play / Theatre / Creative projects 

10%

 

Attendance

05%

 

End Sem Exam

 

50%

Total

50%

50%

HIN421 - HINDI (2022 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Course Description:

The detailed text-book "Ashad ka ek din” is a drama by Mohan Rakeshi, one of the eminent writers of modern Hindi Literature. Hindi journalismis is one of the major unit of this semester. Phrases, idioms, technical and scientific terminology are included in this semester to improve the literary skills.

Course Objectives:

Through the prescribed play and the theatre performance, students can go through the process of experiential learning. Study of Mass media enables them to get practical training. Phrases, idioms, technical and scientific terminology sharpen the language skills of the students.  

 

Learning Outcome

CO1 : Understand the nuances of Hindi theatre.

CO2: Create awareness of the social issues.

CO3: Improve the skill of critical analysis.

CO4: Develop the writing skills for media.

Unit-1
Teaching Hours:15
Natak- Ashad Ka Ek Din (Play) by Mohan Rakesh
 

Madhavi (Play) ByBhishma Sahni. Rajpal and Sons, New Delhi - 110006 

Level of knowledge: Analitical

Unit-2
Teaching Hours:15
SancharMadhyam
 

  •  Report writing,
  • Media Interview                                                                    
  •  Hindi Journalism 
  • Electronic media and Hindi,
  • Print media                                    

Level of knowledge: Conceptual

Unit-3
Teaching Hours:15
Phrases, Idioms. and Scientific and Technical Terminology
 

1. 50 Nos. Phrases and Idioms for writing the meaning and sentence formation.  

2. 100 Nos. (Hindi equivalent)

Level of knowledge: Basic

Text Books And Reference Books:

  1. "Ashad ka ek din ” is a drama by Bhisma Sahni. Rajpal and Sons, New Delhi - 110006
Essential Reading / Recommended Reading

 1. News reporting and writing:          By Mencher,Melvin..

2. Hindi PatrakaritakaIthihas:By Jagadeesh Prasad Chaturvedi

3. HindiPatrakaritaSwaroopEvamSandarbh:                          By Vinod Godare

4. Media Interview:                     By Philip Bell,Theovanleeuwen.

 

Evaluation Pattern

CIA-1(Digital learning)

CIA-2(Mid sem exam)

CIA-3((Wikipedia-Article creation)

End sem exam

KAN421 - KANNADA (2022 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:50
Credits:03

Course Objectives/Course Description

 

The course introduces the rich Kannada language and helps students to read and write the Regional language effectively. The prescribed text ‘Kalagnani Kanaka’ (Kanaka, the visionary) is all about 15th century poet, saint and philosopher of the Haridasa Bhakti tradition. “Kanaka’s writings touch on all aspects of truth and social reality’ said K.R. Nagaraj, literary critic and the author of the Kalagnani Kanaka play. “Kanaka’s poetry is dense with rhyme, rhythm, meter and rich descriptions. He upholds social justice while addressing the issues of the time-caste and class differentiation and gender oppression, for example. Contrary to popular belief, he never confined himself to any one philosophical tradition- Advaita, Dwaita or Vishistadwaitha” ‘Kannadada Moovattu Kathegalu’ is another prescribed text. Through this text the students are exposed to the writings of Koradkal Sreenivasa Rao, K. P. Poornachandra Tejaswi, Masti Venkatesha Iyengar, G. P. Basavaraj and others. Short stories help students in harnessing creative writing skills.

Learning Outcome

CO1: Reflects the tradition of old & the new

CO2: Helps to create dialogue writing

CO3: Identify key points in stories

CO4: Understand the ideologies during British rule

CO5: Expose to Dasa Sahitya movement

Unit-1
Teaching Hours:20
Kalagnani Kanaka- K.R. Nagaraj
 

Act- 1

Act- 2 

Act- 3 

Act- 4 

Act- 5

Act- 6

Unit-2
Teaching Hours:20
Selected short stories (Kannadada Moovatttu Kathegalu) Edited by: Fakir Mohammed katpadi, Krishnamurthy Hanur Publication: Sahitya Academy,2018
 

1.      Dhaniyara Sathyanarayana-Koradkal Sreenivasa Rao

2.      Thabarana Kate- K. P. Poornachandra Tejaswi

3.      Gowthami Helida Kathe- Masti Venkatesha Iyengar

4.      Raja mattu Hakki- G. P. Basavaraj

Unit-3
Teaching Hours:5
Language Skills
 

Essay Writing/ Letter Writing/ Dialogue writing 

Text Books And Reference Books:

1.      Adhunika Kannada Nataka: K.M. Marualasiddappa

2.      Kannada Rangabhoomi; L.S. Shesshagiri Rao

3.      Kannada Sanna Kathegala Olavu- Giradi Govinda Raju

4.      Tabarana Kathe- Kannada Screen play by Girish Kasaravalli

 

Essential Reading / Recommended Reading

1.      Adhunika Kannada Nataka: K.M. Marualasiddappa

2.      Kannada Rangabhoomi; L.S. Shesshagiri Rao

3.      Kannada Sanna Kathegala Olavu- Giradi Govinda Raju

4.      Tabarana Kathe- Kannada Screen play by Girish Kasaravalli

 

Evaluation Pattern

CIA- Wikipedia Article writing -20 marks

CiA-2 Mid Semester Exams- 50 marks

CIA-3 Wikipedia Article writing- 20 marks

End Semester Exams- 50 marks

MAT431 - ALGEBRA (2022 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:4

Course Objectives/Course Description

 

Course description : This course aims at developing the ability to write the mathematical proofs.  It helps the students to understand and appreciate the beauty of the abstract nature of mathematics and also to develop a solid foundation of theoretical mathematics.

Course objectives : This course will help the learner to

COBJ1. Understand the fundamentals of groups and its theories.

COBJ2. Relate abstract algebraic constructs to more familiar sets and operators

COBJ3. Know about the subgroups and group homomorphisms

COBJ4. Get familiar with the theories on rings, integral domains and fields.

Learning Outcome

CO1: Describe and generate groups, rings and fields.

CO2: Identify and differentiate different structures and understand how changing properties give rise to new structures.

CO3: Demonstrate the knowledge of concepts of rings and fields.

Unit-1
Teaching Hours:15
Groups
 

Definition and examples of groups, examples of abelian and non-abelian groups, the group Zn of integers under addition modulo n and the group U(n) of units under multiplication modulo n, complex roots of unity, groups of symmetries: Equilateral triangle.

Unit-2
Teaching Hours:25
Subgroups and Group Homomorphisms
 

Subgroups, the concept of a subgroup generated by a subset and the commutator subgroup of group, examples of subgroups including the center of a group. order of an element, cyclic subgroups, Cosets, Index of subgroup, Lagrange’s theorem, consequences of Lagrange’s theorem, Normal subgroups: their definition, examples, and characterizations, Quotient groups, permutation groups and Symmetric groups – Homomorphism of groups – Kernel of group homomorphisms and theorems thereon – Fundamental theorem of homomorphism of group.

Unit-3
Teaching Hours:20
Rings, Integral Domain and Fields
 

Definition and examples of rings, examples of commutative and non-commutative rings: rings from number systems, Zn the ring of integers modulo n, ring of real quaternions, rings of matrices, polynomial rings, and rings of continuous functions. Subrings and ideals, Integral domains and fields, examples of fields: Zp, Q, R, and C. Field of rational functions.

Text Books And Reference Books:
  1. I. N. Herstein, Topics in Algebra, Second Edition. Wiley India (P) Ltd. New Delhi, India Vikas Publishing House Pvt. Ltd, 2006.
Essential Reading / Recommended Reading
  1. M. Artin, Abstract Algebra, 2nd Ed., Pearson, 2011.
  2. S. R. Nagpaul and S.K.Jain, Topics in Applied Abstract Algebra, Universities Press, 2010.
  3. Joseph A Gallian, Contemporary Abstract Algebra, 4th Ed., Narosa, 2000.
  4. Pinter, Charles C. A Book of Abstract Algebra, New York: McGraw-Hill, 1990.
  5. J. B. Fraleigh, A First Course in Abstract Algebra, 7th Ed., Pearson, 2002.
Evaluation Pattern

 

Component

Mode of Assessment

Parameters

Points

CIA I

MCQ,

Written Assignment,

Reference work, etc.,

Mastery of the core concepts

Problem solving skills

 

10

CIA II

Mid-semester Examination

Basic, conceptual and analytical knowledge of the subject

25

CIA III

Written Assignment, Project

Problem solving skills

10

Attendance

Attendance

Regularity and Punctuality

05

ESE

 

Basic, conceptual and analytical knowledge of the subject

50

Total

100

MAT451 - PYTHON PROGRAMMING FOR MATHEMATICAL MODELLING (2022 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Course description: The course Python programming for mathematical modelling is aimed at enabling the students study the implementation of Python programming for solving some real world problems. It is designed with a learner-centric approach wherein the students will acquire mastery in the modelling and simulation by using Python programming language as a tool.

Course objectives: This course will help the learner to

COBJ1. Acquire proficiency in using Python to present data grapically

COBJ2. Solving differential equations analytically and numerically using Python.

COBJ3. Acquire skills to solve various Mathematical models- exponential growth, Logistic growth, simple pendulum and spreading of disease.

Learning Outcome

CO1: Solve differential equations governed by mathematical models using Python.

CO2: Demonstrate the use of Python to interpret and analyze the data.

Unit-1
Teaching Hours:30
Proposed Topics
 
  1. Plots -2D and 3D, graph customization.
  2. Solving calculus problems: functions, limits, continuity, and derivatives.
  3. Application of derivatives: cost function, revenue function, marginal cost, marginal revenue.
  4. Differential equations in sympy.
  5. Solution of initial value problems.
  6. Mathematical models using linear differential equations interest rate- Population growth.
  7. Python program for data management (Library, Bank, Billings).
  8. Case Study.
Text Books And Reference Books:
  1. H P Langtangen, A Primer on Scientific Programming with Python, 2nd ed., Springer , 2016.
  2. A. Saha, Doing Math with Python: Use Programming to Explore Algebra, Statistics, Calculus, and More!, No Starch Press, 2015.
Essential Reading / Recommended Reading
  1. B E Shapiro, Scientific Computation: Python Hacking for Math Junkies, Sherwood Forest Books, 2015.
  2. C Hill, Learning Scientific Programming with Python, Cambridge University Press, 2016.
Evaluation Pattern

The course is evaluated based on continuous internal assessments (CIA) and the lab e-record. The parameters for evaluation under each component and the mode of assessment are given below.

Component

Parameter

Mode of  Assessment

Maximum

Points

CIA I

Mastery of the  concepts

Lab Assignments

20

CIA II

Conceptual clarity and analytical skills

Lab Exam - I

10

Lab Record

Systematic documentation of the lab sessions.

e-Record work

07

Attendance

Regularity and Punctuality

Lab attendance

03

95-100% : 3

90-94%   : 2

85-89%   : 1

CIA III

Proficiency in executing the commands appropriately,.

Lab Exam - II

10

Total

50

PHY431 - WAVES AND OPTICS (2022 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:04

Course Objectives/Course Description

 

This course on waves and optics enables the students to understand the fundamentals of simple harmonic motion and wave motion, theoretical explanation of the phenomenon of interference, diffraction and polarization.

Learning Outcome

CO1: Solve problems related to damped, undamped and forced vibrations.

CO2: Understand and conceptualize the Simple harmonic motion and its applications.

CO3: Analyze the damped vibrations, undamped vibrations and forced vibrations

CO4: Apply the concepts of sound waves and relate the particle velocity, group velocity and phase velocity.

CO5: Evaluate the problems related to damped, undamped and forced vibrations.

CO6: Clarity in the basic principles of interference, diffraction, polarization etc and development of problem solving and application skills.

Unit-1
Teaching Hours:15
Oscillations and Waves
 

Simple harmonic motion (SHM):Characteristics of SHM, Forced vibrations and resonance - Fourier’s theorem- Application to saw tooth wave and square wave.

Superposition of harmonic oscillations: Linearity and SuperpositionPrinciple. Oscillations with equal frequencies and different frequencies (Beats), Graphical andAnalytical Methods. Lissajous Figures with equal an unequal frequency and their uses.

Wave Motion:Transverse waves on a string. Travelling and standing waveson a string. Normal Modes of a string. Group velocity, Phase velocity, Plane waves, Spherical waves, Wave intensity.                                                                                                      

Sound: General equation of wave motion, velocity, acceleration of a particle.  Velocity of plane longitudinal waves in a solid medium, Kundt’s tube, velocity measurement and frequency measurement (stroboscopic method).

Unit-2
Teaching Hours:15
Interference of light
 

Electromagnetic nature of light. Definition and Properties of wave front.Huygens Principle. Interference: Division of amplitude and division of wavefront. Young’sDouble Slit experiment. Lloyd’s Mirror and Fresnel’s Biprism. Phase change on reflection: Stokes’ treatment. Interference in Thin Films: parallel and wedge-shaped films. Fringes of equal inclination (Haidinger Fringes); Fringes of equal thickness (Fizeau Fringes). Newton’s Rings: measurement of wavelength and refractive index. Michelson’s Interferometer:Idea of form of fringes (no theory needed), Determinationof wavelength, Wavelength difference, Refractive index and Visibility of fringes.

Unit-3
Teaching Hours:15
Diffraction
 

Fresnel diffraction:  Division of wave front into half-life period. Fresnel half period zones – theory of rectilinear propagation, zone plates – preparation and working as a lens- expression for focal length – comparison with lens – diffraction at a straight-edge – theory.

Fraunhofer diffraction:  Single slit – theory – many slits grating – theory of normal and oblique incidence – dispersive power – resolution – Rayleigh’s criterion – expression for resolving power of grating and telescope   -  resolving power of eye.

Unit-4
Teaching Hours:15
Polarization
 

Review of plane polarized light and methods of production by double refraction – Brewster’s law, Malus law - Huygen’s explanation of double refraction- retarding plates – theory of quarter-wave plate and half-wave plates. Production and detection of circularly, elliptically and linearly polarized light with necessary theory- optical activity – polarimeter – working of Laurent’s half-shade polarimeter–Fresnel’s explanation of optical activity.

Text Books And Reference Books:

[1]. Subramanyam, N., & Brijlal. (1983). Optics, New Delhi: S. Chand & Company. 

[2]. Subramanyam, N., & Brijlal. (1985). Textbook of sound, New Delhi: S Chand & Company 

 

Essential Reading / Recommended Reading

[3]. Jenkins, F. A., & White, H. E. (1976). Fundamentals of optics: McGraw-Hill.

[4]. Sears, F. W., Zemansky, M. W. & Young, H. D. (1986). University physics (13th ed.): Addison-Wesley.

[5]. Ghatak, A. K., & Thyagarajan, K. (1989). Optical electronics: Cambridge University Press.

[6]. Gulati, H. R., & Khanna, D. R. (1991). Fundamentals of optics: S Chand Publication.

[7]. Mathur, B. K. (1995). Principles of optics: Gopal Printing.

[8]. Ghosh, M. (2006). Text book on oscillations, waves and acoustics, New Delhi: S Chand & Company.

Evaluation Pattern

Continuous Internal Assessment (CIA) 50%,   End Semester Examination (ESE) 50%

 

 

 

Component

Schedule

Duration

Marks

Marks reduced to

CIA I

Assignment/test/group task/presentation

Before Mid

Semester

Exam

(MSE)

 

20

10

CIA II

Mid Semester Test (MST)

Centralised

2 hours

50

 

25

CIA III

Assignment/test/group task/presentation

After MST

 

20

 

10

Attendance

75 – 79: 1 mark, 80 – 84: 2 marks, 85 – 89: 3 marks, 90 – 94: 4 marks, 95 – 100: 5 marks

 

05

ESE

Centralised

3 hours

100

 

50

 

Total

 

100

PHY451 - WAVES AND OPTICS LAB (2022 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:02

Course Objectives/Course Description

 

The experiments related to waves and optics included in this course provides a thorough understanding of the theory and expose the students to the method of detailed analysis and inferences.

Learning Outcome

CO1: Better clarity in the basic principles of oscillations, waves, interference, diffraction, polarization of light through the respective experiments and development of problem solving and practical application skills.

Unit-1
Teaching Hours:30
List of expriments
 

1.      Investigation of motion of coupled oscillators.

2.      Determination of the frequency of an electrically maintained tuning fork by Melde’s method and verification of λ2 – T Law.

3.      Study of Lissajous figures using CRO.

4.      Familiarization with Schuster`s focussing: Determination of angle of prism.

5.      Determination of refractive index of materialof prism using sodium light.

6.      Determination of dispersive power of material of prism using mercury light.

7.      Determination of Cauchy constants.

8.      Determination of resolving power of a telescope.

9.      Determination of wavelength of sodium light using Fresnel biprism.

10.  Determination of wavelength of sodium light using Newton’s rings.

11.  Determination of wavelength of laser light using diffraction of single slit.

12.  Determination of wavelength of sodium/mercury light using plane diffraction grating

13.  Determination of resolving power of a plane diffraction grating.

14.Measurement of intensity of laser light using photometer forming diffraction patterns.

15.Determination of velocity of sound in a metal rod using Kundt’s tube.

Text Books And Reference Books:

[1].Advanced practical physics for students, B L Flint and H T Worsnop, Asia Publishing House, 1971.

[2].Advanced level physics practicals, MNelson and JM Ogborn, 4th Edn, Heinemann Educational Publishers, 1985.

Essential Reading / Recommended Reading

[1].A text book of practical physics, I Prakash and Ramakrishna, 11th Edn, Kitab Mahal, New Delhi, 2011.

Evaluation Pattern

Continuous Internal Assessment (CIA) 60%,   End Semester Examination (ESE) 40%

 

Component

Duration

Marks

CIA

Prelab and postlab

MST

 Through Semester

2 hours

20

10

ESE

Experiment and viva voce

3 hours

 

20

                                                                                   Total

50

 

 

SAN421 - SANSKRIT (2022 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Avimarakam by Bhasa is the drama  prescribed as a text and approved in the B.O.S.  It is sociological drama which explains about the society.  . This drama is an imaginary composition of Bhasa . The concept and drama skills expresses the beauty of the style of the author Bhasa.  He creates the characters and the incidents are naturally created. Grammar will also be studied.

Learning Outcome

CO1: To Understand the style and development of the play

CO2: To learn the linguistic skills of the drama.

CO3: To Deliberate the classification and characteristics of the play

CO4: To Understand the features of play

CO5: To understand the basic structural nuances of Panini?s grammar

Unit-1
Teaching Hours:35
Canto 1-5
 

Avimarakam of Balagovindaha  Jha Origin and development of Nataka to understand the different theories and original nature of Sanskrit dramas. Avimarakam  by Balagovind jha  provides an insight to sociological life .Basic grammer only rules are given for usage in composition. Language component will help for proper usage of Sanskrit language.

             Level of knowledge: Basic/conceptual/ Analytical

Avimaraka meeting kurangi and Avimaraka engtering into the mansion of  Kurangi

Unit-2
Teaching Hours:5
Grammar
 

Karaka prakaranam 

Vykarana vishesha 

Unit-3
Teaching Hours:5
Language skills
 

Translation of given passage from English to Sanskrit

Writing an article in Sanskrit on the given topics

Text Books And Reference Books:

Avimarakam  by Balagovind jha 

Essential Reading / Recommended Reading

            

Books for Reference: -

1.      “Avimarakam” by Balagovinda Jha

2.      Basanatakachakram  of choukamba edition.

3.      Sanskrit dramas by a.B.Keith

4.      Sanskrit grammar by M.R.Kale.

Evaluation Pattern

CIA 1 Wikipedia assignments

CIA 2 Mid semester examinations

CIA 3 Wikipedia assignments

TAM421 - TAMIL (2022 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

A new concept, cultural studies, will take the students beyond prescribed syllabus to include music, theatre, painting, and films out of which the art form of music is taken up for the first semester.  Aram poetry- Ara nericharam specifies life discipline and standards, which would pave a successful life for the students. 

Bhakthi ilakiya- them bhavani, cheerapuranam, thirumandiram is inclined towards ritual practices. Kaapiyam with its historical values provides an understanding about life in a mature way.



Learning Outcome

CO1: Recall and categorize the concepts of literature.

CO2: Understand the true essence of the texts, and inculcate them in their daily lives.

CO3: Recognize and apply the moral values and ethics in their learning.

CO4: Comprehend the concepts in literature and appreciate the literary text.

Unit-1
Teaching Hours:10
Kappiyam
 

seevaga sindhamani.

Thirumular Thirumandhiram

These topics coherently plays a significant role in inclination towards spiritual aspects of life. It puts for the religious beliefs and entitles each one to understand the rituals and practices.

Unit-2
Teaching Hours:10
Ara illakiyam
 

Aranericharam- Munai padaiyaar

The text acustoms the core values and ethics with the ideological guidelines and ways of living.

Unit-3
Teaching Hours:10
Bakthi illakiyam
 

Thembavani

Seera puranam

Thiru mular, thiru mandhiram

The text elicits the importance of rituals and beliefs. 

 

Unit-4
Teaching Hours:10
Prose
 

Nadagam

1. Irakam yenge- C N Anna Dhorai

2. Theervu - Indhra partha sarathi

3. Soothradharam- Puvi Arasu

4. Karumbum Kalliyum- Komal saminadhan

5. Palaavku thookigal - Dr. A. Ramasamy

6. Pei ottam- Dr. K A Guna Sekaran

 

Unit-5
Teaching Hours:1
Grammer
 

Vetrumai orupugal

Unit-6
Teaching Hours:4
Common topic
 

Tamizhil pudhirgalum, pazhamozhigalum

Text Books And Reference Books:

1. Neethi book, Manikkavasakar pathippakam, paarimunai, Chennai -08 

2. Tamil paa thirattu - prasaranga pub. Bangalore university, Bangalore 

3. Kappiya noolkal-manikkavasakar pathippakam, Chennai -08 

4. Madagascar kalanchiyam - van a thing pathippakam

 

Essential Reading / Recommended Reading

1. Thamil paa thirattu - prasaranga pub. Bangalore university, Bangalore 

2. Mozhi varalaru - Dr. My. Varatharajan - kazhaka pub. Chennai- 01 

3. Aranerichaaram-Munaipatiyaar 

4. Kazhaka pub. Thirunelveli, thenninthiya saivachiththantha noorpathippu kazhaka, Ltd., Chennai 01 

5. Thirumoor thirumandiram-Thiruvaavatuthurai aathinam, Thiruvaavatuthurai Nadagam, Education in karnataka Bangalore 01. 

6. Madras university , etaikkala illakkiyam, Chennai -01 

7. Thamizh pazhamozhikal, janaral pub. Mylappur, Chennai -04 

8. Thamizhil puthirkal our aayivu-Aaru. Ramanadan, Manikkavasakar niilakam, Chennai -01

 

Evaluation Pattern

 

 

EXAMINATION AND ASSIGNMENTS: There is a continuous evaluation both at the formal and informal levels. The language skills and the ability to evaluate a text will be assessed

This paper will have a total of 50 marks shared equally by End Semester Exam (ESE) and Continuous Internal Assessment (CIA) While the ESE is based on theory the CIA will assess the students' critical thinking, leadership qualities, language skills and creativity

 

CHE531 - CHEMISTRY V-PHYSICAL CHEMISTRY (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:03

Course Objectives/Course Description

 

Course Description:

This course includes important physical topics that describe the influence of electricity and electromagnetic radiation on matter.  Ionic equilibria and Electrochemistry relate to the formation of ions and their ability to migrate under the influence of electricity.   Spectroscopy and Photochemistry are the topics that discuss the interaction of radiation with matter and are the foundation for many analytical techniques today. 

 

 

Learning Outcome

CO1: Explain the concepts of ionic equilibria, electrochemistry, spectroscopy, and photochemistry

CO2: Interpret the spectroscopic responses of organic and inorganic molecules.

CO3: Solve problems based on ionic equilibria, electrochemistry, and photochemistry.

CO4: Discuss the kinetics of photochemical reactions.

Unit-1
Teaching Hours:5
1. Ionic Equilibria
 

Strong, moderate and weak electrolytes, degree of ionization, factors affecting degree of ionization, ionization constant and ionic product of water. Ionization of weak acids and bases, pH scale, common ion effect. Salt hydrolysis-calculation of hydrolysis constant, degree of hydrolysis and pH for different salts. Buffer solutions, mechanism of buffer action and preparation of buffers.  Henderson equation and calculation of pH of a buffer. Solubility and solubility product of sparingly soluble salts – applications of solubility product principle. Ionic product, common ion effect and solubility product in qualitative analysis.Conditions for precipitation. 

Unit-2
Teaching Hours:8
2. Electrochemistry I
 

Prelearning topics: Conductivity, equivalent and molar conductivity and their variation with dilution for weak and strong electrolytes.

 Kohlrausch law of independent migration of ions. Transference number and its experimental determination using Moving boundary methods. Ionic mobility. Applications of conductance measurements: determination of degree of ionization of weak electrolyte, solubility and solubility products of sparingly soluble salts, ionic product of water, hydrolysis constant of a salt using conductivity studies. Conductometric titrations* (only acid-base-four types).Numericals based on above topics.

Unit-3
Teaching Hours:8
3. Electrochemistry II
 

Prelearning topics: Electrode potential, Standard electrode potential, electrochemical series, types of electrodes.

 Reversible and irreversible cells. Concept of EMF of a cell. Measurement of EMF of a cell. Nernst equation and its importance. Thermodynamics of a reversible cell, calculation of thermodynamic properties: ΔG, ΔH and ΔS from EMF data. Calculation of equilibrium constant from EMF data. Concentration cells with transference and without transference. Liquid junction potential and salt bridge. pH determination using hydrogen electrode, quinhydrone electrode and glass electrode. Potentiometric titrations-qualitative treatment (acid-base and oxidation-reduction only).

Unit-4
Teaching Hours:18
4. Molecular Spectroscopy
 

Pre learning: Electromagnetic spectrum, Wave nature of electromagnetic radiation. Wavelength, Frequency, wavenumber, relation between them.

Origin of molecular spectra : Study of rotation, vibration spectra of diatomic molecules. Born-Oppenheimer approximation. Degrees of freedom.            Rotational spectroscopy : Expression for rotational energy. Evaluation of internuclear distance from moment of inertia- problems. Criterion for absorption of radiation - selection rule. Application of microwave spectroscopy.

Vibrational Spectroscopy : Expression for potential energy of simple harmonic oscillator–Hooke’s law. Expression for vibrational energy. Zero point energy. Concept of force constant-its evaluation-problems. Degrees of freedom-modes of vibration for CO2 and H2O molecules. Vibration - rotation spectra PQR bands.

Raman Spectroscopy : Concept of Polarisability. Raman spectra-qualitative study. Stokes and anti-Stokes lines-selection rules. Advantages of Raman spectroscopy over IR spectroscopy.

Electronic spectroscopy: Potential energy curves for bonding and antibonding orbitals. Electronic transitions, qualitative description of σ, Π and non-bonding orbitals and transitions between them. Selection rules and Franck-Condon principle.

Magnetic resonance spectroscopy: NMR spectroscopy (Only principles to be discussed). ESR spectroscopy, NQR spectroscopy and Mossbaur spectroscopy. (Mention only) 

Unit-5
Teaching Hours:6
5. Photochemistry
 

Consequences of light absorption: The Jablonski Diagram, Laws of photochemistry: Grotthuss-Draper law, Stark-Einstein law, Differences between photophysical and photochemical processes with examples. Comparison of photochemical and thermal reactions. 

Kinetics of photochemical reactions: (1) Kinetics of Hydrogen-Chlorine reaction (2) Kinetics of Hydrogen-Bromine reaction (4) Kinetics of dimerisation of anthracene.

Photosensitization, photostationary equilibrium. Singlet and triplet states-Fluorescence, Phosphorescence, Luminescence, Bioluminescence, chemical sensors.Beer-Lambert’s law: Absorption coefficient and molar extinction coefficient. Applications.Laser, classification and uses. Numericals based on relevant topics

Text Books And Reference Books:

 

 B R Puri, L R Sharma and M.S. Patania., Principles of Physical Chemistry. Vishal Publishing Company, Jalandhar. 2011.

Essential Reading / Recommended Reading

1. Barrow, G.M. Physical Chemistry Tata McGraw‐Hill (2007).

2. Castellan, G.W. Physical Chemistry 4th Ed. Narosa (2004).

3. P. W Atkins, Physical chemistry, 8th ed., Oxford University Press, 2006.

4. G. M. Barrow Physical chemistry, 5th ed., Tata-Mc Graw Hill, 2006.

5. Glasstone Samuel,Textbook of Physical Chemistry. 2nd ed. Mcmillan, 2007.

6. F Daniels and F.A Alberty. Physical Chemistry. 4th ed. Wiley, 1996.

7. C. N. Banwell and E.M. Mccash, Fundamentals of Molecular Spectroscopy, TMH  Edition, 2012.

 8. B R Puri, L R Sharma and M.S. Patania., Principles of Physical Chemistry. Vishal Publishing Company, Jalandhar. 2011.

Evaluation Pattern

No.

Component

Schedule

Duration

Marks

CIA1

Assignment/quiz/group task/ presentations

Before MST

--

10

 

CIA2

Mid-Sem Test

[MST]

2 Hrs (50 marks)

25

CIA3

Assignment/quiz/group task/ presentations

After MST

--

10

CIA3

Attendance (75-79 = 1, 80-84 = 2, 85-89 = 3,

90-94 = 4, 95-100 = 5)

--

5

ESE

Centralized

3 Hrs (100 marks)

50

Total

100

CHE541A - CHEMISTRY VA-ORGANIC CHEMISTRY (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:03

Course Objectives/Course Description

 

Course Description: This course deals with various topics of determining reaction mechanisms, spectroscopy, the chemistry of soaps, detergents and dyes. This course on stereochemistry intends to make the students understand different concepts of conformational analysis and optical isomerism.

Learning Outcome

CO1: CO1-Illustrate the stereochemistry of organic molecules, the chemistry of soaps, detergents and dyes.

CO2: CO2-Explain the concepts related to research methodologies and research publications.

CO3: CO3-Analyse the organic compounds using spectroscopic techniques.

CO4: CO4- Interpret the reaction mechanisms.

Unit-1
Teaching Hours:11
1. Stereochemistry
 

Conformational analysis with respect to ethane, propane, butane, and cyclohexane. Interconversion of Wedge Formula, Newman, Sawhorse and Fischer representations. Difference between configuration and conformation.

Concept of isomerism, *types of isomerism, optical isomerism, elements of symmetry, molecular chirality, enantiomers, stereogenic centers, optical activity, properties of enantiomers, chiral and achiral molecules with two stereogenic centers, distereoisomers, mesocompounds, resolution of enantiomers, racemization. Optical activity in compounds not containing asymmetric Carbon- biphenyls, allenes.

 

Relative and absolute configurations, sequence rules, D & L, R & S systems of assigning configuration. Geometrical isomerism; Nomenclature by E and Z system.

Unit-2
Teaching Hours:11
2. Structure Elucidation of organic molecules Using Spectral Data
 

Application of spectral techniques in the structural elucidation of organic compounds. UV-Vis: λmax calculation for dienes and α,β unsaturated carbonyl compounds - UV spectra of butadiene, acetone, methyl vinyl ketone and benzene.

IR: Concept of group frequencies - IR spectra of alcohols, phenols, amines, ethers, aldehydes, ketones, carboxylic acids, esters and amides.

1H NMR: Nuclear magnetic resonance.chemical shift (δ values), uses of TMS as reference. Nuclear shielding and deshielding effects.Equivalent and non-equivalent protons.Effect of electronegativity of adjacent atoms on chemical shift values.Spin-spin splitting and spin-spin coupling (qualitative treatment only). Applications of NMR spectroscopy including identification of simple organic molecules. Examples: Shielding and deshielding effects for (i) methane (ii) CH3−Cl (iii) CH2Cl2 (iv) CHCl3. Spin-spin coupling in (i) Cl2CHCHO (ii) 1,1,2-trichloroethane (iii) CH3CH2Cl.

Mass Spectrometry: Introduction. EI ionisation. Determination of molecular mass by MS (elementary idea only – fragmentation study not required).

Unit-3
Teaching Hours:7
3. Methods of Proposing Reaction Mechanism
 

Guidelines for proposing a reasonable mechanism, product studies, bonds broken and formed, inter and intramolecular migration of groups, crossover experiments, exchange with solvents, importance of byproducts, reactive intermediates, energetics, importance of activation parameters. Isotopic substitution in a molecule, primary and secondary kinetic isotope effects - their importance in mechanistic studies. 

Unit-4
Teaching Hours:6
4.Dyes
 

Theories of colour and chemical constitution. Classification of dyes – according to chemical constitution and method of application. Natural and synthetic dyes. Synthesis and applications of: Azo dyes – Methyl orange; Triphenyl methane dyes - Malachite green and Rosaniline; Edible dyes (Food colours) with examples.

Unit-5
Teaching Hours:5
5.Soaps and Detergents
 

Soaps – Introduction. Types of soaps - Toilet soaps, washing soaps. Liquid soap. TFM and grades of soaps. Bathing bars. Cleansing action of soap. Detergents - Introduction. Types of detergents - anionic, cationic, non-ionic and amphoteric detergents. Common detergent additives. Enzymes used in commercial detergents. Comparison between soaps and detergents. Environmental aspects.

Unit-6
Teaching Hours:5
6. Research Methodology
 

Introduction – meaning of research. Types of research, research methods vs methodology. Scientific method of conducting research. Review of literature. Selecting and defining a problem. Science journals.  Impact factor, citation and citation index. Indexing agencies (Scopus, Web of Science), Research proposals

Text Books And Reference Books:

[1] Ashutosh, K., Chemistry of natural products Vol. I, CBS Publications & Distributors

     1st Edition 2010.                                              

[2] Ashutosh, K., Chemistry of natural products Vol. II, CBS Publications & Distributors 1st Edition 2012.

[3] Bhat, S., Nagasampagi B., Sivakumar M., Chemistry of natural productsNarosa Publishing House New Delhi 2005.

[4] Ahluwalia, V. K. Heterocyclic Chemistry, Narosa Publishing House New Delhi, 2016.

[5]Bahl, A. & Bahl, B.S. Advanced Organic Chemistry, S. Chand, 2010.

 

[6]B. Mehta, M. Mehta, Organic Chemistry, PHI Learning Private Limited, 2017.

Essential Reading / Recommended Reading

[1]   S.M. Mukherji, S. P. Singh, and R. P. Kapoor.Organic Chemistry. 3rd, 12th Reprint, New Delhi: New Age International (P) Ltd. Publishers, 2009.

[2]   I. L Finar, Organic Chemistry Vol. II, 5thed. New Delhi: ELBS and Longman Ltd., reprint 2008.

[3]   Jain and Sharma Modern Organic Chemistry 3rd edition, Vishal Publishing Company, 2009.

[4]   R. T Morrison, and R. N. Boyd.Organic Chemistry. 7thed. New Delhi: Prentice-Hall of India (P) Ltd., 2010.

[5]    Katritzky, A. R. Handbook of Heterocyclic Chemistry, 3rd addition, 2010.[6]   Agrawal, O. P. Chemistry of Natural products vol I & II, 41st addition, 2014.

Evaluation Pattern

No.

Component

Schedule

Duration

Marks

CIA1

Assignment/quiz/group task/ presentations

Before MST

--

10

 

CIA2

Mid-Sem Test

[MST]

2 Hrs (50 marks)

25

CIA3

Assignment/quiz/group task/ presentations

After MST

--

10

CIA3

Attendance (75-79 = 1, 80-84 = 2, 85-89 = 3,

90-94 = 4, 95-100 = 5)

--

5

ESE

Centralized

3 Hrs (100 marks)

50

Total

100

CHE541B - CHEMISTRY VB-INORGANIC CHEMISTRY (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

This course will introduce the students to concepts and applications of bioinorganic chemistry, nanomaterials, organometallic chemistry, industrial catalysis, inorganic polymers, metal clusters, sustainability, and climate change.

Learning Outcome

CO1: Explain concepts of bioinorganic chemistry

CO2: Predict the bonding and structure of organometallic compounds.

CO3: Perceive the concept of nuclear chemistry and acid-bases.

CO4: Illustrate the concepts of sustainability, climate change and research methodology.

Unit-1
Teaching Hours:10
Bioinorganic Chemistry
 

Metal ions in biological systems,  Ion transport, Mechanism of action of sodium potassium pump.  Oxygen transport systems- Metalloporphyrins - Haemoglobin and myoglobin, pH of blood,.

Metal storage and transport – ferritin and transferrin, Electron transfer proteins-cytochromes, 

Chlorophyll and photosynthesis (mechanism not expected), Metalloproteins as enzymes – Carbonic anhydrase, Carboxy peptidase, cytochrome P 450, alcohol dehydrogenase,.  

Toxicity of metal ions-Pb, Hg and As. Anticancer drugs: Cis-platin, oxaliplatin and carboplatin – Structure and significance.  

 

Unit-2
Teaching Hours:9
Organometallic Compounds
 

Ligands, classification, hapticity. 

Eighteen electron rule for organometallic com complexes, Synthesis and structure and bonding (VBT only) a) K [PtCl3(-C2H4)] ,  [Fe(-C6H5)2] , [Cr(-C6H5)2], [W (CH3)6].  b) Metal carbonyls:- Ni(CO)4 , Fe(CO)5 , Cr(CO)6 , Co2(CO)8, Mn2(CO)10, Ferrocene 

Catalysis by  organometallic compounds-Unique properties of Organo Aluminium compounds. Zeigler Natta catalyst in the polymerization of alkene, Wilkinson catalyst in the hydrogenation of alkene, Wacker process, Monsanto acetic acid process. (mechanism not expected). 

 

Unit-3
Teaching Hours:5
Acids and Bases
 

Prelearning: Concept of acidity and basicity. Arrheinus concept, Lewis concept

Lowry – Bronsted concept of acids and bases. relative strengths of acid base pairs, Lux Flood concept,  Solvent system concept, Limitations, relative strength of acids and bases. explanation of levelling effect on the basis of solvent system concept.

Hard and soft acids and bases- Pearson concept, application of HSAB principles – Stability of compounds / complexes, predicting the feasibility of a reaction

 

Unit-4
Teaching Hours:8
Nuclear Chemistry
 

Pre learning: N/P ratio, curves, stability belts.  Nuclear binding energy. Mass defect, simple calculations involving mass defect and B.E per nucleon, half-life.

Nuclear fission-Liquid drop model, Modes of release of fission energy

nuclear reactors - Thermal and fast breeder breeder reactors, Disposal of radioactive waste from nuclear reactors, 

Nuclear fusion- thermonuclear reaction-energy source of the sun and stars.  

Radioactive tracers- use of radio isotopes in tracer technique, agriculture, medicine, food preservation and Carbon dating

Artificial radioactivity, Induced radioactivity, Q value of nuclear reactions -Numerical problems.

Atomic energy programme in India. **Case studies on Chernobyl and Fukushima nuclear disaster.

 

Unit-5
Teaching Hours:8
Sustainability and climate change
 

Introduction, definition of sustainability in different context, environmental sustainability renewable sources of energy

Hazard Mitigation: Identification of hazard prone belts, hazard zonation and risk assessment; risk reduction in vulnerable areas, developing warning systems, forecasting, emergency preparedness, education and training activities, planning for rescue and relief work.

Disaster management: Industrial disasters: definition of   disaster management; components of disaster management cycle- crisis management & risk management. Crisis management-quick response & relief, recovery, development. Risk management- risk identification & risk reduction-preparedness, prevention and mitigation.

Climate Change: Anthropogenic–based climate change, Global Warming, Carbon Dioxide, Polar Ice Caps, ozone layer depletion, impact on biodiversity, Biofuels, Solar Power, case studies on climate change.

 

Unit-6
Teaching Hours:5
Research Methodology
 

Introduction – meaning of research. Types of research, research methods vs methodology. Scientific method of conducting research. Review of literature. Selecting and defining a problem. Science journals.  Impact factor, citation and citation index. Indexing agencies (Scopus, Web of Science), Research proposals

Text Books And Reference Books:
  1. M.A. Shah and Tokeer Ahmad, Principles of Nanoscience and Nanotechnology, Narosa Publishing House, New Delhi, 2010.
  2. V.K. Ahluwaliya, Green Chemistry, Narosa Publishing House, New Delhi, 2011.
  3. P.S. Kalsi and J.P. Kalsi, Bioorganic, Bioinorganic and Supramolecular Chemistry, 1st Edition, New Age International Publishers (P) Ltd., New Delhi, 2007.
  4. B.K. Sharma, Industrial chemistry, 11th Edition, Goel publishing House, Meerut, 2000.
  5. S.E. Manahan, Environmental Chemistry, 8th Edition, CRC Press, Florida, 2004.
  6. G.M. Masters, Introduction to Environmental Engineering and Science, 3rd Edition, Prentice-Hall Inc., New Delhi, 2007.
  7. A.K. Ahluwalia, Environmental Chemistry, Ane Books India, New Delhi, 2008.
  8. B.K. Sharma and H. Kaur, Environmental Chemistry, Goel Publishing House, Meerut, 1996.
Essential Reading / Recommended Reading
  1. B.L. Oser, Hawk's Physiological Chemistry, Tata McGraw-Hill Publishing Co. Ltd., New Delhi, 1979. 
  2. L.G. Wade Jr., Organic Chemistry, 6th Edition, Pearson Education, New Delhi, 2013. 
  3. P. Powell, Principles of Organometallic Compounds, 2nd Edition, Chapman and Hall, London, 1988 
  4. Gary L. Miessler, Paul J. Fischer and Donald A. Tarr, Inorganic Chemistry, 5th Edition, Prentice Hall, New Jersey, 2013. 
  5. Gurudeep Raj, Advanced Inorganic Chemistry Vol-I, 33rd Edition, Krishna Prakashan Media (P) Ltd., Meerut, 2014. 
  6. Gurudeep Raj, Advanced Inorganic Chemistry Vol-II, 31st Edition, Krishna Prakashan Media (P) Ltd., Meerut, 2008. 
  7. Asim K Das, Inorganic Chemistry, Volume 3, CBS, 2nd edition, 2010

 

Evaluation Pattern

No.

Component

Schedule

Duration

Marks

CIA1

Assignment/quiz/group task/ presentations

Before MST

--

10

 

CIA2

Mid-Sem Test

[MST]

2 Hrs (50 marks)

25

CIA3

Assignment/quiz/group task/ presentations

After MST

--

10

CIA3

Attendance (75-79 = 1, 80-84 = 2, 85-89 = 3,

90-94 = 4, 95-100 = 5)

--

5

ESE

Centralized

3 Hrs (100 marks)

50

Total

100

CHE551 - CHEMISTRY PRACTICALS V-PHYSICAL CHEMISTRY (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:02

Course Objectives/Course Description

 

 

Course Description:This course introduces the students to various experiments on electrochemistry, chemical kinetics and thermometry. It also emphasizes the importance of organized and systematic approach in carrying out experiments.

Learning Outcome

CO1: Estimate the important parameters pertaining to electrochemistry, ionic equilibria and spectroscopy.

CO2: Evaluate the conductance and potential difference exhibited by the compounds using conductometric and potentiometric methods applying them for various quantitative analysis.

Unit-1
Teaching Hours:30
Chemistry Practicals V -Physical Chemistry
 

Level of knowledge: Conceptual/Analytical

1.      Determination of the equivalent conductivity of 0.1 N NaCl

2.      Determination of the dissociation constant of monochloracetic acid by conductivity method

3.      Determination of the distribution coefficient of benzoic acid between water and toluene.

4.      Determination of the solubility of a sparingly soluble salt (AgCl)  by conductivity method.

5.      Determination of the percentage of NaCl by miscibility temperature method. 

6.      Determination of Cu in aluminum and zinc based alloys using flame photometer.

7.      Determination of potassium using flame photometer.

8.      Determination of transition temperature of a salt hydrate by thermometric method

9.      Determination of equivalent conductance, degree of dissociation and dissociation

constant of a weak acid.

11. Conductometric titration:

i)Strong acid vs. strong base

      ii)Mixture of strong acid and weak acid vs. strong base.

ii)Weak acid vs. strong base

12. Potentiometry

a) Strong acid vs. strong base

b) Weak acid vs. strong base

c) Potassium dichromate vs. Mohr's salt

13. Ionic equilibria and pH measurements

a) Preparation of buffer solutions, determination of pH and comparison of the values with theoretical values.

(i) Sodium acetate-acetic acid

(ii) Ammonium chloride-ammonium hydroxide

b) Measurement of pH of different solutions like aerated drinks, fruit juices, shampoos and soaps (use dilute solutions of soaps and shampoos to prevent damage to the glass electrode) using pH-meter.

14. Adsorption study

a.      Verification of Lanmuir adsorption isotherm

 

b.      Verification of Frendlich adsorption isotherm

Text Books And Reference Books:

 [1] Shoemaker and Garland Experiments in physical chemistry McGraw Hill International  8thedn., 2008.

 

[2] J.B. Yadav, Advanced practical chemistry by Krishna prakashan media (p) ltd,,29th ed. Meerut, 2010.  

Essential Reading / Recommended Reading

[1]F Daniels and F.A Alberty. Physical Chemistry. 4th ed. Wiley, 1996.

[2 P.W Atkins, Physical chemistry,8th  ed., Oxford University Press, 2006 

[3] G.M. Barrow Physical chemistry, 5th ed.,tata, Mc Graw Hill,2006

[4] Glasstone Samuel, Textbook of Physical Chemistry. 2nd ed. Mcmillan, 2007.

[5] B.R. Puri, L.R. Sharma, M.S. Pathania, Principles of Physical ChemistryVishal     Publications, 2012

Evaluation Pattern

No.

Component

Duration

Points

Marks

CIA1

Mid-Sem Test

3 Hrs

50

20

 

CIA2

Class work, PreLab Quiz, assignments

---

40

20

CIA3

Record book

-----

20

10

ESE

Centralized (two Examiners)              3 Hrs

 50

50

Total

25+25=50

CHE551A - CHEMISTRY PRACTICALS VA-ORGANIC CHEMISTRY (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:02

Course Objectives/Course Description

 

Course Description: This course introduces the students to the preparation and purification techniques of organic compounds.  Systematic analysis of organic compounds is also included. It also emphasizes the importance of organized and systematic approach in carrying out experiments. 

Learning Outcome

CO1:: Design organic reactions for various synthetic transformations.

CO2:: Analyse organic compounds quantitatively and interpret spectroscopic characterisation of organic compounds.

Unit-1
Teaching Hours:30
Chemistry Practicals VA -Organic Chemistry (Elective)
 

Organic Chemistry

I.  Preparations: Mechanism of various reactions involved to be discussed.

Recrystallisation, determination of melting point and calculation of quantitative yields to be done.

(a) Bromination of Phenol/Aniline

(b) Benzoylation of amines/phenols

(c) Oxime and 2,4-dinitrophenylhydrazone of aldehyde/ketone

II Purification of organic compounds by crystallization (from water and alcohol) and  
distillation.

  Criteria of Purity: Determination of melting and boiling points.

   Detection of  N, S and halogens in organic compounds.

   Systematic Qualitative Organic Analysis of Organic Compounds possessing monofunctional groups     (-COOH, phenolic, aldehydic, ketonic, amide, nitro, amines) and preparation of one derivative.

 

III. Synthesis and Spectroscopic Analysis

1. Synthesis of benzoic acid from toluene and its spectral analysis.

2. Synthesis of acetanilide from aniline and its spectral analysis.

3. Synthesis of tribromophenol from phenol and its spectral analysis.

 

4. Synthesis of aspirin from salicylic acid and its spectral analysis.

Text Books And Reference Books:

[1] Vogel, A.I., Tatchell, A.R., Furnis, B.S., Hannaford, A.J. & Smith, P.W.G., Textbook of Practical Organic Chemistry, Prentice-Hall, 5th edition, 1996.

 

[2] Ahluwalia, V.K. & Aggarwal, R. Comprehensive Practical Organic Chemistry, Universities Press, 2012.

Essential Reading / Recommended Reading

[1] Vogel, A.I., Tatchell, A.R., Furnis, B.S., Hannaford, A.J. & Smith, P.W.G., Textbook of Practical Organic Chemistry, Prentice-Hall, 5th edition, 1996.

 

[2] Ahluwalia, V.K. & Aggarwal, R. Comprehensive Practical Organic Chemistry, Universities Press, 2012.

Evaluation Pattern

No.

Component

Duration

Points

Marks

CIA1

Mid-Sem Test

3 Hrs

50

20

 

CIA2

Class work, PreLab Quiz, assignments

---

40

20

CIA3

Record book

-----

20

10

ESE

Centralized (two Examiners)              3 Hrs

 50

50

Total

25+25=50

CHE551B - CHEMISTRY PRACTICALS VB-INORGANIC CHEMISTRY (2021 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

This practical course consists of experiments that are designed to reinforce the learning of the theory course Novel Inorganic Solids. Experiments are either based on Preparation of materials or estimation of samples.

Learning Outcome

CO1: Explain concepts of bioinorganic chemistry

CO2: Predict the bonding and structure of organometallic compounds.

CO3: Perceive the concept of nuclear chemistry and acid-bases.

CO4: Illustrate the concepts of sustainability, climate change and research methodology.

Unit-1
Teaching Hours:30
Inorganic chemistry
 

1.Gravimetric estimation of amount of nickel present in a given solution as bis(dimethylglyoximato) nickel(II)

2. Gravimetric estimation of sulphate as BaSO 4

3. Gravimetric estimation of Ferric ions as ferric oxide

4. Gravimetric estimation of aluminium as oxinate in a given solution

5. Gravimetric estimation of magnesium as magnesium oxinate

6. Colorimetric estimation of ferrous ion using ortho-phenanthroline

7. Colorimetric estimation of copper as cuprammonium sulphate

8. Preparation of borax/ boric acid.

9. Determination of free acidity in ammonium sulphate fertilizer.

10. Estimation of calcium in calcium ammonium nitrate fertilizer.

Text Books And Reference Books:

[1] Svehla, G. Vogel’s Qualitative Inorganic Analysis, Pearson Education, 2012.

Essential Reading / Recommended Reading

[1]. Fahlman, B.D. Materials Chemistry, Springer, 2004.

Evaluation Pattern

1. Continuous internal assessment of Practicals ………… 20 Marks

2. Mid-term practical Test ………………………………… 20 Marks

3. Record assessment ……………………………………… 10 Marks

4. End-semester Practical examination ………………….. 50 Marks

(Viva voce – 10 marks

Performing experiment – 40 marks)

TOTAL 100 Marks

MAT531 - LINEAR ALGEBRA (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

This course aims at developing the ability to write the mathematical proofs. It helps the students to understand and appreciate the beauty of the abstract nature of mathematics and also to develop a solid foundation of theoretical mathematics.

Course Objectives : This course will help the learner to

COBJ1. understand the theory of matrices, concepts in vector spaces and Linear Transformations.

COBJ2. gain problems solving skills in solving systems of equations using matrices, finding eigenvalues and eigenvectors, vector spaces and linear transformations.

Learning Outcome

CO1: use properties of matrices to solve systems of equations and explore eigenvectors and eigenvalues.

CO2: understand the concepts of vector space, basis, dimension, and their properties.

CO3: analyse the linear transformations in terms of matrices.

Unit-1
Teaching Hours:15
Matrices and System of linear equations
 

Elementary row operations, rank, inverse of a matrix using row operations, Echelon forms, normal forms, system of homogeneous and non-homogeneous equations, Cayley Hamilton theorem, eigenvalues and eigenvectors, diagonalization of square matrices.

Unit-2
Teaching Hours:15
Vector Spaces
 

Vector space-examples and properties, subspaces-criterion for a subset to be a subspace, linear span of a set, linear combination, linear independent and dependent subsets, basis and dimensions, and standard properties.

Unit-3
Teaching Hours:15
Linear Transformations
 

Linear transformations, properties, matrix of a linear transformation, change of basis, range and kernel, rank and nullity, rank-nullity theorem, non-singular linear transformation, eigenvalues and eigenvectors of a linear transformation.

Text Books And Reference Books:

1. S. Narayan and P.K. Mittal, Text book of Matrices, 10th ed., New Delhi: S Chand and Co. Ltd, 2004.

2. V. Krishnamurthy, V. P. Mainra, and J. L. Arora, An introduction to linear algebra. New Delhi, India: Affiliated East East-West Press Pvt Ltd., 2003.

Essential Reading / Recommended Reading

1. D. C. Lay, Linear Algebra and its Applications, 3rd ed., Indian Reprint, Pearson Education Asia, 2007.

2. S. Lang, Introduction to Linear Algebra, 2nd ed., New York: Springer-Verlag, 2005.

3. S. H. Friedberg, A. Insel, and L. Spence, Linear algebra, 4th ed., Pearson, 2015.

4. Gilbert Strang, Linear Algebra and its Applications, 4th ed., Thomson Brooks/Cole, 2007.

5. K. Hoffmann and R. A. Kunze, Linear algebra, 2nd ed., PHI Learning, 2014.

Evaluation Pattern

Component

Mode of Assessment

Parameters

Points

CIA I

MCQ,

Written Assignment,

Reference work, etc.,

Mastery of the core concepts

Problem solving skills

 

10

CIA II

Mid-semester Examination

Basic, conceptual and analytical knowledge of the subject

25

CIA III

Written Assignment, Project

Problem solving skills

10

Attendance

Attendance

Regularity and Punctuality

05

ESE

 

Basic, conceptual and analytical knowledge of the subject

50

Total

100

 

MAT541A - INTEGRAL TRANSFORMS (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

This course aims at providing a solid foundation upon the fundamental theories on Fourier and Laplace transforms.

Learning Outcome

CO1: Evaluate integrals by using Fourier series and Fourier integrals.

CO2: Apply Fourier sine and cosine transforms for various functions.

CO3: Derive Laplace transforms of different types of functions.

CO4: Utilize the properties of Laplace transforms in solving ordinary differential equations.

Unit-1
Teaching Hours:15
Fourier series and Fourier transform
 

Fourier series and Fourier transform of some common functions. The Fourier integral, complex Fourier transforms, basic properties, transform of the derivative, convolution theorem, and Parseval’s identity. The applications of Fourier transform to ordinary differential equations.

Unit-2
Teaching Hours:15
Fourier sine and cosine transforms
 

Fourier cosine and sine transforms with examples, properties of Fourier Cosine and Sine Transforms, applications of Fourier sine and cosine transforms with examples.

Unit-3
Teaching Hours:15
Laplace transform
 

Laplace Transform of standard functions, Laplace transform of periodic functions, Inverse Laplace transform, solution of ordinary differential equation with constant coefficient using Laplace transform, solution of simultaneous Ordinary differential equations.

Text Books And Reference Books:

B. Davis, Integral transforms and their Applications, 2nd ed., Springer Science and Business Media, 2013.

Essential Reading / Recommended Reading
  1.  E. Kreyszig, Advanced Engineering Mathematics, 18th Ed., New Delhi, India: Wiley Pvt. Ltd., 2010.
  2.  B. S. Grewal, Higher Engineering Mathematics, 39th Ed., Khanna Publishers, July 2005.
  3. P. Dyke, An introduction to Laplace Transforms and Fourier Series, 2nd Ed., Springer Science and Business Media, 2014.
  4. M. D. Raisinghania, Advanced Differential Equations, S Chand and Company Ltd., 2018.
Evaluation Pattern

 

Component

Mode of Assessment

Parameters

Points

CIA I

MCQ,

Written Assignment,

Reference work, etc.,

Mastery of the core concepts

Problem-solving skills

 

10

CIA II

Mid-semester Examination

Basic, conceptual and analytical knowledge of the subject

25

CIA III

Written Assignment, Project

Problem solving skills

10

Attendance

Attendance

Regularity and Punctuality

05

ESE

 

Basic, conceptual and analytical knowledge of the subject

50

Total

100

MAT541B - MATHEMATICAL MODELLING (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

This course is concerned with the fundamentals of mathematical modeling. It deals with finding solution to real world problems by transforming into mathematical models using differential equations. The coverage includes mathematical modeling through first order, second order and system of ordinary differential equations.

 

This course will help the learner to

COBJ1.  interpret the real-world problems in the form of first and second order differential equations. 

COBJ2.  familiarize with some classical linear and nonlinear models. 

COBJ3.  analyse the solutions of systems of differential equations by phase portrait method.

Learning Outcome

CO1: Apply differential equations in other branches of sciences, commerce, medicine and others

CO2: Understand the formulation of some classical mathematical models.

CO3: Demonstrate competence with a wide variety of mathematical tools and techniques.

CO4: Build mathematical models of real-world problems.

Unit-1
Teaching Hours:15
Mathematical Modeling through First Ordinary Differential Equations
 

Population Dynamics, Carbon dating, Newtons law of cooling, Epidemics, Economics, Medicine, mixture problem, electric circuit problem, Chemical reactions, Terminal velocity, Continuously compounding of interest.

Unit-2
Teaching Hours:15
Mathematical Modeling through Second Ordinary Differential Equations
 

The vibrations of a mass on a spring, free damped motion, forced motion, resonance phenomena, electric circuit problem, Nonlinear-Pendulum.

Unit-3
Teaching Hours:15
Mathematical Modeling through system of linear differential equations:
 

Phase plane analysis: Phase Portrait for Linear and Non-Linear Systems, Stability Analysis of Solution, Applications, Predator prey model: Lotka-Volterra Model, Kermack-McKendrick Model, Predator-Prey Model and Harvesting Analysis, Competitive-Hunter Model, Combat models: Lanchester Model, Battle of IWO Jima, Battle of Vietnam, Battle of Trafalgar., Mixture Models, Epidemics-SIR model, Economics.

Text Books And Reference Books:
  1. D. G. Zill and W. S. Wright, Advanced Engineering Mathematics, 4th ed., Jones and  Bartlett Publishers, 2010. 
  2. J. R. Brannan and W. E. Boyce, Differential equations with boundary value  problems: modern methods and applications, Wiley, 2011.
Essential Reading / Recommended Reading
  1. C. H. Edwards, D. E. Penney and D. Calvis, Differential equations and boundary value problems: computing and modeling, 3rd ed., Pearson Education Limited, 2010.
  2. D. G. Zill, Differential Equations with Boundary-Value Problems, I7th ed., Cenage learning, 2008.
Evaluation Pattern

Component

Mode of Assessment

Parameters

Points

CIA I

MCQ,

Written Assignment,

Reference work, etc.,

Mastery of the core concepts

Problem-solving skills

 

10

CIA II

Mid-semester Examination

Basic, conceptual and analytical knowledge of the subject

25

CIA III

Written Assignment, Project

Problem solving skills

10

Attendance

Attendance

Regularity and Punctuality

05

ESE

 

Basic, conceptual and analytical knowledge of the subject

50

Total

100

MAT541C - GRAPH THEORY (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Course Description:This course is an introductory course to the basic concepts of Graph Theory. This includes definition of graphs, types of graphs, paths and circuits, trees, shortest paths and algorithms to find shortest paths.

Course objectives: This course will help the learner to

COBJ 1: Gain conceptual knowledge on terminologies used in graph theory.

 

COBJ 2: Understand the results on graphs and their properties.

COBJ 3: Gain proof writing and algorithm writing skills.

Learning Outcome

CO1: understand the terminology related to graphs

CO2: analyze the characteristics of graphs by using standard results on graphs

CO3: apply proof techniques and write algorithms

Unit-1
Teaching Hours:15
Introduction to Graphs
 

Graphs, connected graphs, classes of graphs, regular graphs, degree sequences, matrices, isomorphic graphs.

Unit-2
Teaching Hours:15
Connectivity
 

Bridges, trees, minimum spanning trees, cut-vertices, blocks, traversability, Eulerian and Hamiltonian graphs, digraphs. 

Unit-3
Teaching Hours:15
Planarity
 

Matching, factorizations, decompositions, graceful labeling, planar graphs, Embedding graphs on surfaces.

Text Books And Reference Books:
  1. G. Chartrand and P. Chang, Introduction to Graph Theory, New Delhi: Tata McGraw Hill, 2006.
Essential Reading / Recommended Reading
  1. N. Deo, Graph Theory with applications to engineering and computer science, Courier Dover Publications, 2017.
  2. J. A. Bondy and U. S. R. Murty, Graph Theory with Applications, Elsevier Science, 1976.
  3. F. Harary, Graph Theory, New Delhi: Narosa, 2001.
  4. D. B. West, Introduction to Graph Theory, New Delhi: Prentice-Hall of India, 2011.
  5. S. A. Choudum, A first Course in Graph Theory, MacMillan Publishers India Ltd, 2013.
Evaluation Pattern

 

Component

Mode of Assessment

Parameters

Points

CIA I

MCQ

Written Assignment

Reference work

Mastery of the core concepts

Problem solving skills

 

10

CIA II

Mid-semester Examination

Basic, conceptual and analytical knowledge of the subject

25

CIA III

Written Assignment / Project

Problem solving skills

10

Attendance

Attendance

Regularity and Punctuality

05

ESE

 

Basic, conceptual and analytical knowledge of the subject

50

Total

100

MAT541D - CALCULUS OF SEVERAL VARIABLES (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Course Description: This course aims to enlighten students with the fundamental concepts of vectors, geometry of space, partial differentiation and vector analysis such as gradient, divergence, curl, and the evaluation of line, surface and volume integrals. The three classical theorems, viz., Green’s theorem, Gauss divergence theorem and the Stoke’s theorem are also covered.

Course objectives​: This course will help the learner to

COBJ1. Gain familiarity with the fundamental concepts of vectors geometry of space.

COBJ2. Understand  differential and integral calculus of vector fields.

COBJ3. Demonstrate an understanding of and be able to use Green’s Theorem for the plane, Stokes Theorem, and Gauss’ divergence Theorem to simplify and solve appropriate integrals.

Learning Outcome

CO1: Solve problems involving vector operations.

CO2: Understand the TNB frame work and derive Serret-Frenet formula.

CO3: Compute double integrals and be familiar with change of order of integration.

CO4: Understand the concept of line integrals for vector valued functions.

CO5: Apply Green's Theorem, Divergence Theorem and Stoke's Theorem.

Unit-1
Teaching Hours:15
Vectors and Geometry of Space
 

Fundamentals:Three-dimensional coordination systems, vectors and vector operations, line and planes in space, curves in space and their tangents, integrals of vector functions, arc length in space, curvature and normal vectors of a space, TNB frame, directional derivatives and gradient vectors, divergence and curl of vector valued functions.

Unit-2
Teaching Hours:15
Multiple Integrals
 

Double integrals: Areas, moments, and centres of mass-double integrals in polar form-triple integrals in rectangular coordinates, masses and moments in three dimensions, triple integrals in cylindrical and spherical coordinates, substitutions in multiple integrals.

Unit-3
Teaching Hours:15
Integration in Vector Fields
 

Line integrals, vector fields, work, circulation and flux, path independence, potential functions, and conservative fields, Green’s theorem in the plane, surface area and surface integrals, parametrized surfaces, Stokes’ theorem, the divergence theorem.

Text Books And Reference Books:

J. R. Hass, C Heil, M D Weir, Thomas’ Calculus, 14th ed., USA: Pearson, 2018.

Essential Reading / Recommended Reading
  1. J. Stewart, Multivariable calculus, 7th ed.: Belmont, USA: Brooks/Cole Cengage Learning., 2013.
  2. M. Spivak, Calculus, 3rd ed., Cambridge University Press, 2006.
  3. T. M. Apostol, Mathematical Analysis, 2nd ed., Wiley India Pvt. Ltd., 2011.
  4. S. Lang, Calculus of several variables, 3rd ed., Springer, 2012.
Evaluation Pattern

 

Component

Mode of Assessment

Parameters

Points

CIA I

MCQ

Written Assignment

Reference work

Mastery of the core concepts

Problem solving skills

 

10

CIA II

Mid-semester Examination

Basic, conceptual and analytical knowledge of the subject

25

CIA III

Assignment/problem solving

Problem solving skills

10

Attendance

Attendance

Regularity and Punctuality

05

ESE

 

Basic, conceptual and analytical knowledge of the subject

50

Total

100

MAT541E - OPERATIONS RESEARCH (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Course description: Operations research deals with the problems on optimization or decision making that are affected by certain constraints / restrictions in the environment. This course aims at teaching solution techniques of solving linear programming models, simple queuing model, two-person zero sum games and Network models.

Course objectives: This course will help the learner to

COBJ1. gain an insight executing the algorithms for solving linear programming problems including transportation and assignment problems.

COBJ2. learn about the techniques involved in solving the two person zero sum game.

COBJ3. calculate the estimates that characteristics the queues and perform desired analysis on a network.

Learning Outcome

CO1: On successful completion of the course, the students should be able to solve Linear Programming Problems using Simplex Algorithm, Transportation and Assignment Problems.

CO2: On successful completion of the course, the students should be able to find the estimates that characterizes different types of Queuing Models.

CO3: On successful completion of the course, the students should be able to obtain the solution for two person zero sum games using Linear Programming.

CO4: On successful completion of the course, the students should be able to formulate Maximal Flow Model using Linear Programming and perform computations using PERT and CPM.

Unit-1
Teaching Hours:15
Introduction to Linear Programming Problems
 

Introduction to simplex algorithm –Special cases in the Simplex Method –Definition of the Dual Problem – Primal Dual relationships – Dual simplex methods. Transportation Models: Determination of the starting solution – iterative computations of the transportation algorithm. Assignment Model: The Hungarian Method.

Unit-2
Teaching Hours:15
Queuing Theory and Game Theory
 

Elements of a queuing Model – Pure Birth Model – Pure Death Model –Specialized Poisson Queues – Steady state Models: (M/M/1):(GD/∞/∞) – (M/M/1):(FCFS/∞/∞) - (M/M/1):(GD/N/∞) – (M/M/c):(GD/∞/∞) –  (M/M/∞):(GD/∞/∞).

Game Theory: Optimal solution of two person zero-sum games – Solution of Mixed strategy Games (only Linear programming solution).

 

Unit-3
Teaching Hours:15
Network Models
 

Linear programming formulation of the shortest-route Problem. Maximal Flow model:- Enumeration of cuts – Maximal Flow Algorithm – Linear Programming Formulation of Maximal Flow Model. CPM and PERT:- Network Representation – Critical path computations – Construction of the Time Schedule – Linear Programming formulation of CPM – PERT calculations.

Text Books And Reference Books:

A.H. Taha, Operations research, 9th ed., Pearson Education, 2014.

Essential Reading / Recommended Reading
  1. F.S. Hillier and G.J. Lieberman, Introduction to operations research, 9th Edition, McGraw-Hill, 2009.
  2. Chandrasekhara Rao & Shanthi Lata Mishra, Operations research, Alpha Science International, 2005.
Evaluation Pattern

 

Component

Mode of Assessment

Parameters

Points

CIA I

MCQ

Written Assignment

Reference work

Mastery of the core concepts

Problem solving skills

 

10

CIA II

Mid-semester Examination

Basic, conceptual and analytical knowledge of the subject

25

CIA III

Written Assignment, Project

Problem solving skills

10

Attendance

Attendance

Regularity and Punctuality

05

ESE

 

Basic, conceptual and analytical knowledge of the subject

50

Total

100

MAT551 - LINEAR ALGEBRA USING PYTHON (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Course description: This course aims at providing hands on experience in using Python functions to illustrate the notions vector space, linear independence, linear dependence, linear transformation and rank.

Course objectives: This course will help the learner to

COBJ1. The built in functions required to deal with vectors and Linear Transformations.

COBJ2. Python skills to handle vectors using the properties of vector spaces and linear transformations

Learning Outcome

CO1: Use Python functions in applying the notions of matrices and system of equations.

CO2: Use Python functions in applying the problems on vector space.

CO3: Apply python functions to solve the problems on linear transformations.

Unit-1
Teaching Hours:30
Proposed Topics:
 
  1. Operations on matrices
  2. Finding rank of matrices
  3. Reducing a matrix to Echelon form
  4. Inverse of a matrix by different methods
  5. Solving system of equations using various methods
  6. Finding eigenvalues and eigenvectors of a matrix
  7. Expressing a vector as a linear combination of given set of vectors
  8. Linear span, linear independence and linear dependence
  9. Linear transformations and plotting of linear transformations
  10. Applications of Rank-Nullity Theorem
Text Books And Reference Books:
  1. A. Saha, Doing Math with Python: Use Programming to Explore Algebra, Statistics, Calculus, and More!, no starch press:San Fransisco, 2015.
  2. H P Langtangen, A Primer on Scientific Programming with Python, 2nd ed., Springer, 2016.
Essential Reading / Recommended Reading
  1. B E Shapiro, Scientific Computation: Python Hacking for Math Junkies, Sherwood Forest Books, 2015.
  2. C Hill, Learning Scientific Programming with Python, Cambridge University Press, 2016.
Evaluation Pattern

The course is evaluated based on continuous internal assessments (CIA) and the lab e-record. The parameters for evaluation under each component and the mode of assessment are given below.

Component

Parameter

Mode of  Assessment

Maximum

Points

CIA I

Mastery of the  concepts

Lab Assignments

20

CIA II

Conceptual clarity and analytical skills

Lab Exam - I

10

Lab Record

Systematic documentation of the lab sessions.

e-Record work

07

Attendance

Regularity and Punctuality

Lab attendance

03

95-100% : 3

90-94%   : 2

85-89%   : 1

CIA III

Proficiency in executing the commands appropriately,.

Lab Exam - II

10

Total

50

MAT551A - INTEGRAL TRANSFORMS USING PYTHON (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

This course will help students to gain skills in using Python to illustrate Fourier transforms, Laplace transforms for some standard functions and implementing Laplace transforms in solving ordinary differential equations of first and second order with constant coefficient.

Course Objectives​: This course will help the learner to

COBJ 1:code python language using jupyter interface.

COBJ 2:use built in functions required to deal with Fourier and Laplace transforms.

COBJ 3:  calculate Inverse Laplace transforms and the inverse Fourier transforms of standard functions using sympy.integrals

Learning Outcome

CO1.: Acquire skill in Python Programming to illustrate Fourier series, Fourier and Laplace transforms.

CO2.: Use Python program to solve ODE?s by Laplace transforms.

Unit-1
Teaching Hours:30
Integral transforms using Python
 
  1.  Fourier series using sympy and numpy.
  2.  Practical harmonic analysis using math, sympy and numpy.
  3.  Fourier cosine and Fourier sine transforms using sympy and math.
  4.  Discrete Fourier transform using Python.
  5.  Laplace transforms using sympy, sympy.integrals and sympy.abc.
  6.  Inverse Laplace transforms using sympy, sympy.integrals and sympy.abc.
  7. Inverse Fourier transforms using sympy, sympy.integrals and sympy.abc.
Text Books And Reference Books:

J. Nunez-Iglesias, S. van der Walt, and H. Dashnow, Elegant SciPy: The art of scientific Python. O'Reilly Media, 2017. 

Essential Reading / Recommended Reading
  1. J. Unpingco, Python for signal processing. Springer International Pu, 2016.
  2. B. Downey, Think DSP: digital signal processing in Python. O'Reilly, 2016.
  3. M. A. Wood, Python and Matplotlib Essentials for Scientists and Engineers, IOP Publishing Limited, 2015.
Evaluation Pattern

Component

Parameter

Mode of Assessment

Maximum points

CIA I

Mastery of the fundamentals

Lab Assignments

20

CIA-II

Conceptual clarity and software skills

Lab Exam 1

10

Lab Record

Systematic

documentation of Lab exercises

e-Record work

07

Attendance

Regularity and punctuality

Lab Attendance

03

95%-100%-3

90%-94%-2

85%-89%-1

CIA III

Proficiency in executing the commands appropriately

Lab Exam 2

10

Total

50

MAT551B - MATHEMATICAL MODELLING USING PYTHON (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Course description: This course provides students with an understanding of the practical and theoretical aspects of mathematical models involving ordinary differential equations (ODEs) using Python programming.

Course objectives:

COBJ1. The course exposes students to various models spanning disciplines such as physics, biology, engineering, and finance.

COBJ2. They will be able to develop a basic understanding of differential equations and skills to implement numerical algorithms to solve mathematical problems using Python.

Learning Outcome

CO1: Acquire proficiency in using Python.

CO2: Demonstrate the use of Python to understand and interpret applications of differential equations

CO3: Apply the theoretical and practical knowledge to real life situations.

Unit-1
Teaching Hours:30
Propopsed Topics
 
  1. Growth of a population – Linear growth, Exponential growth, Logistic growth
  2. Decay Model - Radioactive Decay
  3. Numerical Methods
  4. A Simple Pendulum
  5. Spreading of a Disease
  6. Mixture problems
  7. Trajectory of a ball
  8. Spring mass system
  9. Electrical Circuits
Text Books And Reference Books:
  1. H P Langtangen, A Primer on Scientific Programming with Python, 2nd ed., Springer, 2016.
  2. H. Fangohr, Introduction to Python for Computational Science and Engineering (A beginner’s guide), University of Southampton, 2015.
Essential Reading / Recommended Reading
  1. B E Shapiro, Scientific Computation: Python Hacking for Math Junkies, Sherwood Forest Books, 2015.
  2. C Hill, Learning Scientific Programming with Python, Cambridge Univesity Press, 2016.
  3. A. Saha, Doing Math with Python: Use Programming to Explore Algebra, Statistics, Calculus, and More!, no starch press: San Fransisco, 2015.

 

Evaluation Pattern

The course is evaluated based on continuous internal assessments (CIA) and the lab e-record. The parameters for evaluation under each component and the mode of assessment are given below.

Component

Parameter

Mode of  Assessment

Maximum

Points

CIA I

Mastery of the  concepts

Lab Assignments

20

CIA II

Conceptual clarity and analytical skills

Lab Exam - I

10

Lab Record

Systematic documentation of the lab sessions.

e-Record work

07

Attendance

Regularity and Punctuality

Lab attendance

03

95-100% : 3

90-94%   : 2

85-89%   : 1

CIA III

Proficiency in executing the commands appropriately,.

Lab Exam - II

10

Total

50

MAT551C - GRAPH THEORY USING PYTHON (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Course description: The course graph theory using Python is aimed at enabling the students to appreciate and understand core concepts of graph theory with the help of technological tools. It is designed with a learner-centric approach wherein the students will understand the concepts of graph theory using programming tools and develop computational skills.

Course objectives: This course will help the learner to

COBJ1. Gain familiarity in Python language using jupyter interface and NetworkX package

COBJ2. Construct graphs and analyze their structural properties.

COBJ3. Implement standard algorithms for shortest paths, minimal spanning trees and graph searching..

Learning Outcome

CO1: construct graphs using related matrices

CO2: compute the graph parameters related to degrees and distances

CO3: gain mastery to deal with optimization problems related to networks

CO4: apply algorithmic approach in solving graph theory problems

Unit-1
Teaching Hours:30
Proposed Topics:
 
  1. Introduction to NetworkX package
  2. Construction of graphs
  3. Degree and distance related parameters
  4. In-built functions for different graph classes
  5. Computation of graph parameters using in-built functions
  6. Graph Operations and Graph Connectivity
  7. Customization of Graphs
  8. Digraphs
  9. Matrices and Algorithms of Graphs
  10. Graph as models.
Text Books And Reference Books:

1. Mohammed Zuhair, Kadry, Seifedine, Al-Taie, Python for Graph and Network Analysis.Springer, 2017.

Essential Reading / Recommended Reading
  1. B. N. Miller and D. L. Ranum, Python programming in context. Jones and Bartlett, 2014.
  2. David Joyner, Minh Van Nguyen, David Phillips. Algorithmic Graph Theory and Sage, Free software foundation, 2008.
Evaluation Pattern

The course is evaluated based on continuous internal assessments (CIA) and the lab e-record. The parameters for evaluation under each component and the mode of assessment are given below.

Component

Parameter

Mode of  Assessment

Maximum

Points

CIA I

Mastery of the  concepts

Lab Assignments

20

CIA II

Conceptual clarity and analytical skills

Lab Exam - I

10

Lab Record

Systematic documentation of the lab sessions.

e-Record work

07

Attendance

Regularity and Punctuality

Lab attendance

03

95-100% : 3

90-94%   : 2

85-89%   : 1

CIA III

Proficiency in executing the commands appropriately,.

Lab Exam - II

10

Total

50

MAT551D - CALCULUS OF SEVERAL VARIABLES USING PYTHON (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Course description: The course calculus of several variables using python is aimed at enabling the students to explore and study the calculus with several variables in a detailed manner with the help of the mathematical packages available in Python. This course is designed with a learner-centric approach wherein the students will acquire mastery in understanding multivariate calculus using Python modules.

Course objectives: This course will help the learner to gain a familiarity with

COBJ1. Skills to implement Python language in calculus of several variables

COBJ2. The built-in functions available in library to deal with problems in multivariate calculus

Learning Outcome

CO1: Demonstrate plotting of lines in two and three dimensional space

CO2: implementing appropriate codes for finding tangent vector and gradient vector

CO3: Evaluate line and double integrals using sympy module

CO4: Acquainting suitable commands for problems in applications of line and double integrals.

Unit-1
Teaching Hours:30
Proposed Topics
 
  1. Introduction to basic commands and plotting of graph using matplotlib
  2. Vectors-dot and cross products, plotting lines in two and three-dimensional space, planes and surfaces.
  3. Arc length, curvature and normal vectors.
  4. Curves in sphere: Tangent vectors and velocity- circular helix with velocity vectors.
  5. Functions of two and three variables: graphing numerical functions of two Variables.
  6. Graphing numerical functions in polar coordinates. Partial derivatives and the directional derivative.
  7. The gradient vector and level curves- the tangent plane -the gradient vector field.
  8. Vector fields: Normalized vector fields- two-dimensional plot of the vector field.
  9. Double Integrals: User defined function for calculating double integrals - area properties with double integrals.
  10. Line integrals – Curl and Green’s theorem, divergence theorem.
Text Books And Reference Books:

H P Langtangen, A Primer on Scientific Programming with Python, 2nd ed., Springer, 2016

Essential Reading / Recommended Reading
  1. B E Shapiro, Scientific Computation: Python Hacking for Math Junkies, Sherwood Forest Books, 2015.
  2. C Hill, Learning Scientific Programming with Python, Cambridge Univesity Press, 2016.
Evaluation Pattern

The course is evaluated based on continuous internal assessments (CIA) and the lab e-record. The parameters for evaluation under each component and the mode of assessment are given below.

Component

Parameter

Mode of  Assessment

Maximum

Points

CIA I

Mastery of the  concepts

Lab Assignments

20

CIA II

Conceptual clarity and analytical skills

Lab Exam - I

10

Lab Record

Systematic documentation of the lab sessions.

e-Record work

07

Attendance

Regularity and Punctuality

Lab attendance

03

95-100% : 3

90-94%   : 2

85-89%   : 1

CIA III

Proficiency in executing the commands appropriately,.

Lab Exam - II

10

Total

50

MAT551E - OPERATIONS RESEARCH USING PYTHON (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Course description: Operations research deals with the problems on optimization or decision making that are affected by certain constraints / restrictions in the environment. This course aims to enhance programming skills in Python to solve problems chosen from Operations Research.

 

Course objectives: This course will help the learner to

COBJ1. gain a familiarity in using Python to solve linear programming problems, calculate the estimates that characteristics the queues and perform desired analysis on a network.

COBJ2. use Python for solving problems on Operations Research.

Learning Outcome

CO1: On successful completion of the course, the students should be able to use Python programming to solve linear programming problems by using simplex method and dual simplex method.

CO2: On successful completion of the course, the students should be able to solve Transportation Problems and Assignment Problems using Python module.

CO3: On successful completion of the course, the students should be able to demonstrate competence in using Python modules to solve M/M/1, M/M/c queues, and Computations on Networks.

Unit-1
Teaching Hours:30
Proposed Topics
 
  1. Simplex method
  2. Dual simplex method
  3. Balanced transportation problem
  4. Unbalanced transportation problem
  5. Assignment problems
  6. (M/M/1) queues
  7. (M/M/c) queues
  8. Shortest path computations in a network
  9. Maximum flow problem
  10. Critical path computations
Text Books And Reference Books:

Garrido José M. Introduction to Computational Models with Python. CRC Press, 2016

Essential Reading / Recommended Reading
  1. A.H. Taha, Operations research, 9th ed., Pearson Education, 2014.
  2. Chinneck, J. W., et al. Operations Research and Cyber-Infrastructure. Springer Science Business Media, LLC, 2009.
  3. Hart, William E. Pyomo: Optimization Modelling in Python. Springer, 2012.
  4. Snyman, Jan A, and Daniel N. Wilke, Practical Mathematical Optimization: Basic Optimization Theory and Gradient-Based Algorithms. Springer., 2018.

 

Evaluation Pattern

The course is evaluated based on continuous internal assessments (CIA) and the lab e-record. The parameters for evaluation under each component and the mode of assessment are given below.

Component

Parameter

Mode of  Assessment

Maximum

Points

CIA I

Mastery of the  concepts

Lab Assignments

20

CIA II

Conceptual clarity and analytical skills

Lab Exam - I

10

Lab Record

Systematic documentation of the lab sessions.

e-Record work

07

Attendance

Regularity and Punctuality

Lab attendance

03

95-100% : 3

90-94%   : 2

85-89%   : 1

CIA III

Proficiency in executing the commands appropriately,.

Lab Exam - II

10

Total

50

PHY531 - MODERN PHYSICS - I (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

The course discusses the failure of classical mechanics, the origin of wave mechanics, and quantum mechanics in detail. It also discusses the structure of atoms given by various atomic models.

Learning Outcome

CO1: Understand that classical mechanics will not be sufficient to explain the spectrum of black bodies, the photoelectric effect, etc., and the need for quantum mechanics.

CO2: Learn the nature of duality associated with moving bodies.

CO3: Assimilate various uncertainty principles.

CO4: Understand the structure of atoms.

Unit-1
Teaching Hours:15
Introduction to quantum physics
 

Black body radiation - failures of classical physics to explain blackbody radiation spectrum. 

Particle aspects of radiation: Planck’s hypothesis, radiation law, Photoelectric effect Einstein’s explanation, Compton scattering. Bohr atom model, postulates, stability, and line spectrum. 

Wave aspects of particles - de Broglie hypothesis of matter waves, Davisson-Germer experiment, consequences of de Broglie concepts of matter waves - electron microscope. Concepts of wave and group velocities, wave packet.

Heisenberg uncertainty principle: Elementary proof of Heisenberg’s relation between momentum and position, energy and time, angular momentum and angular position, Consequences of the uncertainty relations: Ground state energy of a particle in one-dimensional box, why an electron cannot exist in the nucleus?   

                                                                                              

Unit-2
Teaching Hours:15
Quantum mechanics
 

Schrödinger equation: equation of motion of matter waves - Schrodinger wave equation for a free particle in one- and three-dimension, Schrodinger wave equation for a particle in the presence of force field, time-dependent and time-independent wave equations, Physical interpretation of the wave function - normalization and orthogonality of wave functions, Probability and probability current density, Admissibility conditions on a wave function. Quantum operators, Eigenfunction and eigenvalue. Expectation values, Postulates of quantum mechanics. Quantum particles under boundary conditions, Applications of quantum mechanics Transmission across a potential barrier, the tunnel effect (qualitative), and particles in a one-dimensional box. One-dimensional simple harmonic oscillator (qualitative) - the concept of zero-point energy.  

                                                                                                

Unit-3
Teaching Hours:15
Atomic physics
 

Structure of atom - Bohr’s model of the hydrogen atom. Excitation and ionization potentials, Frank-Hertz experiment, Orbital angular momentum and orbital magnetic dipole moment, Bohr magneton, Larmor precession, Space quantization, Stern-Gerlach experiment, the concept of spin and spin hypothesis, Spin angular momentum,

Vector model of the atom: Spin-orbit interaction - magnetic moment due to orbital and spin motion (qualitative), Coupling schemes- LS and jj, Quantum numbers associated with vector atom model, Spectral terms, Selection rules, Pauli exclusion principle, the electron configuration of single valence electron atoms (alkali spectra) and two-valence electron atoms and their spectra (s, p, d, and f series).

Magnetic field effect: Expression for magnetic interaction energy, strong and weak magnetic field effects- normal and anomalous Zeeman effects, energy level diagram for sodium D lines.  

 

                                                                                                                                    

Text Books And Reference Books:

[1].Kamal, S., & Singh, S. P. (2005). Elements of quantum mechanics: S. Chand & Company Ltd, 2005.

[2].Serway, & Jewett. (2014). Physics for scientists and engineers with modern physics (9th ed.): Cengage Learning.

[3].Arora, C. L. & Hemne, P. S. (2014). Physics for degree students B.Sc., third year: S.

Chand & Company Pvt. Ltd.

Essential Reading / Recommended Reading

[4].Thomas, A. Moore. (2003). Six ideas that shaped physics: particles behave like waves: McGraw Hill.

[5].Wichman, E. H. (2008). Quantum physics - Berkeley physics course Vol.4: Tata McGraw-Hill.      

[6].Beiser, A. (2009). Concepts of modern physics: McGraw-Hill. 

[7].Taylor, J. R., Zafiratos, P. D., & Dubson, M. A. (2009). Modern physics: PHI Learning.

[8].Kaur, G., & Pickrell, G. R. (2014).  Modern physics: McGraw Hill.             

    

Evaluation Pattern

 

 

Component

Schedule

Duration

Marks

Marks reduced to

CIA I

Assignment/test/group task/presentation

Before Mid Semester Test (MST)

 

20

10

CIA II

Mid Semester Test (MST)

Centralised

2 hours

50

 

 

25

CIA III

Assignment/test/group task/presentation

After MST

 

20

 

 

10

Attendance

75 – 79, 1 mark, 80 – 84, 2 marks, 85 – 89, 3 marks, 90 – 94, 4 marks, 95 – 100, 5 marks

 

05

ESE

Centralised

3 hours

100

 

50

 

                                                    Total

 

100

PHY541A - ANALOG AND DIGITAL ELECTRONICS (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

This course gives the students exposure to the fundamentals of solid state electronics and develops the subject to cover basic amplifiers and oscillators, On the digital side, fundamental digital arithmetic is focused on and logic gates are also introduced to enable simple computations. Units I to III caters to local and regional needs.

Learning Outcome

CO1: ● Understand the basic concepts of analog and digital electronics including semiconductor properties, operational amplifiers, logic gates, combinational and sequential logic.

CO2: ● Apply the theoretical knowledge to design electronic circuits.

CO 3: ● Solve specific theoretical and applied problems in electronics.

Unit-1
Teaching Hours:15
Electronic Devices
 

Semiconductor diodes: p and n type semiconductors. Barrier formation in PN junction diode. Qualitative idea of current flow mechanism in Forward and Reverse biased diode. PN junction and its characteristics. static and dynamic resistance.

Half-wave rectifiers. Centre-tapped and bridge full-wave rectifiers. Calculation of ripple factor and rectification efficiency. Basic idea about capacitor filter, Zener diode and voltage regulation

Bipolar Junction Transistors: n-p-n and p-n-p transistors. Characteristics of CB, CE and CC Configurations. Active, cutoff, and saturation regions. Current gains α and β. Relations between α and β. Load Line analysis of transistors. DC load line and Q-point. Voltage divider bias circuit for CE amplifier. h-parameter equivalent circuit. Analysis of a single-stage CE amplifier using Hybrid model. Input and output Impedance. Current, voltage and power Gains.                                                                                                                           

Unit-2
Teaching Hours:15
Analog electronics
 

Op Amps: Characteristics of an ideal and practical Op-Amp (IC 741), Open-loop& closed-loop gain. CMRR, Concept of virtual ground. Applications of Op-Amps: (1) Inverting and Non-inverting Amplifiers, (2) Adder, (3) Subtractor, (4) Differentiator, (5) Integrator, (6) Zero Crossing Detector. Sinusoidal oscillators: Barkhausen's criterion for self-sustained oscillations. Determination of frequency of RC oscillator

Unit-3
Teaching Hours:15
Digital Electronics
 

Difference between analog and digital circuits. Binary numbers. Decimal to binary and binary to decimal conversion, AND, OR and NOT Gates (realization using Diodes and Transistor). NAND and NOR gates as universal gates. XOR and XNOR gates. De Morgan's theorems. Boolean Laws. Simplification of logic circuit using Boolean algebra. Fundamental products. Minterms and maxterms. Simplification of SOP equations. Karnaugh map (upto 4 variables). Binary addition. Binary subtraction using 2's complement method). Half adders and full adders and subtractors. Flip Flops RS and JK, Binary and decimal counters. Timer IC: IC 555 Pin diagram and its application as astable & monostable multivibrator.                                                                                                              

Text Books And Reference Books:

[1].Solid State Electronic Devices, Ben. G. Streetman, 7th Ed,  2015, Pearson Education India

[2].Digital Principles & Applications, A.P. Malvino, D.P. Leach & Saha, 7th Ed.,2011, Tata McGraw Hill.

Essential Reading / Recommended Reading

 

[1] Op-Amp and Linear Digital Circuits, R. A. Gayakwad, 2000, PHI Learning Pvt. Ltd. [4].Integrated Electronics, J. Millman and C. C. Halkias, 1991, Tata Mc-Graw Hill. 

Evaluation Pattern

No

Components

Marks

CIA1

Assignments

10

CIA2

MSE

25

CIA3

Quiz, MCQ test, presentation,project, MOOC

10

Attendance

 

05

ESE

Centralized

50

Total

 

100

 

PHY541B - RENEWABLE ENERGY AND APPLICATIONS (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

This module makes the students familiar with the significance of Energy

resources in daily life. The important energy sources like solar photovoltaic & solar thermal

energy, wind energy, and ocean energy are discussed. Advancement in the field of fuel cells

and hydrogen as an energy source is also highlighted. Units I to III caters to regional and

national needs.

Learning Outcome

CO1: Understand the developments in Renewable energy resources (Solar, Wind and Tidal) and its significance.

CO2: Learn about the emerging developments in energy research (Fuel cells, OTEC).

CO3: Gain the basic skills needed to start entrepreneurship pertaining to local and regional needs.

Unit-1
Teaching Hours:15
Solar Thermal and Photovoltaic Energy
 

Review of energy resources, Sustainable energy,  Energy Scenario in India, Conventional energy sources, Non-Conventional Energy Resources,  Solar energy- Solar Spectrum, Extraterrestrial and Terrestrial radiation, Solar time, Solar day, hour angle,  Intensity of solar radiation, solar thermal energy collector, Flat plate collector, Concentration type collector, solar cell fundamentals, solar photovoltaics, PN Junction solar cells, study of I-V characteristic, calculation of efficiency and fill factor, semiconductor materials for solar cell,  solar photovoltaic module, photovoltaic system for power generation, case study analysis of solar photovoltaic system.

Unit-2
Teaching Hours:15
Wind and Ocean Energy
 

Origin of winds, Factors affecting wind energy, Nature of winds, Variation of wind speed with height. Energy available in wind- power extraction- Betz limit- Types of Wind turbine- Horizontal axis turbine-Vertical axis wind turbine- Case study analysis. Origin and nature of tidal energy, Tidal energy estimation, tidal energy conversion schemes, Single basin arrangement.Energy and Power from waves, Environmental impacts of Ocean Energy generation. Ocean thermal energy conversion system (OTEC), principle and systems.

Unit-3
Teaching Hours:15
Emerging trends in Renewable Energy Sources
 

Fuel cell- Thermodynamics- Calculation of Gibbs free energy and theoretical voltage of a fuel cell, Variation of efficiency of fuel cell with temperature – comparision with Carnot cycle efficiency.  Classification of fuel cells –Phosphoric acid Fuel cell (PAFC), Alkaline Fuel Cell(AFC) –Solid polymer Fuel cell(SPFC) Molten carbonate Fuel cell (MCFC) Solid oxide Fuel cell (SOFC) FUEL for FUEL cells-efficiency of a fuel cell- V-I characteristics of Fuel cell. Losses in fuel cells: Activation polarization- resistance polarization- concentration polarization- Fuel cell power plant hydrogen energy- production- storage conversion to energy sources and safety issues. Thermolectric power conversion, Thermoelectric power generator.                                                                 

Text Books And Reference Books:

1. Rajesh, K. P. & Ojha, T.P. (2012).  Non-Conventional Energy Sources (3rd ed.), New Delhi: Jain Brothers.

2. Hasan Saeed, S. & Sharma, D.K. (2012).  Non-Conventional Energy Resources, New Delhi: S.K. Kataria & Sons.

3. Khan, B. H. (2006).  Non-conventional energy resources, New Delhi: Tata McGraw Hill.

4. Rai, G. D. (2000). Non-conventional energy sources(4th ed.): Khanna Publishers. 

Essential Reading / Recommended Reading

5. Rao, S. & Parulekar, B. B. (1999). Energy Technology, Non-Conventional, Renewable and Conventional (3rd ed.): Khanna Publications.

6. Gupta, B. R. (1998). Generation of electrical energy: Eurasia Publishing House.

7. Solanki, C.S. (2015). Renewable Energy Technologies: A practical guide for beginners, New Delhi: PHI Learning.

Evaluation Pattern

Continuous Internal Assessment (CIA) 50%,   End Semester Examination (ESE) 50%

 

Component     

Schedule

Duration

Marks

Marks reduced to

CIA I

Assignment/test/group task/presentation

Before Mid Semester Test (MST)

 

20

10

CIA II

Mid Semester Test (MST)

Centralised

2 hours

50

 

 

25

CIA III

Assignment/test/group task/presentation

After MST

 

20

 

 

10

Attendance

75 – 79, 1 mark, 80 – 84, 2 marks, 85 – 89, 3 marks, 90 – 94, 4 marks, 95 – 100, 5 marks

 

05

ESE

Centralised

3 hours

100

 

50

 

                                                    Total

 

100

PHY541C - ASTRONOMY AND ASTROPHYSICS (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Course Description: This module introduces students to the exciting field of astrophysics. This covers the topics such as Fundamentals of Astrophysics, Astronomical Techniques, Sun and Solar System and Stellar Structure. Units I to III cater to national and global needs.

 

Learning Outcome

CO1: ● Get familiarized with the basic properties of stars such as magnitude, spectral type, flux and temperature.

CO2: ● Develop a basic understanding about various processes associated with star formation.

CO3: ● Understand how distinctly high mass stars evolve when compared to the Sun.

CO4: ● Acquire a brief overview about the formation and the expansion of the universe.

Unit-1
Teaching Hours:15
Introduction to astronomy
 

Stars in the Broader Context of Modern Astrophysics - Useful Astronomical Units – Coordinate systems - Distances – Masses - Luminosity and Magnitudes. Galactic Chemical Evolution. Stellar populations.

Basic properties of stars: Introduction - Stellar Distances - Proper Motion - Doppler Shift and Space Motion - Effective Temperatures of Stars. Spectral classification and the HR diagram - Continuum, absorption, and emission spectra of astronomical sources - Collisional excitation and ionization - Stellar Spectral Types - Luminosity Classes - Cluster HR Diagrams. Binary stars - Visual Binaries - Spectroscopic Binaries - Eclipsing Binaries - The Stellar Mass-Luminosity Relation.

Unit-2
Teaching Hours:15
Stellar astrophysics
 

The physical laws of stellar structure, Hydrostatic Equilibrium, Equation of state, Modes of energy transport, Gravitational contraction, thermonuclear reactions.

Star formation: Protostars, pre-main sequence stars, main-sequence stars, Brown dwarfs. 

Stellar evolution: evolution of low mass stars, evolution of high mass stars, Synthesis of elements in stars. Final fate of stars: White dwarfs, Neutron stars, Pulsars, Black holes - Schwarzschild radius.

Unit-3
Teaching Hours:15
Galaxies and universe
 

Structure of the Milky way Galaxy, Star clusters, Hubble’s classification of galaxy, galactic dynamics, Kepler’s third law and the galaxy’s mass. Universe: Galaxies beyond the Milky way, Theories of universe, Olbers’ paradox, Hubble’s law and the distance scale, expanding universe, Cosmic microwave background radiation, origin and evolution of the universe.

Text Books And Reference Books:

[1]. M. Zeilik and S. A. Gregory: Introductory Astronomy and Astrophysics, Saunders College Publication, 1998.

[2]. B. W. Carroll and D. A. Ostlie: An Introduction to Modern Astrophysics, Pearson Addison-Wesley, 2007.

[3]. R. Bowers and T. Deeming: Astrophysics I & II, Bartlett, 1984,

[4]. R. Kippenhahn, A. Weigert and A. Weiss: Stellar Structure and Evolution, 2 nd Edn, Springer-Verlag, 1990.

Essential Reading / Recommended Reading

[5]. J. P. Cox and R. T. Giuli: Principles of Stellar structure, Golden-Breah, 1968.

[6]. M. Harwit: Astronomy Concepts, Springer-Verlag, 1988

[7]. W. J. Kaufmann: Universe, W. H. Freeman and Company, 4th Edn.1994.

[8]. K. F. Kuhn: Astronomy -A Journey into Science, West Publishing Company, 1989

[9]. H. Zirin: Astrophysics of the Sun, CUP, 1988.

[10]. P. V. Foukal: Solar Astrophysics, John Wiley, 1990.

Evaluation Pattern

Continuous Internal Assessment (CIA) 50%, End Semester Examination (ESE) 50%

CIA I (Assignment/test/group task/presentation) - Before Mid Semester Exam (MSE) - 20 Marks - Reduced to 10 Marks

CIA II (Mid Semester Test (MST)) - Centralised - 50 Marks - Reduced to 25 Marks

CIA III (Assignment/test/group task/presentation) - After MST - 20 Marks - Reduced to 10 Marks

Attendance (75 – 79: 1 mark, 80 – 84: 2 marks, 85 – 89: 3 marks, 90 – 94: 4 marks, 95 – 100: 5 marks) - 5 Marks

End Semester Exam - Centralised - 100 Marks - Reduced to 50 Marks

PHY551 - MODERN PHYSICS - I LAB (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

The experiments related to atomic and modern physics included in this course expose the students to many fundamental experiments in physics and their detailed analysis and conclusions. This provides a strong foundation to the understanding of physics.

Learning Outcome

CO1: Understand the theory involved with the experiment

CO2: Appreciate the developments in modern physics through experiments.

CO3: Analyze the experimental data with the standard data.

Unit-1
Teaching Hours:30
List of experiments
 

1.Determination of Planck’s constant using photocell and LEDs/filters. (Online & offline)

2.Determination of absorption coefficient of light in KMnO4 and water media.  (Online & offline)

3.Study of black body radiation and determination of Stefan-Boltzmann constant. (Online & offline)

4.Determination of wavelength of absorption bands of KMnO4.

5.Determination of e/m of the electron using Thomson’s method.

6.Determination of ionization potential of mercury/xenon. (Online & offline)

7.Study of the hydrogen spectrum and determination of the Rydberg constant. (Online & offline)

8.Study of photoelectric effect: verification of observations of photoelectric effect and determination of work function. (Online & offline)

9.Determination of charge of the electron using the Millikan oil drop method. (Online & offline)

10.  Study of the Zeeman effect

Text Books And Reference Books:

[1].Serway, & Jewett. (2014). Physics for scientists and engineers with modern physics (9th ed.): Cengage Learning.

[2].Wichman, E. H. (2008). Quantum physics - Berkeley physics course Vol.4: Tata McGraw-Hill.  

Essential Reading / Recommended Reading

[3].Beiser, A. (2009). Concepts of modern physics: McGraw-Hill. 

[4].Taylor, J. R., Zafiratos, P. D., & Dubson, M. A. (2009). Modern physics: PHI Learning.

 

Evaluation Pattern

 

Component

Duration

Marks

CIA

Class work, Prelab assignment, MST

 

30

ESE

Experiment and viva voce

3 hours

 

20

                                                                                   Total

50

 

PHY551A - ANALOG AND DIGITAL ELECTRONICS LAB (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

This course gives a good understanding of the functioning and applications of basic solid-state electronic devices and their circuits like amplifiers and oscillators.

Learning Outcome

CO1: ● Understand and get familiarized with assembling basic electronic building block circuits.

CO2: ● Understand the working of various analog and digital electronics devices.

CO3: ● Acquire practical skills that enable them to get employed in industries or pursue higher studies or research assignments that meet the local and national needs.

Unit-1
Teaching Hours:30
List of experiments
 

Study and compare IV characteristics of PN diode, Zener diode, LED.

2. To study transistor characteristics in CE mode

3. To design an inverting amplifier of given gain using Op-amp 741 and study its frequency response

4. To design a non-inverting amplifier of given gain using Op-amp 741 and study its Frequency Response.

5. To design a phase shift oscillator for a given frequency of operation using an Op amp.

6. Op amp as differentiator

7. Op amp as integrator

8. Half wave and Full wave Rectifiers

7. To verify and design AND, OR, NOT, and XOR gates using NAND.

9. Half and full adder circuits.

10. Astable multivibrator of given specifications using 555 Timer IC.

11. Monostable multivibrator of given specifications using 555 Timer IC.

 

Text Books And Reference Books:

Basic Electronics: A text lab manual, P.B. Zbar, A.P. Malvino, M.A. Miller, 1994, Mc-Graw Hill.

[2]. Electronic circuits and devices by Boylstead, Pearson Education 2002 Electronic circuits and devices by Boylstead, Pearson Education 2002

BSc– Physics– Syllabus 2014-15 15

[3]. OP-Amps and Linear Integrated Circuit, R. A. Gayakwad, 4th edition, 2000, Prentice Hall.

Essential Reading / Recommended Reading

Basic Electronics: A text lab manual, P.B. Zbar, A.P. Malvino, M.A. Miller, 1994, Mc-Graw Hill.

Evaluation Pattern

No

Components

Marks

CIA1

pre lab

10

CIA2

MSE

10

CIA3

post lab

10

     

ESE

Centralized

20

Total

 

50

 

PHY551B - RENEWABLE ENERGY AND APPLICATIONS LAB (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

This module makes the students get the practical knowledge of Energy resources & converters. The important energy sources like solar photovoltaic, thermo electric power and Fuel cells are highlighted. 

Learning Outcome

CO1: Understand the working of energy conversion devices used in renewable energy

CO2: Calculate the thermodynamic parameters (efficiency, fill factor, Gibbs free energy, entropy etc.)

CO3: Know about the latest developments and emerging trends in renewable energy devices (Fuel cells, Hydrogen generation etc.)

CO4: Apply the concepts for solving local, national and global energy problems

Unit-1
Teaching Hours:30
Renewable Energy and Applications Lab
 

List of experiments

 1. Thermo emf analysis-Verification of thermoelectric laws

2. V-I characteristics of a solar cell

3. Efficiency and fill factor of solar cell

4. Verification of Inverse square law of a solar cell

5. Photo transistor-Characteristics

6. Thermo electric power of n-type and p-type Bismuth Telluride by differential method.

7. Verification of Fuel cell characteristics.

8. Measurement of Piezoelectric constant of PVDF

Text Books And Reference Books:

[1]. Chetan Singh Solanki, Renewable Energy Technologies: A practical guide for beginners, PHI Learning (Pvt) Ltd, New Delhi, 2013.

[2]. B. H. Khan: Non-conventional energy resources, TMH publishing, New Delhi2006.

[3].Rai, G. D. (2000). Non-conventional energy sources (4th ed.): Khanna Publishers. 

 

 

Essential Reading / Recommended Reading

[5].Rao, S., & Parulekar, B. B. (1999). Energy technology, non-conventional, renewable and conventional (3rd ed.): Khanna Publications.

 

[6].Gupta, B. R. (1998). Generation of electrical energy: Eurasia Publishing House.

[7].Solanki, C.S. (2015). Renewable energy technologies: A practical guide for beginners, New Delhi: PHI Learning. 

 

Evaluation Pattern

Practical

Continuous Internal Assessment (CIA) 60%,   End Semester Examination (ESE) 40%

 

Component

Duration

Marks

CIA

Class work, Prelab assignment, MST

 

30

ESE

Experiment and viva voce

3 hours

 

20

                                                                                   Total

50

 

PHY551C - ASTRONOMY AND ASTROPHYSICS LAB (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

This lab module makes the students familiar with the various experiments in Astrophysics. The suits of experiments cover a broad spectrum from the color-magnitude diagram of star clusters to the study of the expansion of the universe. 

Learning Outcome

CO1: ● Analyze the spectra of stars and evaluate how the spectral lines vary for stars of various spectral types.

CO2: ● Construct the color-magnitude diagram of star clusters and understand the evolutionary phase of a star from its location in the diagram.

CO3: ● Study various distance measurement techniques and analyze the kinematics of stars.

CO4: ● Study the distance - redshift relation which was developed by Edwin Hubble to understand the expansion of the universe.

Unit-1
Teaching Hours:30
List of experiments
 

1. To study the spectral classification of a given sample of stars.

2. To construct the HR Diagram of Star Clusters

3. To study the sunspots using CLEA software

4. To determine the distance of star clusters using CLEA software

5.To study the chemical composition of evolved stars

6. To acquire the magnitude data for star cluster from Webda database and estimate the age

7. To determine the membership of stars in clusters using Gaia data

8. To estimate the equivalent width measurements of emission line stars

Text Books And Reference Books:

[1] W. J. Kaufmann: Universe, W. H. Freeman and Company, 4th Edn.1994.

[2] K. F. Kuhn: Astronomy -A Journey into Science, West Publishing Company, 1989

[3] H. Zirin: Astrophysics of the Sun, CUP, 1988.

[4] P. V. Foukal: Solar Astrophysics, John Wiley, 1990.

Essential Reading / Recommended Reading

Some of the experiments are planned using CLEA software (http://www3.gettysburg.edu/~marschal/clea/speclab.html)

 

Evaluation Pattern

 

Component

Duration

Marks

CIA

Class work, Prelab assignment, MST

 

30

ESE

Experiment and viva voce

3 hours

 

20

                                                                                   Total

50

 

VPHY512 - MATERIAL CHARACTERIZATION TECHNIQUES (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:100
Credits:0

Course Objectives/Course Description

 

Course description

The primary objective of the course is to provide students with a thorough overview of the many techniques available for the structural and microscopic characterization of various material systems. It integrates the material system applications of these characterization techniques with their scientific foundation. Three primary topics are covered in the course: spectroscopy techniques, different microscopy methods, and structural characterization.

Course Objectives

 

Upon completion of this course, the student should be able to:

Ø  Understand the scientific basis of the technique of structural characterizations.

Ø  Interpreting images of the structure of materials, diffraction patterns, spectrographs and microscopy results.

Ø  Identify potential relationships between complementary characterization techniques of materials for meeting the global and national demands in the developing science and technology.

Learning Outcome

CO1: Develop the ability to qualitatively analyze sample data obtained through XRD, XRF, and XPS techniques.

CO2: Explore the diverse applications of vibrational spectroscopy and comprehend how these techniques are employed in various scientific and industrial contexts.

CO3: Explore the applications of electron microscopy techniques in nanotechnology, material science, and other relevant fields.

Unit-1
Teaching Hours:10
X-Ray Characterization Techniques
 

Powder X-ray diffraction (XRD), X-ray fluorescence (XRF) Spectroscopy, X-ray Photoelectron spectroscopy (XPS): Basic Principle – Instrumentation, Working and Applications. Sample data analysis (Qualitatively).

Unit-2
Teaching Hours:10
Vibrational spectroscopy
 

Raman and Infrared: Principles of vibrational spectroscopy, Infrared and Raman activity, Instrumentation and Applications. Sample data analysis (Qualitatively).

Unit-3
Teaching Hours:10
Electron Microscopy
 

Scanning electron microscopy (SEM), Energy dispersive spectroscopy (EDS), Transmission electron microscopy (TEM), Atomic force microscope (AFM): Basics and Working Principles, Instrumentation, Applications. Sample data analysis (Qualitatively).

Text Books And Reference Books:

1. B.D. Cullity and S.R. Stock, Elements of X-ray Diffraction, Third Edition, Pearson, 2001.

2. Y. Leng, Materials Characterisation: Introduction to Microscopic and Spectroscopic Methods, John Wiley & Sons (Asia), 2008.

3. J.C. Vickerman, I. Gilmore, Surface Analysis: The Principal Techniques, 2nd ed., John Wiley & Sons, Inc.2009.

4. B. Raj, T. Jayakumar, M. Thavasimuthu, Practical Non-Destructive Testing, 2nd ed., 1. R.M. Silverstein, Spectrometric identification of organic compounds, 7th ed., John Wiley and Sons, 2007.

Essential Reading / Recommended Reading

1.      S. Zhang, Lin Li, A. Kumar, Materials Characterisation Techniques, CRC press, 2008.

2.      D.A. Skoog, F.J. Holler, S. R. Crouch, Instrumental Analysis, Cengage Learning, 2007.

Evaluation Pattern

Assessment

Max Marks

Assessment 1 - After 15 hours

25 marks

Assessment 2 – Before 30 hours

25 marks

Assignment 1 – After 15 hours

25 marks

Assignment 2 – Before 30 hours

25 marks

Total Marks

100 Marks

CHE631 - CHEMISTRY VI-MOLECULES OF LIFE (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

This course creates awareness about the various topics in biochemistry and the students are made to realize the role of the same in the life processes. The course emphasizes on the importance of leading a healthy life and the significance of a balanced diet which is essential to maintain nutritional requirements.

 

Learning Outcome

CO1: Recall the major contributions in the development of biochemistry and significance of various biomolecules.

CO2: Examine the structure and properties of water and biomolecules in living organisms.

CO3: Predict the reactions related to carbohydrates, proteins, enzymes, nucleic acids and lipids.

CO4: Explain the concepts of energy and nutrition in biosystems.

Unit-1
Teaching Hours:2
Introduction
 

Development of biochemistry- elemental and biochemical composition of living organisms-role of water in biological systems.

Unit-2
Teaching Hours:4
Carbohydrates
 

Structure and biological importance of derived monosaccharides-amino sugars, sugar acids sugar phosphates-oligosaccharides-isomaltose, cellobiose, trehalose-polysaccharides-starch, glycogen and cellulose. Heteropolysaccharides-Occurrence and composition of Hyaluronic acid-chondroitin and its sulphates-dermatan sulphate-heparin-agar-agar.

Unit-3
Teaching Hours:8
Amino Acids, Peptides and Proteins
 

Classification of Amino Acids, Preparation of Amino Acids: Strecker synthesis with mechanism, Gabriel’s phthalimide synthesis.  Zwitterion structure and Isoelectric point. Electrophoresis. Reactions of amino acids- esterification of –COOH group, acetylation of –NH2 group, complexation with Cu2+ ions, ninhydrin, Edman and Sanger’s reagents.

Biological importance of proteins. Overview of Primary, Secondary, Tertiary and Quaternary Structure of proteins. Determination of Primary structure of Peptides by degradation using Edmann reagent and Sanger’s reagent. Synthesis of simple peptides (upto tripeptides) by N-protection (t-butyloxycarbonyl and phthaloyl) & C-activating groups. Use of DCC as a coupling agent in peptide bond formation. Merrifield solid-phase synthesis. Introduction to peptidomimetics.

 

Unit-4
Teaching Hours:8
Enzymes and correlation with drug action
 

Classification-active site-Fischer and Koshland models-Enzyme kinetics- factors affecting rate of enzymatic reactions- Michaelis- Menten  equation.Mechanism of enzyme action, factors affecting enzyme action, Coenzymes andcofactors and their role in biological reactions, Specificity of enzyme action (including stereospecificity), Enzyme inhibitors and their importance, phenomenonof inhibition (Competitive and Non- competitive inhibition). Theories of drug activity: Occupancy theory, rate theory and induced fit theory. Structure –activity relationships of drug molecules.

Unit-5
Teaching Hours:5
Nucleic Acids
 

Components of nucleic acids: Adenine, guanine, thymine and Cytosine (Structure only), other components of nucleic acids, Nucleosides and nucleotides (nomenclature), Structure of polynucleotides; Structure of DNA (Watson-Crick model) and RNA (types of RNA), Genetic Code, Biological roles of DNA and RNA: Replication, Transcription and Translation. 

Unit-6
Teaching Hours:6
Lipids
 

Introduction to lipids, classification. Oils and fats: Common fatty acids present in oils and fats, Omega fatty acids, Trans fats, Hydrogenation, Saponification value, Iodine number. Biological importance of triglycerides, phospholipids, glycolipids, and steroids (cholesterol).  

Steroids: Classification - Cholesterol and sex hormones (structure and biological functions only) - Elementary idea of HDL and LDL – Cholesterol and heart attack – Anabolic steroids and their abuse (elementary idea only) –Doping in sports (a brief study).

Unit-7
Teaching Hours:8
Concept of Energy in Biosystems
 

Oxidation of foodstuff (organic molecules) as a source of energy for cells. Bioenergetics-ATP and other high energy molecules-energy coupling in biological reactions-stepwise process of biological oxidation-Mitochondrial electron transport chain-oxidative phosphorylation- Substrate level phosphorylation. Introduction to Metabolism (catabolism, anabolism). Conversion of food into energy. Outline of catabolic pathways of Carbohydrate-Glycolysis, Fermentation, Kreb’s Cycle. Overview of catabolic pathways of Fats and Proteins.

Unit-8
Teaching Hours:4
Nutrition Biochemistry
 

*Vitamins-definition-classification and deficiency manifestations of water soluble and fat soluble vitamins-coenzyme functions of B-complex vitamins.

*Hormones. Definition- classification into amino acid derivatives, peptide and polypeptide`hormones and steroid hormones with examples and functions.

 

Text Books And Reference Books:

[1] J. L Jain. Fundamentals of Biochemistry. 5th ed. S.Chand & co, reprint 2013 ed.

Essential Reading / Recommended Reading

[1] A. Lehninger, David L. Nelson, and Michael M. Cox. Principles of Biochemistry. 8th ed.W. H. Freeman, 2012.

[2] Conn, and Stumpf. Outlines of Biochemistry.  5thed.  John Wiley & sons, inc, 2012.

[3] P.C Champe and R. A. Harvey.  Biochemistry.4th ed. Lippincott & co, 2011.

[4] M. Devlin and Thomas. Textbook of Biochemistry.  7th ed. Wiley, 2011.

[5] Voet, and Voet. Biochemistry. 6th ed. Wiley, 2012.

Evaluation Pattern

 

No.

Component

Schedule

Duration

Marks

CIA1

Assignment/quiz/group task/ presentations

Before MST

--

10

 

CIA2

Mid-Sem Test

[MST]

2 Hrs (50 marks)

25

CIA3

Assignment/quiz/group task/ presentations

After MST

--

10

CIA3

Attendance (75-79 = 1, 80-84 = 2, 85-89 = 3,

90-94 = 4, 95-100 = 5)

--

5

ESE

Centralized

3 Hrs (100 marks)

50

Total

100

 

CHE641A - CHEMISTRY VIA-INDUSTRIAL MATERIALS AND ENVIRONMENT (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

This course is intended to impart a deep knowledge in the fields of Industrial and Environmental Chemistry. The course emphasizes on the applications of various industrial chemicals. It gives an insight on the importance of preserving our natural resources and conserving our environment.

 

Learning Outcome

CO1: Explain the principles and concepts involved in the manufacture of industrial chemicals.

CO2: Predict the hazards involved in storage, handling and transportation of industrial chemicals.

CO3: Develops environment sensitivity and social responsibility to limit the pollution of water.

CO4: Discuss the significance of renewable energy sources and environmental protection.

Unit-1
Teaching Hours:4
Industrial safety and safe practices
 

Safety aspect related to transport, handling and storage flammable liquids and gases and toxic materials. Safety aspects at process development and design stage.

Unit-2
Teaching Hours:4
Industrial gases and inorganic Chemicals
 

Large scale production, uses, storage and hazards in handling the following gases: oxygen, nitrogen, hydrogen, acetylene.

Manufacture, application, analysis and hazards in handling the following chemicals: hydrochloric acid, nitric acid, sulphuric acid, caustic soda,

Unit-3
Teaching Hours:3
Processing of industrial materials
 

Chemical bonding and properties of materials: Mechanical, Electrical, Magnetic,  Optical, Thermal; Oxidation and degradation behavior of industrial materials.

Unit-4
Teaching Hours:3
Quality control in chemical industry
 

Quality Assurance: Elements of quality Assurance, Quality Management System Quality management concepts and principles: ISO 9001:2000 in chemical industries. TQM in Chemical Industry. Six Sigma Approach to Quality: Applying Six Sigma to chemical Industries. Accreditation of QC laboratories.

Unit-5
Teaching Hours:3
Ecologically safe products and processes
 

Mining and metal biotechnology: microbial transformation, accumulation and concentration of metals, metal leaching, extraction; exploitation of microbes in copper and uranium extraction,

Unit-6
Teaching Hours:3
Environmental policy and agreements
 

Environmental policy debate; International agreements; Montreal protocol 1987; Kyoto protocol 1997; Convention on Climate Change; carbon credit and carbon trading; clean development mechanism.

Unit-7
Teaching Hours:3
Chemical toxicology
 

Toxic chemicals in environment, ecological concept of toxicity, impact of toxic chemicals and biochemical effects of trace metals, pesticides, ozone and some other organic compounds (carcinogens)

Unit-8
Teaching Hours:4
Corrosion
 

Corrosion and its economic aspects, Intrinsic and extrinsic forms of corrosion. Corrosion Prevention Techniques: Metallic coatings, organic paints, varnishes, corrosion inhibitors, cathodic and anodic protection. Corrosion in industries with reference to thermal power plants, mining and petroleum industries, prevention of microbial corrosion.

Unit-9
Teaching Hours:5
Atmospheric Chemistry and Air pollution
 

Prelearning topics: Major regions of atmosphere. Composition of the atmosphere,  Various ecosystems. Energy flow and eco system stability, Bioelements, cycles of carbon, nitrogen and sulphur.

Chemical and photochemical reactions in the atmosphere. Air pollutants: classes, sources, particle size and chemical nature; Atmospheric turbidity. $ Pollution by SO2, CO2, CO, NOx, H2S and other foul smelling gases. $Methods of estimation of CO, NOx, SOx and control procedures.  Acid rain, Effects of air pollution on living organisms and vegetation. Urban heat intensity, Adiabatic lapse rate, temperature inversion. 

Unit-10
Teaching Hours:5
Water pollution
 

Prelearning topics: Hydrological cycle, water resources, aquatic ecosystems,

Sources and nature of water pollutants, Techniques for measuring water pollution. Water quality parameters for domestic water.

#Industrial effluents from the following industries and their treatment: electroplating, petroleum and petrochemicals, agro, fertilizer, food industry. #Industrial waste management, incineration of waste.

Unit-11
Teaching Hours:5
Energy and environment
 

Prelearning topics: Sources of energy: Coal, petrol and natural gas. Nuclear Fusion / Fission

Renewable energy sources: Solar, geothermal, tidal and hydel, biomass and biofuel. Photovoltaic cells and Hydrogen fuel cell,

Nuclear Pollution: Disposal of nuclear waste, nuclear disaster and its management.

Unit-12
Teaching Hours:3
Biocatalysis
 

Introduction to biocatalysis: Importance in *Green Chemistry and Chemical Industry.

Text Books And Reference Books:

[1] E. Stocchi: Industrial Chemistry, Vol-I, Ellis Horwood Ltd. UK (2008).

[2] A. K. De, Environmental Chemistry: New Age International Pvt., Ltd, New Delhi (2012).

Essential Reading / Recommended Reading

[1] R.M. Felder, R.W. Rousseau: Elementary Principles of Chemical Processes, Wiley Publishers, New Delhi (2008).

[2] J. A. Kent: Riegel’s Handbook of Industrial Chemistry, CBS Publishers, NewDelhi (2013)

[3] S. S. Dara: A Textbook of Engineering Chemistry, S. Chand & Company Ltd. New Delhi (2014).

[4] S. M. Khopkar, Environmental Pollution Analysis: Wiley Eastern Ltd, New Delhi (2013).

[5] S.E. Manhattan, Environmental Chemistry, CRC Press (2005).

[6]G.T. Miller, Environmental Science 11th edition. Brooks/ Cole (2006).

[7] A. Mishra, Environmental Studies. Selective and Scientific Books, New Delhi (2005).

 

Evaluation Pattern

 

No.

Component

Schedule

Duration

Marks

CIA1

Assignment/quiz/group task/ presentations

Before MST

--

10

 

CIA2

Mid-Sem Test

[MST]

2 Hrs (50 marks)

25

CIA3

Assignment/quiz/group task/ presentations

After MST

--

10

CIA3

Attendance (75-79 = 1, 80-84 = 2, 85-89 = 3,

90-94 = 4, 95-100 = 5)

--

5

ESE

Centralized

3 Hrs (100 marks)

50

Total

100

 

CHE641B - CHEMISTRY VIB-CHEMISTRY OF NATURAL PRODUCTS AND HETEROCYCLIC COMPOUNDS (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

This course deals with various topics of natural products chemistry and lays the foundation for the study of heterocyclic compounds.

Learning Outcome

CO1: Predict the structure of terpenoids, alkaloids, steroids, natural drugs, natural coloring agents and heterocyclic compounds.

CO2: Utilise the appropriate reactions in structural studies of terpenoids, alkaloids, steroids, natural drugs, natural coloring agents and heterocyclic compounds.

CO3: Discuss the chemistry and significance of natural products and heterocyclic compounds.

Unit-1
Teaching Hours:5
Terpenes
 

Section A: Natural Products Chemistry

Prelearning: Introduction and scope of natural products chemistry. Primary and secondary plant metabolites. Different classes of natural products.

 

Terpenes: Occurrence, classification, Isoprene rules, cyclization reactions, gem-dialkyl rule. Physico-chemical methods in structural studies (UV, IR, NMR, Mass). Structural elucidation and synthesis of citral, structures and uses of Menthol, Camphor, Limonene and beta-Carotene

Unit-2
Teaching Hours:6
Alkaloids
 

Occurrence, classification and isolation of alkaloids, General characteristics of alkaloids.  Structural elucidation of alkaloids; molecular formula, functional group analysis; nature of oxygen atom (alcoholic, hydroxyl, phenolic, methoxy, carboxylic group). Physico-chemical methods (UV, IR, NMR, Mass). Structure and synthesis of nicotine. Medicinal uses of Quinine, Morphine, Strychnine, Cocaine, Atropine, Reserpine and Nicotine. Colour reaction tests (Erdmann, Mayer, Hager reagents).

Unit-3
Teaching Hours:5
Naturally occurring Drugs
 

Drugs-chemotherapy- classification of drugs- Stimulants (caffeine, nicotine, cocaine)-Depressants (alcohol, heroin) – Hallucinogens (magic mushrooms, marijuana)- psychoactive substances (morning glory, mescaline) pain killers (ginger, turmeric, Capsaicin), antimalarials (quinine, artemisinin) anti-cancer (taxol, captothecin, vinblastine, vincristine), antidiabetic (Eugenia jambolana, green tea) immunostimulants (tinosporacordifolia), antibiotic (garlic).

 

Unit-4
Teaching Hours:5
Steroids
 

Occurrence. Nomenclature, basic skeleton, Diels hydrocarbon, Stereochemistry of steroids Sex hormones and corticosteroids. Structure of cholesterol and ergosterol (No synthesis). Conversion of cholesterol to progesterone and Testosterone. Liebermann-Burchard reaction.

Unit-5
Teaching Hours:5
Natural Pigments
 

Natural colouring matter, general classification, isolation of anthocyanins (cyanine), flavones (chryosin) and flavanol (Quercetin), Porphyrin; structure, spectral properties and applications (for all). Colour tests for anthocyanins, Flavones, Flavonols (colour with aq. NaOH, Conc.H2SO4 and Mg/HCl).

 

Unit-6
Teaching Hours:5
Introduction to heterocyclic chemistry
 

Section B: Heterocyclic compounds     

Prelearning: General introduction of heterocyclic compounds and their importance.

Introduction to heterocyclic chemistry: Introduction, classification, nomenclature (monocyclic and polycyclic), importance of heterocyclic compounds.

Unit-7
Teaching Hours:4
Non-aromatic heterocyclic compounds
 

Introduction to three and four membered heterocyclic compounds. Synthesis, properties and uses of Azirines, Aziridines, Oxiranes, Thiiranes, Azetidines, Oxetanes and Thietanes.

Unit-8
Teaching Hours:10
Aromatic heterocyclic compounds
 

5-membered heterocycles with two hetero atoms (pyrazole, imidazole, oxazole, thiazole): Structure, properties, synthesis (1 method each) and reactions.

Benzo-fused heterocycles: Structure, reactivity, synthesis (1 method each) and reactions of benzofuran, benzothiophene, benzoxazoles and benzimidazole, quinoline, isoquinoline and indolee.

Text Books And Reference Books:

[1] Ashutosh, K., Chemistry of natural products Vol. I, CBS Publications & Distributors

     1st Edition 2010.                                              

[2] Ashutosh, K., Chemistry of natural products Vol. II, CBS Publications & Distributors 1st Edition 2012.

[3] Bhat, S., Nagasampagi B., Sivakumar M., Chemistry of natural productsNarosa Publishing House New Delhi 2005.

[4] Ahluwalia, V. K. Heterocyclic Chemistry, Narosa Publishing House New Delhi, 2016.

Essential Reading / Recommended Reading

[1] Katritzky, A. R. Handbook of Heterocyclic Chemistry, 3rd addition, 2010.

[2] Agrawal, O. P. Chemistry of Natural products vol I & II, 41st addition, 2014.

Evaluation Pattern

No.

Component

Schedule

Duration

Marks

CIA1

Assignment/quiz/group task/ presentations

Before MST

--

10

 

CIA2

Mid-Sem Test

[MST]

2 Hrs (50 marks)

25

CIA3

Assignment/quiz/group task/ presentations

After MST

--

10

CIA3

Attendance (75-79 = 1, 80-84 = 2, 85-89 = 3,

90-94 = 4, 95-100 = 5)

--

5

ESE

Centralized

3 Hrs (100 marks)

50

Total

100

CHE651 - CHEMISTRY PRACTICALS VI-MOLECULES OF LIFE (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

This course introduces different biochemical techniques for the determination and analysis of various biomolecules like carbohydrates, amino acids etc.It also emphasizes the importance of organized and systematic approach in carrying out experiments.

Learning Outcome

CO1: Understand the action of salivary amylase of starch.

CO2: Analyze amino acids by paper chromatography.

CO3: Estimate absorbance of biomolecules by colorimetric method.

CO4: Determine iodine value and saponification value of oils.

Unit-1
Teaching Hours:30
Chemistry Practicals VI - Molecules of Life
 

1.Separation of amino acids by paper chromatography. 

2.To determine the concentration of glycine solution by formylation method.

3.Estimation of creatinine in urine by Jaffe’s method.

4.Estimation of inorganic phosphate in food samples by Fiske –Subbarow method. 

5.Estimation of total reducing sugars in honey by DNS (Dinitrosalicyclic acid) method.

6.Estimation of protein by biuret method and Lowry’s method.

7.Study of titration curve of glycine.

8.Determination of the concentration of glycine solution by formylation method.

9.Action of salivary amylase on starch.

10.Effect of temperature on the action of salivary amylase on starch.

11.To determine the saponification value of an oil/fat.

12.To determine the iodine value of an oil/fat.

13.Differentiate between a reducing/ non reducing sugar.

14.Extraction of DNA from onion/cauliflower.

 

Text Books And Reference Books:

[1] David T Plummer, An Introduction to Practical Biochemistry, 1st edition 1987, Tata McGraw-Hill publishing company reprint 2008.

[2] B.S. Furniss, A.J. Hannaford, V. Rogers, P.W.G. Smith and A.R.Tatchell, Vogel’s Textbook of Practical Organic Chemistry, 5th edition 1989 ELBS.

Essential Reading / Recommended Reading

[1] J. Jayaraman, Laboratory Manual in Biochemistry, Wiley Eastern Ltd., 2011.

[2] V. K. Ahluwalia and R. Aggarwal, Comprehensive Practical Organic Chemistry, 1st edition 2001, Universities Press.

Evaluation Pattern

 

No.

Component

Duration

Points

Marks

CIA1

Mid-Sem Test

3 Hrs

50

20

 

CIA2

Class work, PreLab Quiz, assignments

---

40

20

CIA3

Record book

-----

20

10

ESE

Centralized (two Examiners)              3 Hrs

 50

50

Total

25+25=50

 

CHE651A - CHEMISTRY PRACTICALS VIA-INDUSTRIAL MATERIALS AND ENVIRONMENT (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

This practicals course deals with analysis of fertilizers, ceramic and plastic materials, estimation of ores, alloys and cement

Learning Outcome

CO1: Estimate phosphoric acid in superphosphate fertilizer.

CO2: Analyze different types of alloys.

Unit-1
Teaching Hours:30
Practicals
 

 

 

  1. Estimation of phosphoric acid in superphosphate fertilizer.
  2. Electroless metallic coatings on ceramic and plastic material.
  3. Determination of composition of dolomite (by complexometric titration).
  4. Determination of composition of pyrolusite by titration.
  5. Analysis of (Cu, Ni); (Cu, Zn) in alloy or synthetic samples.
  6. Analysis of (Fe, Cr); solder in alloy or synthetic samples.
  7. Analysis of Cement/pyrolusite.
  8. Preparation of pigment (zinc oxide).
  9. Determination of dissolved oxygen in water.
  10. Alloy analysis

 

Text Books And Reference Books:

[1] E. Stocchi: Industrial Chemistry, Vol-I, Ellis Horwood Ltd. UK (2008).

 

[2] A. K. De, Environmental Chemistry: New Age International Pvt. Ltd, New Delhi (2012).

 

Essential Reading / Recommended Reading

[1] R.M. Felder, R.W. Rousseau: Elementary Principles of Chemical Processes, Wiley Publishers, New Delhi. J. A. Kent: Riegel’s Handbook of Industrial Chemistry, CBS Publishers, New Delhi (2008).

 

[2] S. S. Dara: A Textbook of Engineering Chemistry, S. Chand & Company Ltd. New Delhi (2014).

 

[3] S. M. Khopkar, Environmental Pollution Analysis: Wiley Eastern Ltd, New Delhi (2013).

 

 

 

Evaluation Pattern

 

 

 

 

 

No.

Component

Schedule

Duration

Marks

CIA1

Assignment/quiz/group task/ presentations

Before MST

--

10

 

CIA2

Mid-Sem Test

[MST]

2 Hrs (50 marks)

25

CIA3

Assignment/quiz/group task/ presentations

After MST

--

10

CIA3

Attendance (75-79 = 1, 80-84 = 2, 85-89 = 3, 

90-94 = 4, 95-100 = 5)

--

5

ESE

Centralized

3 Hrs (100 marks)

50

Total

100

 

 

 

CHE651B - CHEMISTRY PRACTICALS VIB-CHEMISTRY OF NATURAL PRODUCTS AND ORGANIC ANALYSIS (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

This course deals with the extraction and estimation of natural products chemistry and lays the foundation for the analysis of organic compounds. 

Learning Outcome

CO1: Explain the theory of extraction of Natural products.

CO2: Estimate Natural products and Nucleic acids by different methods.

Unit-1
Teaching Hours:30
Chemistry Practicals VIB - Natural Products and Organic Analysis
 

1.  Section A: Natural Products Chemistry#

 

1. Extraction of natural products by Soxhlet extraction method.

2. Standardization of green tea extract.

3. Isolation of alkaloids.

4. Isolation of natural products by column chromatography

5. Isolation of natural products by preparative TLC.

6. Isolation of Caffeine.

7. Estimation of Caffeine by titration method.

8. Estimation of beta carotene by spectroscopic method.

9. Estimation of polyphenols using Folin–Ciocalteu reagent)

10. Estimation of iron in mustard seed / maize.

11. Estimation of DNA using Diphenyl amine method.

12. Estimation of RNA by Orcinol method.

 

Section B: Organic compound analysis:

Determination of melting and boiling points.

Detection of extra elements (N, S, Cl, Br, I) in organic compounds (containing up to two extra elements).

Systematic Qualitative Organic Analysis of Organic Compounds possessing monofunctional groups (-COOH, phenolic, aldehydic, ketonic, amide, nitro, amines)

Preparation of one derivative.

Text Books And Reference Books:

[1] Siddiqui, A., Siddiqui, S. Natural Products Chemistry Practical Manual: For Science and Pharmacy Courses, CBS Publisher, 2008.

 

[2] Pavia, I. D. L., Lampman, G. M. and Kriz, G. S. Introduction to Organic Laboratory Techniques, W.B. Saunders Company, 1976.

 

Essential Reading / Recommended Reading

[1] Svehla, G. Vogel’s Qualitative Inorganic Analysis, Pearson Education, 2012

Evaluation Pattern

Examination pattern for Practical

 

No.

Component

Duration

Points

Marks

CIA1

Mid-Sem Test

3 Hrs

50

20

 

CIA2

Class work, PreLab Quiz, assignments

---

40

20

CIA3

Record book

-----

20

10

ESE

Centralized (two Examiners)              3 Hrs

 50

50

Total

25+25=50

       

CHE681 - DISSERTATION IN CHEMISTRY (2021 Batch)

Total Teaching Hours for Semester:105
No of Lecture Hours/Week:7
Max Marks:100
Credits:5

Course Objectives/Course Description

 

This project-based course is intended to provide the students an opportunity to choose and learn more about any topic based on their interest, from Chemistry. This will act as a springboard for pursuing research.  This will also enhance teamwork, planning, time management and effective use of resources.

Learning Outcome

CO1: Choose various topics on which they can conduct innovative experiments.

CO2: Demonstrate teamwork, time management and initiative.

Unit-1
Teaching Hours:105
Course Content
 

The basics of scientific writing, experimental design, project reporting and presentation.

Aims and means of assessing the feasibility of projects.

Techniques in data collection, collation and analysis.

Investigation and written report on an approved topic.

 

Evaluation parameters for the dissertation

Review of literature

Novelty of the research method 

Scientific quality

Results and discussion

Progress presentation 

 

Dissertation with poster followed by viva

Text Books And Reference Books:

National and International journals in chemistry

Essential Reading / Recommended Reading

National and International journals in chemistry

Evaluation Pattern

CIA 1:      continuous assessment and Proposal presentation               30   marks           

CIA 2:      continuous assessment and Progress presentation               30    marks         

CIA 3:      continuous assessment and Progress presentation               30    marks

Attendance:                                                                                       10     marks

 

ESE:

 

            Dissertation                                      20 marks

             Poster                                           5 marks

 

             Presentation followed by Viva      25 marks

MAT631 - COMPLEX ANALYSIS (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Course description: This course enables the students to understand the basic theory and principles of complex analysis.

COBJ1.     understand the theory and geometry of complex numbers.

COBJ2.     evaluate derivatives and integrals of functions of complex variables.

COBJ3.     examine the transformation of functions of complex variables.

COBJ4.   obtain the power series expansion of a complex valued function.

Learning Outcome

CO 1: understand the concepts of limit, continuity, differentiability of complex functions.

CO 2: evaluate the integrals of complex functions using Cauchy?s Integral Theorem/Formula and related results.

CO 3: examine various types of transformation of functions of complex variables.

CO 4: demonstrate the expansions of complex functions as Taylor, Power and Laurent Series, Classify singularities and poles.

CO 5: apply the concepts of complex analysis to analyze and address real world problems.

Unit-1
Teaching Hours:15
Analytic Functions
 

Properties of complex numbers, regions in the complex plane, functions of complex variable, limits, limits involving the point at infinity, continuity and differentiability of functions of complex variable. Analytic functions, necessary and sufficient conditions for a function to be analytic.

Unit-2
Teaching Hours:15
Complex Integration and Conformal Mapping
 

Definite integrals of functions, contour integrals and its examples, Cauchy’s integral theorem, Cauchy integral formula, Liouville’s theorem and the fundamental theorem of algebra, elementary transformations, conformal mappings, bilinear transformations.

Unit-3
Teaching Hours:15
Power Series and Singularities
 

Convergence of sequences and series, Taylor series and its examples, Laurent series and its examples, absolute and uniform convergence of power series, zeros and poles.

Text Books And Reference Books:

Dennis G. Zill and Patrick D. Shanahan, A first course in Complex Analysis with Applications, 2nd Ed, Jones & Barlett Publishers, 2011.

Essential Reading / Recommended Reading
  1. J. W. Brown and R. V. Churchill, Complex Variables and Applications, 8th ed., McGraw - Hill International Edition, 2009.
  2. J. Bak and D. J. Newman, Complex analysis, 2nd ed., Undergraduate Texts in Mathematics, Springer-Verlag New York, Inc., New York, 2000.
  3. A. Jeffrey, Complex Analysis and Applications, 2nd ed., CRC Press, Boca Raton 2013.
  4. L. V. Ahlfors, Complex Analysis, 3rd ed., McGraw-Hill Education, 2017.
  5. S. Ponnusamy, Foundations of Complex Analysis, 2nd ed., Narosa Publishing House, Reprint 2021.
Evaluation Pattern

 

Component

Mode of Assessment

Parameters

Points

CIA I

MCQ

Written Assignment

Reference work

Mastery of the core concepts

Problem solving skills

 

10

CIA II

Mid-semester Examination

Basic, conceptual and analytical knowledge of the subject

25

CIA III

Written Assignment

Project

Problem solving skills

 

10

Attendance

Attendance

Regularity and Punctuality

05

ESE

 

Basic, conceptual and analytical knowledge of the subject

50

Total

100

MAT641A - MECHANICS (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Course description: This course aims at introducing the basic concepts in statistics as well as dynamics of particles and rigid bodies; develop problem solving skills in mechanics through various applications.

Course objectives: This course will help the learner to

COBJ1. Gain familiarity with the concepts of force, triangular and parallelogram laws and conditions of equilibrium of forces.

COBJ2. Analyse and interpret the Lamis Lemma and the resultant of more than one force.

COBJ3. examine dynamical aspect of particles and rigid bodies.

COBJ4. illustrate the concepts of simple harmonic motion and projectiles

 

Learning Outcome

CO1: Compute resultant and direction of forces and examine the equilibrium of a force.

CO2: Apply Lamis's Theorem and Varignon's Theorem in solving problems.

CO3: Analyse the motion of a particle on a smooth surface.

CO4: Discuss the motion of a particles subjected to Simple Harmonic Motion and fundamental concepts Projectiles.

Unit-1
Teaching Hours:15
Forces acting on particle / rigid body
 

Introduction and general principles, force vectors, moments, couple-equilibrium of a particle - coplanar forces acting on a rigid body, problems of equilibrium under forces

Unit-2
Teaching Hours:20
Dynamics of a particle in 2D
 

Velocities and accelerations along radial and transverse directions and along tangential and normal directions; relation between angular and linear vectors, dynamics on smooth and rough plane curves.

Unit-3
Teaching Hours:10
Kinetics of particle and Projectile Motion
 

Simple harmonic motion, Newton’s laws of motion, projectiles. 

Text Books And Reference Books:
  1. A S Ramsey, Statics, CBS Publishers & Distributors, 2004.
  2. A.P. Roberts, Statics and Dynamics with Background in Mathematics, Cambridge University Press, 2003.
Essential Reading / Recommended Reading
  1. S. L. Loney, The elements of statics and dynamics-Part I Statics. 6th ed., Arihant Publications, 2004.
  2. S. L. Loney, The elements of statics and dynamics-Part II Dynamics.6th ed., Arihant Publications, 2004.
  3. P.K.Mittal, Mathematics for degree students, S Chand publications, 2016.
Evaluation Pattern

 

Component

Mode of Assessment

Parameters

Points

CIA I

MCQ

Written Assignment, Reference work

Mastery of the core concepts

Problem solving skills

10

CIA II

Mid-semester  Examination

Basic, conceptual and analytical knowledge of the subject

25

CIA III

Assignment

Project

Mastery of the core concepts

Problem solving skills

10

Attendance

Attendance

Regularity and Punctuality

05

ESE

 

Basic, conceptual and analytical knowledge of the subject

50

Total

100

MAT641B - NUMERICAL METHODS (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Course description: To explore the complex world problems physicists, engineers, financiers and mathematicians require certain methods. These practical problems can rarely be solved analytically. Their solutions can only be approximated through numerical methods. This course deals with the theory and application of numerical approximation techniques.

 

Course objectives: This course will help the learner

COBJ1. To learn about error analysis, solution of nonlinear equations, finite differences, interpolation, numerical integration and differentiation, numerical solution of differential equations, and matrix computation.

COBJ2. It also emphasis the development of numerical algorithms to provide solutions to common problems formulated in science and engineering.

Learning Outcome

CO1: Understand floating point numbers and the role of errors and its analysis in numerical methods.

CO2: Derive numerical methods for various mathematical operations and tasks, such as interpolation, differentiation, integration, the solution of linear and nonlinear equations, and the solution of differential equations.

CO3: Apply numerical methods to obtain approximate solutions to mathematical problems.

CO4: Understand the accuracy, consistency, stability and convergence of numerical methods

Unit-1
Teaching Hours:15
Error analysis, Nonlinear equations, and Solution of a system of linear Equations
 

Errors and their analysis, Floating point representation of numbers, solution of algebraic and Transcendental Equations: Bisection method, fixed point Iteration method, the method of False Position, Newton Raphson method and Mullers method. Solution of linear systems, matrix inversion method, Gauss elimination method, Gauss-Seidel and Gauss-Jacobi iterative methods, modification of the Gauss method to compute the inverse, LU decomposition method.

Unit-2
Teaching Hours:15
Finite Differences, Interpolation, and Numerical differentiation and Integration
 

Finite differences: Forward difference, backward difference and shift operators, separation of symbols, Newton’s formulae for interpolation, Lagrange’s interpolation formulae, numerical differentiation. Numerical integration: Trapezoidal rule, Simpson’s one-third rule and Simpson’s three-eighth rule.

Unit-3
Teaching Hours:15
Numerical Solution of Ordinary Differential Equations
 

Numerical solution of ordinary differential equations, Taylor’s series, Picard’s method, Euler’s method, modified Euler’s method, Runge Kutta methods, second order (with proof) and fourth order (without proof).

Text Books And Reference Books:
  1. C. F. Gerald and P. O. Wheatly, Applied Numerical Analysis, 7th ed., Wesley. 2007.
  2. M. K. Jain, Iyengar, S. R. K. and R. K. Jain, Numerical Methods for Scientific and Engineering Computation, New Age Pvt. Pub, New Delhi, 2012.
  3. R. L. Burden and J. D. Faires, Numerical analysis, Belmont, CA: Thomson Brooks/Cole, 2005.
Essential Reading / Recommended Reading
  1. E. V. Krishnamurthy and S. K. Sen, Applied Numerical Analysis, East West Publication, 1986.
  2. F. Scheid, Schaum's Outline of Numerical Analysis, 2nd ed., Mc.Graw Hill, 2006.
  3. A. Grégoire, Numerical analysis and optimization: an introduction to mathematical modelling and numerical simulation, Oxford: Oxford University Press, 2007.
  4. K. E. Atkinson and W. Han, Elementary numerical analysis. Hoboken, NJ: Wiley, 2004.
Evaluation Pattern

 

Component

Mode of Assessment

Parameters

Points

CIA I

MCQ

Written Assignment

Reference work

Mastery of the core concepts

Problem solving skills

 

10

CIA II

Mid-semester Examination

Basic, conceptual and analytical knowledge of the subject

25

CIA III

Assignment/problem solving

Problem solving skills

10

Attendance

Attendance

Regularity and Punctuality

05

ESE

 

Basic, conceptual and analytical knowledge of the subject

50

Total

100

MAT641C - DISCRETE MATHEMATICS (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Course description: It is a fundamental course in combinatorics involving set theory, permutations and combinations, generating functions, recurrence relations and lattices.

Course objectives: This course will help the learner to 

COBJ 1: Gain a familiarity with fundamental concepts of combinatorial mathematics.

COBJ 2: Understand the methods and problem solving techniques of discrete mathematics

COBJ 3: Apply knowledge to analyze and solve problems using models of discrete mathematics

Learning Outcome

CO1: Enhance research, inquiry, and analytical thinking abilities.

CO2: Apply the basics of combinatorics in analyzing problems.

CO3: Enhance problem-solving skills.

Unit-1
Teaching Hours:15
Combinatorics
 

Permutations and combinations, laws of set theory, Venn diagrams, relations and functions, Stirling numbers of the second kind, Pigeon hole principle.

Unit-2
Teaching Hours:15
Enumeration
 

Principle of inclusion and exclusion, generating functions, partitions of integers and recurrence relations.

Unit-3
Teaching Hours:15
Lattice Theory
 

Partially ordered set, lattices and their properties, duality principle, lattice homomorphisms, product lattices, modular and distributive lattices, Boolean lattices.

Text Books And Reference Books:
  1. Ralph P. Grimaldi, Discrete and Combinatorial Mathematics – An applied introduction, Pearson Addison Wesley, 5th Edition, 2004.
  2. Rosen, Kenneth. Discrete Mathematics and Its Applications. United Kingdom, McGraw-Hill Education, 2006.
  3. Jongsma Calvin, Discrete Mathematics: Chapter 0, Table of Contents and Preface, Faculty Work: Comprehensive List. Paper 426, 2016.
Essential Reading / Recommended Reading
  1. R. A. Brualdi, Introductory Combinatorics, 5th ed., China Machine Press, 2009.
  2. E. A. Bender and S. G. Williamson, Foundations of combinatorics with applications, Dover Publ., 2007.
  3. J. P. Tremblay and R. Manohar, Discrete Mathematical Structures with Applications to Computer Science, 1st ed., McGraw Hill Education, 2017.
Evaluation Pattern

 

Component

Mode of Assessment

Parameters

Points

CIA I

Test

Written Assignment

Mastery of the core concepts

Problem solving skills

 

10

CIA II

Mid-semester Examination

Basic, conceptual and analytical knowledge of the subject

25

CIA III

Written Assignment, Test

Problem solving skills

10

Attendance

Attendance

Regularity and Punctuality

05

ESE

 

Basic, conceptual and analytical knowledge of the subject

50

Total

100

MAT641D - NUMBER THEORY (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Course Description: This course is an introduction to elementary topics of analytical number theory. Topics such as divisibility, congruences and number-theoretic functions are discussed in this course. Some of the applications of these concepts are also included.

Course Objectives: This course will help the learner to

COBJ 1: Engage in sound mathematical thinking and reasoning.

COBJ 2: Analyze, evaluate, or solve problems for given data or information.

COBJ 3: Understand and utilize mathematical functions and empirical principles and processes.

COBJ 4: Develop critical thinking skills, communication skills, and empirical and quantitative skills.

Learning Outcome

CO1: effectively express the concepts and results of number theory.

CO2: understand the logic and methods behind the proofs in number theory.

CO3: solve challenging problems in number theory.

CO4: present specific topics and prove various ideas with mathematical rigour.

Unit-1
Teaching Hours:15
Divisibility
 

The division algorithm, the greatest common divisor, the Euclidean algorithm, the linear Diophantine equation, the fundamental theorem of arithmetic, distribution of primes.

Unit-2
Teaching Hours:15
Linear Congruence
 

Basic properties of congruences, systems of residues, number conversions, linear congruences and Chinese remainder theorem, a system of linear congruences in two variables, Fermat’s Little Theorem and pseudoprimes, Wilson’s Theorem.

Unit-3
Teaching Hours:15
Number Theoretic Functions
 

The Greatest Integer Function, Euler’s Phi-Function, Euler’s theorem, Some Properties of Phi-function. Applications of Number Theory: Hashing functions, pseudorandom Numbers, check bits, cryptography.

 

Text Books And Reference Books:
  1. D. M. Burton, Elementary Number Theory, 7th ed., New Delhi: Tata McGraw-Hill, 2012.
  2. S. Kundu and S. Mazumder, Number Theory and Its Applications, Bocca Raton: CRC Press, 2022.
Essential Reading / Recommended Reading
  1. K. H. Rosen, Elementary Number Theory, 6th ed., New Delhi: Pearson Education India, 2015.
  2. G. Effinger and G. L. Mullen, Elementary Number Theory, Bocca Raton: CRC Press, 2021.
  3. J. Pommersheim, T. K. Marks and E. L. Flapan, Number Theory, New Jersey: John Wiley & Sons, 2009.
  4. J. H. Silverman, A friendly introduction to number theory, London: Pearson Prentice Hall, 2006.
  5. Niven, H.S. Zuckerman and H.L. Montgomery, An introduction to the theory of numbers, 5th ed., New Jersey: John Wiley & Sons, Inc., 2012.
Evaluation Pattern

 

Component

Mode of Assessment

Parameters

Points

CIA I

MCQ

Written Assignment

Reference work  

Mastery of the core concepts  

Problem solving skills

13

CIA II

Mid-semester Examination

Basic, conceptual and analytical knowledge of the subject

05

CIA III

Written Assignment / Project

Written assignment based on Binary and Decimal representation of integers.

05

Attendance

Attendance

Regularity and Punctuality

   02

ESE

 

Basic, conceptual and analytical knowledge of the subject

25

Total

50

MAT641E - FINANCIAL MATHEMATICS (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

Course Description:Financial Mathematics deals with the solving of financial problems by using Mathematical methods. This course aims at introducing the basic ideas of deterministic mathematics of finance. The course focuses on imparting sound knowledge on elementary notions like simple interest, complex interest (annual and non-annual), annuities (varying and non-varying), loans and bonds.

Course objectives: This course will help the learner to

COBJ 1: gain familiarity in solving problems on Interest rates and Level Annuitiesd

COBJ 2: derive formulae for different types of varying annuities and solve its associated problems

COBJ 3: gain in depth knowledge on Loans and Bonds and hence create schedules for Loan Repayment and Bond Amortization Schedules.

Learning Outcome

CO1: On successful completion of the course, the students should be able to deal with the elementary notions like simple interest, compound interest and Annuities.

CO2: On successful completion of the course, the students should be able to solve simple problems on interest rates, annuities, varying annuities, non-annual interest rates, loans and bonds.

CO3: On successful completion of the course, the students should be able to apply the formulae appropriately in solving problems that mimics real life scenario.

Unit-1
Teaching Hours:15
Interest Rates, Factors and Level Annuities
 

Interest Rates, Rate of discount, Nominal rates of interest and discount, Constant force of interest, Force of interest, Inflation, Equations of Value and Yield Rates, Annuity-Immediate, Annuity-Due, Perpetuities, Deferred Annuities and values on any date, Outstanding Loan Balances (OLB)

Unit-2
Teaching Hours:15
Varying Annuities
 

Non-level Annuities, Annuities with payments in Geometric Progression, Annuities with payment in Arithmetic Progression, Annuity symbols for non-integral terms, Annuities with payments less/more frequent than each interest period and payments in Arithmetic Progression, Continuously Payable Annuities.

Unit-3
Teaching Hours:15
Loans Repayment and Bonds
 

Amortized loans and Amortization Schedules, The sinking fund method, Loans with other repayment patterns, Yield rate examples and other repayment patterns, Bond symbols and basic price formula, Other pricing formula for bonds, Bond Amortization Schedules, Valuing a bond after its date of issue.

Text Books And Reference Books:

 L. J. F. Vaaler and J. W. Daniel, Mathematical interest theory. Mathematical Association of America, 2009.

Essential Reading / Recommended Reading
  1. S. J. Garrett and J. J. McCutcheon, An introduction to the mathematics of finance: a deterministic approach, 2nd ed., Amsterdam: Elsevier/Butterworth-Heinemann, 2013.
  2. A. Černý, Mathematical techniques in finance: tools for incomplete markets. 2nd ed., NJ: Princeton University Press, 2009.
  3. C. Ruckman and J. Francis, Financial mathematics: a practical guide for actuaries and other business professionals. 2nd ed., Weatogue, CT: BPP Professional Education, 2005.
Evaluation Pattern

 

Component

Mode of Assessment

Parameters

Points

CIA I

MCQ

Written Assignment

Reference work

Mastery of the core concepts  

Problem solving skills

10

CIA II

Mid-semester Examination

Basic, conceptual and analytical knowledge of the subject

25

CIA III

Assignment

Problem solving skills

10

Attendance

Attendance

Regularity and Punctuality

05

ESE

 

Basic, conceptual and analytical knowledge of the subject

50

Total

100

MAT651 - COMPLEX ANALYSIS USING PYTHON (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Course Description: This course will enable students to have hands on experience in constructing analytic functions, verifying harmonic functions, illustrating Cauchy’s integral theorem and bilinear transformations and in illustrating different types of sequences and series using Python.

Course Objectives: This course will help the learner to

COBJ 1:Python language using jupyter interface

COBJ 2:Solving basic arithmetic problems using cmath built-in commands

COBJ 3:Solving problems using cmath.

Learning Outcome

CO 1: acquire proficiency in using Python and cmath functions for processing complex numbers.

CO 2: skilful in using Python modules to implement Milne-Thompson method.

CO 3: expertise in illustrating harmonic functions and demonstrating Cauchy?s integral theorem Representation of conformal mappings using Matplotlib.

Unit-1
Teaching Hours:30
Proposed Topics:
 
  1. Cmath functions for complex numbers
  2. Graphical Illustration of the limit of a complex sequence
  3. Verifying C-R equations
  4. Harmonic functions and harmonic conjugates
  5. Implementation of Milne-Thomson method of constructing analytic functions
  6. Examples connected with Cauchy’s integral theorem
  7. llustration of conformal mapping
  8. Linear and bilinear transformations
  9. Convergence/divergence of complex series
  10. Applications of complex analysis in various fields
Text Books And Reference Books:

H P Langtangen, A Primer on Scientific Programming with Python, 2nd ed., Springer, 2016.

Essential Reading / Recommended Reading
  1. B E Shapiro, Scientific Computation: Python Hacking for Math Junkies, Sherwood Forest Books, 2015.
  2. C Hill, Learning Scientific Programming with Python, Cambridge Univesity Press, 2016.
  3. A. Saha, Doing Math with Python: Use Programming to Explore Algebra, Statistics, Calculus, and More!, no starch press:San Fransisco, 2015.
Evaluation Pattern

The course is evaluated based on continuous internal assessments (CIA) and the lab e-record. The parameters for evaluation under each component and the mode of assessment are given below.

Component

Parameter

Mode of  Assessment

Maximum

Points

CIA I

Mastery of the  concepts

Lab Assignments

20

CIA II

Conceptual clarity and analytical skills

Lab Exam - I

10

Lab Record

Systematic documentation of the lab sessions.

e-Record work

07

Attendance

Regularity and Punctuality

Lab attendance

03

95-100% : 3

90-94%   : 2

85-89%   : 1

CIA III

Proficiency in executing the commands appropriately,.

Lab Exam - II

10

Total

50

MAT651A - MECHANICS USING PYTHON (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Course Description: This course aims at enabling the students to explore and study the statics and dynamics of particles in a detailed manner using Python. This course is designed with a learner-centric approach wherein the students will acquire mastery in understanding mechanics using Python.

Course objectives: This course will help the learner to

COBJ 1: Acquire skill in usage of suitable functions/packages of Python.

COBJ 2: Gain proficiency in using Python to solve problems on Mechanics.   

Learning Outcome

CO1: Acquire proficiency in using different functions of Python to study Differential Calculus. Mechanics.

CO2: Demonstrate the use of Python to understand and interpret the dynamical aspects of Python.

CO3: Use Python to evaluate the resultant of forces and check for equilibrium state of the forces.

CO4: Be familiar with the built-in functions to find moment and couple.

Unit-1
Teaching Hours:30
Proposed Topics
 
  1. Introduction to Python: Some useful shortcuts; variables; input/output; relational operators, logical operators; conditional statements; lists and matrices\
  2. Resultant of a number of forces: Resultant of two forces in the same plane, resultant of any number of forces, resultant of any number of forces
  3. Components of a given force: Components of a force in horizontal and vertical directions, components of a force in any two given directions
  4. Resultant force of parallel forces: Resultant force of two parallel like forces, resultant force of two parallel alike forces
  5. Moments and torques: Moment from magnitude and perpendicular distance, equilibrium of two moments
  6. Projectiles
  7. Simple harmonic motion
Text Books And Reference Books:
  1. B. E. Shapiro, Scientific Computation: Python Hacking for Math Junkies, Sherwood Forest Books, 2015.
  2. Anders Malthe-Sørenssen, Elementary Mechanics Using Python: A Modern Course Combining Analytical and Numerical Techniques (Undergraduate Lecture Notes in Physics) 2015.
  3. C. Hill, Learning Scientific Programming with Python, Cambridge University Press, 2016.
Essential Reading / Recommended Reading

A. Saha, Doing Math with Python: Use Programming to Explore Algebra, Statistics, Calculus, and More!, no starch press: San Fransisco, 2015.

Evaluation Pattern

The course is evaluated based on continuous internal assessments (CIA) and the lab e-record. The parameters for evaluation under each component and the mode of assessment are given below.

Component

Parameter

Mode of  Assessment

Maximum

Points

CIA I

Mastery of the  concepts

Lab Assignments

20

CIA II

Conceptual clarity and analytical skills

Lab Exam - I

10

Lab Record

Systematic documentation of the lab sessions.

e-Record work

07

Attendance

Regularity and Punctuality

Lab attendance

03

95-100% : 3

90-94%   : 2

85-89%   : 1

CIA III

Proficiency in executing the commands appropriately,.

Lab Exam - II

10

Total

50

MAT651B - NUMERICAL METHODS USING PYTHON (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Course Description: This course will help the students to have an in depth knowledge of various numerical methods required in scientific and technological applications. Students will gain hands on experience in using Python for illustrating various numerical techniques.

Course Objectives: This course will help the learner to

COBJ 1: Develop the basic understanding of numerical algorithms and skills to implement algorithms to solve mathematical problems using Python.

COBJ 2: To develop the basic understanding of the applicability and limitations of the techniques.

Learning Outcome

CO1: Implement a numerical solution method in a well-designed, well-documented Python program code.

CO2: Interpret the numerical solutions that were obtained in regard to their accuracy and suitability for applications

CO3: Present and interpret numerical results in an informative way.

Unit-1
Teaching Hours:30
Proposed topics
 
  1. Some basic operations in Python for scientific computing                          
  2. Solution of Algebraic and Transcendental Equations  
    • Bisection method
    • Fixed point Iteration method
    • The method of False Position
    • Newton-Raphson method
  3. Solution of linear systems
    • Gauss Elimination method
    • Gauss-Seidel Iterative method
    • Gauss-Jacobi Iterative method
    • LU Decomposition method
  4. Numerical Differentiation and Integration
  5. Solution of Differential Equations
    • Euler’s method
    • Runge Kutta method
Text Books And Reference Books:

J. Kiusalaas, Numerical methods in engineering with Python 3, Cambridge University press, 2013.

Essential Reading / Recommended Reading

H. Fangohr, Introduction to Python for Computational Science and Engineering (A beginner’s guide), University of Southampton, 2015.

Evaluation Pattern

The course is evaluated based on continuous internal assessments (CIA) and the lab e-record. The parameters for evaluation under each component and the mode of assessment are given below.

Component

Parameter

Mode of  Assessment

Maximum

Points

CIA I

Mastery of the  concepts

Lab Assignments

20

CIA II

Conceptual clarity and analytical skills

Lab Exam - I

10

Lab Record

Systematic documentation of the lab sessions.

e-Record work

07

Attendance

Regularity and Punctuality

Lab attendance

03

95-100% : 3

90-94%   : 2

85-89%   : 1

CIA III

Proficiency in executing the commands appropriately,.

Lab Exam - II

10

Total

50

MAT651C - DISCRETE MATHEMATICS USING PYTHON (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Course description: This course aims at providing hands on experience in using Python functions to illustrate the notions of combinatorics, set theory and relations.

Course objectives: This course will help the learner to

COBJ1. Gain a familiarity with programs on fundamental concepts of Combinatorial Mathematics

COBJ2. Understand and apply knowledge to solve combinatorial problems using Python

Learning Outcome

CO1: Attain sufficient skills in using Python functions

CO2: Demonstrate programming skills in solving problems related to applications of computational mathematics.

Unit-1
Teaching Hours:30
Proposed Topics
 
  1. Permutations
  2. Combinations
  3. Set construction and set operations
  4. Using Venn diagrams to visualize relationships between sets
  5. Recurrence relations
  6. Partially ordered sets
Text Books And Reference Books:
  1. Amit Saha, Doing Math with Python: Use Programming to Explore Algebra, Statistics, Calculus, and More!, no starch press:San Fransisco, 2015.
  2. H P Langtangen, A Primer on Scientific Programming with Python, 2nd ed., Springer, 2016.
Essential Reading / Recommended Reading
  1. B E Shapiro, Scientific Computation: Python Hacking for Math Junkies, Sherwood Forest Books, 2015.
  2. C Hill, Learning Scientific Programming with Python, Cambridge University Press, 2016.
Evaluation Pattern

The course is evaluated based on continuous internal assessments (CIA) and the lab e-record. The parameters for evaluation under each component and the mode of assessment are given below.

Component

Parameter

Mode of  Assessment

Maximum

Points

CIA I

Mastery of the  concepts

Lab Assignments

20

CIA II

Conceptual clarity and analytical skills

Lab Exam - I

10

Lab Record

Systematic documentation of the lab sessions.

e-Record work

07

Attendance

Regularity and Punctuality

Lab attendance

03

95-100% : 3

90-94%   : 2

85-89%   : 1

CIA III

Proficiency in executing the commands appropriately,.

Lab Exam - II

10

Total

50

MAT651D - NUMBER THEORY USING PYTHON (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Course Description: This course will help the students to gain hands-on experience in using Python for illustrating various number theory concepts such as the divisibility, distribution of primes, number conversions, congruences and applications of number theory.

Course Objectives: This course will help the learner to

COBJ 1: Be familiar with the built- in functions required to deal with number theoretic concepts and operations.

COBJ 2: Develop programming skills to solve various number theoretic concepts.

COBJ 3: Gain proficiency in symbolic computation using python.

Learning Outcome

CO1: to solve problems in number theory, number conversions.

CO2: to demonstrate the understanding of number theory concepts.

CO3: to model and solve practical problems using number theoretic concepts.

Unit-1
Teaching Hours:30
Proposed Topics:
 
  1. Introduction to packages and libraries in Python.
  2. Division algorithm.
  3. Hexadecimal, octal and binary representation of the integers.
  4. Euclid algorithm.
  5. Prime factorisation of integers.
  6. Solution of a system of linear congruences.
  7. Number theoretic functions τ, σ and φ.
  8. Hashing functions, pseudorandom numbers.
  9. Parity check bits
  10. Cryptography
Text Books And Reference Books:

J.C. Bautista, Mathematics with Python Programming, Lulu.com, 2014.

Essential Reading / Recommended Reading

M. Litvin and G. Litvin, Mathematics for the Digital Age and Programming in Python, Skylight Publishing, 2010.

Evaluation Pattern

The course is evaluated based on continuous internal assessments (CIA) and the lab e-record. The parameters for evaluation under each component and the mode of assessment are given below.

Component

Parameter

Mode of  Assessment

Maximum

Points

CIA I

Mastery of the  concepts

Lab Assignments

20

CIA II

Conceptual clarity and analytical skills

Lab Exam - I

10

Lab Record

Systematic documentation of the lab sessions.

e-Record work

07

Attendance

Regularity and Punctuality

Lab attendance

03

95-100% : 3

90-94%   : 2

85-89%   : 1

CIA III

Proficiency in executing the commands appropriately,.

Lab Exam - II

10

Total

50

MAT651E - FINANCIAL MATHEMATICS USING EXCEL AND PYTHON (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Course Description: The course aims at providing hands on experience in using Excel/Python programming to illustrate the computation of constant/varying force of interest, continuously payable varying/non-varying annuities, increasing/decreasing annuity immediate/due, loans and bonds.

Course objectives: This course will help the learner to

COBJ 1: acquire skill in solving problems on Financial Mathematics using Python.

COBJ 2: gain proficiency in using the Python programming skills to solve problems on Financial Mathematics.

Learning Outcome

CO1: demonstrate sufficient skills in using Python programming language for solving problems on Financial Mathematics.

CO2: apply the notions on various types of interests, annuities, loans and bonds, by solving problems using Python.

Unit-1
Teaching Hours:30
Proposed Topics
 
  1. Force of interest
  2. Level Annuities
  3. Outstanding Loan balances
  4. Annuities with payments in Geometric Progression
  5. Annuities with payments in Arithmetic Progression
  6. Continuously Payable annuities
  7. Amortization Loans and Amortization Schedules
  8. Bond Amortization Schedules
Text Books And Reference Books:
  1. Y. Yan, Python for finance: financial modeling and quantitative analysis explained.  2nd ed., Packt Publishing, 2017. 
  2. A. L. Day, Mastering Financial Mathematics in Microsoft Excel - A practical guide for business calculations, 3rd ed., Pearson Education Limited, 2015.
Essential Reading / Recommended Reading
  1. L. J. F. Vaaler and J. W. Daniel, Mathematical interest theory. 2nd ed., Mathematical Association of America, 2009.
  2. J. M. Weiming, Mastering python for finance understand, design, and implement state of-the-art mathematical and statistical applications used in finance with Python. Packt Publishing, 2015. 
  3. M. Humber, Personal finance with Python: using pandas, requests, and recurrent.  1st ed., Apress, 2018. 
  4. S. Fletcher and C. Gardner, Financial modeling in Python. Wiley, 2009.
  5. S. D. Promislow, Fundamentals of Acturaial Mathematics, 3rd ed., John Wiley and Sons Limited, 2015.
Evaluation Pattern

The course is evaluated based on continuous internal assessments (CIA) and the lab e-record. The parameters for evaluation under each component and the mode of assessment are given below.

Component

Parameter

Mode of  Assessment

Maximum

Points

CIA I

Mastery of the  concepts

Lab Assignments

20

CIA II

Conceptual clarity and analytical skills

Lab Exam - I

10

Lab Record

Systematic documentation of the lab sessions.

e-Record work

07

Attendance

Regularity and Punctuality

Lab attendance

03

95-100% : 3

90-94%   : 2

85-89%   : 1

CIA III

Proficiency in executing the commands appropriately,.

Lab Exam - II

10

Total

50

MAT681 - PROJECT ON MATHEMATICAL MODELS (2021 Batch)

Total Teaching Hours for Semester:75
No of Lecture Hours/Week:5
Max Marks:150
Credits:5

Course Objectives/Course Description

 

Course description: The course aims at providing hands on experience in analyzing practical problems by formulating the corresponding mathematical models.

Course objectives: This course will help the learner to

 COBJ1. Develop positive attitude, knowledge and competence for research in Mathematics

Learning Outcome

CO1: Demonstrate analytical skills.

CO2: Apply computational skills in Mathematics

Unit-1
Teaching Hours:75
PROJECT
 

Students are given a choice of topics in Mathematical modelling at the undergraduate level with the approval of HOD. Each candidate will work under the supervision of the faculty.  Project Coordinator will allot the supervisor for each candidate in consultation with the HOD at the end of the fifth  semester.

Project need not be based on original research work. Project could be based on the review of research papers that are at the undergraduate level.

Each candidate has to submit a dissertation on the project topic followed by viva voce examination. The viva voce will be conducted by the committee constituted by the head of the department which will have an external and an internal examiner. The student must secure 50% of the marks to pass the examination.  The candidates who fail must redo the project as per the university regulations.

Proposed Topics for Project: 

  1. Mathematical Modeling using Graphs/Networks
  2. Mathematical Modeling using Optimization Techniques
  3. Mathematical Modeling using Linear Algebra
  4. Mathematical Modeling using Differential Equations
  5. Mathematical Modeling using Calculus of Several Variables. (Proficiency in solving PDE may be required)
  6. Developing a new Mathematics library for FOSS tools
Text Books And Reference Books:

As per the field of reserach.

Essential Reading / Recommended Reading

As per the field of reserach.

Evaluation Pattern

 

Component Maximum Marks
Proposal Presentation 10
Progress Report / Presentation-I 20
Progress Report / Presentation-II 20
Final Viva Voce examination 50
Final Project Report 40
Research Publication 10
Total 150

PHY631 - MODERN PHYSICS - II (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

This course is envisaged to provide a strong foundation of basics of modern physics.  Molecular physics, Lasers, solids, superconductivity and nuclear physics.

Learning Outcome

CO1: Develop a fundamental understanding of molecular spectroscopy vis-à-vis infrared and Raman spectroscopy.

CO2: Acquire a basic understanding about the working of LASER.

CO3: Get familiarized with the free electron theory and its application in solids.

CO4: Gain a brief overview about the nuclear structure and learn the working principles of nuclear detectors and accelerators.

Unit-1
Teaching Hours:15
Molecular physics
 

Molecular spectra: Types of motions in a molecule - electronic, vibration, rotation; general features of band spectra (compared to atomic spectra), molecular energy distributions in spectrum, energy states and spectra of molecules; the diatomic molecule as a rigid rotator, non rigid rotator, the rotational energy levels and their spectrum. Information about the moment of inertia and inter nuclear distances from the pure rotational spectrum.

Raman effect: The Rayleigh’s Scattering, the Raman Scattering. Quantum theory of Raman effect and Raman spectrum-Stokes and anti-Stokes lines. Applications of Raman effect:Complementary character of  Raman and IR spectra.              

Lasers: spontaneous emission, stimulated emission and stimulated absorption, conditions for laser action-coherence, population inversion, types of lasers: Gas lasers (He-Ne), semiconductor lasers,applications of Lasers.     

Unit-2
Teaching Hours:15
Condensed matter Physics
 

Free-Electron Theory of Metals:   Introduction - Drude and Lorentz classical theory, ­ expressions for electrical conductivity- Ohm's law, thermal conductivity - Wiedmann-Franz law - density of states for free electrons - Fermi-Dirac distribution function and Fermi energy – expression for Fermi energy and kinetic energy at absolute zero and above absolute zero.

Band Theory of Solids:  Introduction, formation of energy bands, distinction between metals, insulators and semiconductors; semiconductors - intrinsic semiconductors - concept of holes- concept of effective mass - derivation of expression for carrier concentration (for electrons and holes) and electrical conductivity ­- extrinsic semiconductors-impurity states - energy band diagram and the Fermi level - Hall effect in metals and semiconductors, Photoconductivity, Solar cells.                        

Superconductivity:  Introduction, experimental facts - zero resistivity -  critical field - critical current density- persistent currents -­ Meissner effect, type I and type II superconductors, Cooper pairs - BCS Theory (basic ideas).

Unit-3
Teaching Hours:15
Nuclear Physics
 

Structure and properties of Nuclei: Radius,Nuclear charge - Rutherford’s theory of alpha particle scattering - derivation of Rutherford’s scattering formula - Nuclear mass: Bainbridge mass spectrograph.                                  

Alpha decay: Range and disintegration energy of alpha particles, Range, ionization, specific ionization and Geiger–Nuttal law -brief description of characteristics of alpha ray spectrum - Gamow’s theory of alpha decay.                

Beta decay: types of beta decay (electron, positron decay and electron capture) - Characteristics of beta spectrum - Pauli’s neutrino hypothesis                            

Nuclear reactions: Q-value and Types of nuclear reactions.                                      

Detectors and Accelerators: GM counter, Scintillation counter, linear accelerators, Cyclotron – principle and working.                     

Text Books And Reference Books:

1. Modern Physics, R.Murugesan, S. Chand and Company, New Delhi, 1996.

2. Solid State Physics, S O Pillai, New Age International (P) Ltd., New Delhi, 2009.

3. Concepts of Modern Physics, Beiser ,III Edition, student edition, New Delhi, 1981.

Essential Reading / Recommended Reading

1. Introduction to Modern Physics,R.B. Singh, New Age International,New Delhi, 2002.

2.  The Feynmann, Lectures on physics, Narosa Publishing House, New Delhi, 2008.

3. Modern Physics, Sehgal Chopra Sehgal, S. Chand & sons, New Delhi, 1998.     

4.  Elements of Modern Physics,S.H. Patil ,TMH publishing, New Delhi, 1984.

5.  Modern Physics Part I and 2, S.N. Ghosal,  S.Chand and Company, New Delhi 1996

Evaluation Pattern

CIA I Assignment - 10 Marks

CIA II - Mid sem - 25 Marks

CIA III - 10 Marks

Attendance/Punctuality: 05

ESE: 50 Marks

Evaluation will be based on tests, short assignments and presentations.

PHY641A - SOLID STATE PHYSICS (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:03

Course Objectives/Course Description

 

This course is intended to make the students understand the basic concepts of solid-state physics such as geometry of crystalline state, production of X-rays and diffraction from solids.  It enables the students to explore the fundamental concepts of lattice dynamics and the various physical properties of solids. 

Learning Outcome

CO1: Understand the structures of different crystals

CO2: Correlate the X-ray diffraction patterns with the crystal structures

CO3: Apply the magnetic, dielectric and ferroelectric properties of solids for practical applications.

Unit-1
Teaching Hours:16
Crystal structure of solids
 

Crystal structure: Amorphous and crystalline materials, lattice, basis and crystal structure, lattice translation vectors, unit cell, primitive and non-primitive cells; Bravais lattices- two dimensional and three dimensional lattice types, seven crystal systems; atoms per unit cell, co-ordination number, atomic radius and packing fraction (simple cubic, fcc and bcc), types of close packed structures (sodium chloride and hexagonal zinc sulphide structures); symmetry operations and symmetry elements (translation, rotation, inversion and mirror operations); lattice planes, Miller indices, spacing between lattice planes of cubic crystals; reciprocal lattice: Concept, geometrical construction, vector algebraic discussion, reciprocal lattice vector and properties, Brillouin zones.           

Crystal bonding: cohesive energy, types of bonding-ionic bond, covalent bond and metallic bond, properties and applications.   

Unit-2
Teaching Hours:12
Crystal diffraction and lattice dynamics
 

Crystal diffraction: X-rays- Production of X-rays, continuous and characteristic X-rays. Mosley's law; scattering of X-rays, diffraction of X-rays by crystals- Bragg’s law, powder diffraction method, Laue and rotating crystal methods, atomic and structure factor, systematic absences due to lattice types, determination of crystal structure and applications.           

Lattice dynamics: Introduction, elastic waves, lattice vibrations and phonons, dynamics of linear monoatomic lattice, symmetry in k-space, number of modes in one dimensional lattice, dynamics of diatomic lattice, acoustical and optical phonons, density of states for a three dimensional solid.                

Unit-3
Teaching Hours:17
Properties of solids
 

Specific heat of solids: Dulong and Petit’s law, Einstein’s and Debye’s theories of specific heat of solids, T3 law.

Magnetic properties of matter: Classification of magnetic materials–dia-, para-, ferro- and ferri-magnetic materials, classical Langevin’s theory of diamagnetism and paramagnetism, Curie’s law, Weiss’s theory of ferromagnetism and ferromagnetic domains, discussion of BH curve, hysteresis and energy loss.

Dielectric properties of matter: Dipole moment and polarization, electric field of a dipole, local electric field at an atom, dielectric constant and its measurement, polarizability, Clausius-Mossotti equation, electronic polarizability, classical theory of electronic polarizability, dipolar polarizability, applications.       

Ferroelectric Properties of Materials:Structural phase transition, Classification of crystals, Piezoelectric effect, Pyroelectric effect, Ferroelectric effect, Electrostrictive effect, Curie-Weiss Law, Ferroelectric domains, PE hysteresis loop.

Text Books And Reference Books:

[1]. Kittel, C. (1996). Introduction to solid state physics, New York: Wiley.

[2]. Wahab, M. A. (2011). Solid state physics, New Delhi: Narosa Publications.

[3]. Ali Omar, M. (1999). Elementary solid-state physics, New Delhi: Addison-Wesley Publishing Company.

[4]. Srivastava, J. P. (2006). Elements of solid-state physics (2nd ed.). New Delhi: Prentice Hall of India, Pvt Ltd.

Essential Reading / Recommended Reading

[5]. Azaroff, L. V. (2004). Introduction to solids, New Delhi: Tata Mc-Graw Hill.

[6]. Ashcroft, N. W. & Mermin, N. D. (2014). Solid state physics, New Delhi: Cengage Learning India Pvt Ltd. 

[7]. Ibach, H., & Luth, H. (2009). Solid state physics, Berlin Heidelberg: Springer-Verlag.

Evaluation Pattern

 

 

 

No.

Component

Schedule

Duration

Marks

CIA 1

Assignment/test/group task/presentation

Before MSE

 

--

10

CIA 2

Mid Semester Examination (MSE) Centralised

MSE

 2 hours

(50 marks)

25

CIA 3

Assignment/test/group task/presentation

After MSE

--

10

Attendance

75 – 79: 1 mark, 80 – 84: 2 marks, 85 – 89: 3 marks, 90 – 94: 4

marks, 95 – 100: 5 marks

05

ESE

Centralised

3 hours

(100 marks)

50

 

Total

100

 

PHY641B - QUANTUM MECHANICS (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

This course is an elective paper which gives students an option to learn about additional topics in quantum mechanics. Students are introduced to the applications of time-independent and time-independent Schrodinger wave equations to bound systems such as hydrogen atom

Learning Outcome

CO1: ● Explain the development of quantum theory and its real applications in physics.

CO2: ● Appreciate the significance of Schrodinger equations in the dynamics of bound systems.

CO3: ● Illustrate the role of operators and their connection with observables, and uncertainty.

CO4: ● Acquire knowledge on spin, angular momentum states, and angular momentum addition rules

Unit-1
Teaching Hours:15
Basics of quantum mechanics
 

Linear operators, Hermitian operators; eigenfunctions and eigenvalues, orthonormalization, completeness; physical interpretation of wave function, admissible conditions on wave functions and the principle of superposition; Position, momentum, Hamiltonian and energy operators, commutation relations, Schrodinger equation – time-dependent and time-independent Schrodinger wave equation. Probability density and probability current density; expectation value, Ehrenfest theorem; basic postulates of quantum mechanics.                                                                           15 hrs   

Unit-2
Teaching Hours:15
Simple applications of time independent Schrodinger wave equation
 

General discussion of bound states in an arbitrary potential- continuity of wave function, boundary condition, Particle in a potential box of infinite height – one and three dimensional, eigenvalues and eigenfunctions (with the derivation of expression for energy), degeneracy, the density of states; Potential barrier transmission– transmission and reflection coefficients for E<V0 and E>V0; Simple harmonic oscillator – energy levels, eigenvalues and eigenfunctions using Frobenius method, Hermite polynomials, ground state, zero-point energy.  

Unit-3
Teaching Hours:15
Quantum theory of hydrogen atom
 

Angular momentum – expressions for cartesian components and square of (orbital) angular momentum; operators and their commutation relations, eigenvalues and eigenfunctions in polar coordinates, eigenvalues and eigenfunctions of L2 and Lz.

Hydrogen atom: Central potential, time-independent Schrodinger equation in spherical polar coordinates; separation of variables for second-order partial differential equation; principal, orbital and magnetic quantum numbers – n, l, ml; Energy eigenvalues, Radial wave function R(r). Electron probability density – radial and angular variations; shapes of the probability density for ground and first excited states; s, p, d,….shells.

Text Books And Reference Books:

].A. Beiser, Perspectives of Modern Physics, McGraw-Hill, 1968.

[2].R. Eisberg and R. Resnick, Quantum Mechanics, 2ndEdn., Wiley, 2002. 

[3].G. Aruldhas, Quantum Mechanics, 2ndEdn., PHI Learning of India, 2002.

 

[4].D. J. Griffith, Introduction to Quantum Mechanics, 2ndEdn., Pearson Education, 2005.  [5].W. Greiner, Quantum Mechanics, 4thEdn., Springer, 2001. 

Essential Reading / Recommended Reading

[1]B. C. Reed, Quantum Mechanics, Jones and Bartlett Learning, 2008. 

[2].A. Bohm, Quantum Mechanics: Foundations and Applications, 3rdEdn., Springer, 1993. 

[3].D. A. B. Miller, Quantum Mechanics for Scientists and Engineers, Cambridge University Press, 2008.

Evaluation Pattern

Evaluation Pattern

 

No.

Components

Marks

CIA 1

Written test on descriptive answers

10

CIA2

Centralized Mid Sem Examination

25

CIA 3

Quiz, MCQ test, presentation, minor project, MOOC

10

Attendance

 Regularity and Puntuality

05

ESE

Centralized End Sem Examination

50

Total

100

PHY641C - NUCLEAR AND PARTICLE PHYSICS (2021 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

This course has been conceptualized in order to give students an exposure to the fundamentals of nuclear and particle physics. Students will be introduced to the new ideas such as properties and structure of nucleus, interaction of nuclear radiations with matter and the principles behind working of radiation detectors, fundamental particles and their interactions, particle accelerators. Unit II caters to regional and national needs.

Learning Outcome

CO1: ● Acquiring the knowledge of basics of nuclear physics, which enables them to use it for understanding the structure and properties of nucleus

CO2: Able to understand the nuclear interactions with matter and applications of nuclear radiations.

CO3: Able to acquire working knowledge of radiation detectors.

Unit-1
Teaching Hours:15
Properties and Structure of Nucleus
 

Properties of nucleus: Constituents of nucleus and their intrinsic properties, quantitative facts about size, mass, charge density, matter density, binding energy, average binding energy and its variation with mass number, main features of binding energy versus mass number curve.

Nuclear models: Liquid drop model of nucleus, semi-empirical mass formula, binding energy expression and significance of various terms in it. Fermi gas model - degenerate fermi gas, Fermi energy, fermi momentum, total energy of nucleus, role of asymmetry energy in the stability of a nucleus. Nuclear shell model - basic assumptions of shell model, concept of mean field, residual interaction, evidence for nuclear shell structure, nuclear magic numbers, concept of nuclear force, its characteristics and experimental evidence (qualitative).

Unit-2
Teaching Hours:15
Interaction of Nuclear Radiations with Matter and Detectors
 

Interaction of nuclear radiations with matter: Interaction of heavy charged particles with matter - energy loss due to ionization and excitation (Bethe-Bloch formula). Interaction of light charged particles with matter - range, energy loss of light charged particles, range energy relation for beta particles, mass absorption coefficient for beta particles. Interaction of γ-rays with matter - Photoelectric effect, Compton scattering, Pair production and their interaction cross sections, linear and mass attenuation coefficients.

Detectors: Gas detectors - estimation of electric field, mobility of particle, construction and working of ionization chamber and GM Counter. Basic principle, construction and working of scintillation detectors, types of scintillators and their properties. Semiconductor detectors (Si(Li) &amp; Ge(Li)) - for charge particle and photon detection, concept of charge carrier and mobility, construction and working.

Unit-3
Teaching Hours:15
Elementary particles and accelerators
 

Elementary particles: Production and properties of π, µ and K mesons, types of particle interactions, types of elementary particles and their families, classifications based on spin and type of interactions, Symmetries and conservation laws - energy, linear momentum, angular momentum, charge, parity, baryon number, lepton number, isospin, strangeness, Concept of quark model - types of quarks and their properties, color quantum number and gluons.

Particle accelerators: Van-de Graaff generator (Tandem accelerator), Linear accelerator, Cyclotron (principle, construction and working), Accelerator facility available in India.

Text Books And Reference Books:

[1]. Krane, K. S. (2008). Introductory nuclear physics. New York: Wiley India Pvt. Ltd.

[2]. Griffith, D. (2008). Introduction to elementary particles (2 nd ed.). Weinheim: John Wiley & Sons.

[3]. Goshal, S. N. (2005). Nuclear physics. New Delhi: Chand & Co.

[4]. Heyde, K. (2004). Basic ideas and concepts in nuclear physics - An introductory approach (3 rd ed.). Philadelphia, USA: Institute of Physics Publishing, CRC Press.

[5]. Knoll, G. F. (2000). Radiation detection and measurement. New York, NY: John Wiley and Sons.

[6]. Cohen, B. L. (1998). Concepts of nuclear physics. New York, NY: Tata McGraw Hill.

Essential Reading / Recommended Reading

[7]. Dunlap, R. A. (2004). Introduction to the physics of nuclei and particles (1 st ed.). Belmont CA, USA: Thomson/Brooks-Cole.

[8]. Blatt, J. M., &amp; Weisskopf, V. F. (1991). Theoretical nuclear physics. New York, NY: Dover Publishing Inc.

[9]. Halzen, F., &amp; Martin, A. D. (1984). Quarks and leptons. New Delhi: Wiley India.

Evaluation Pattern

No.

Components

Marks

CIA 1

Written test on descriptive answers

10

CIA2

Centralized Mid Sem Examination

25

CIA 3

Quiz, MCQ test, presentation, minor project, MOOC

10

Attendance

 Regularity and Puntuality

05

ESE

Centralized End Sem Examination

50

Total

100

PHY651 - MODERN PHYSICS - II LAB (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Experiments related to molecules, solid state physics and nuclear physics included in this course provides a better understanding of the theory.

Learning Outcome

CO1: Develop better clarity of the theory through the respective experiments.

CO2: Enhance the analytical and interpretation skills.

Unit-1
Teaching Hours:30
List of experiments
 

      1.      To determine the absorption lines in the rotational spectrum of Iodine vapour.

2.      Analysis of molecular spectra - rotational-vibrational.

3.      Resistivity of a material by four probe technique.

4.      Determination of thermal conductivity of a material.

5.      Determination of energy gap of a semiconductor

6.      Spectral response of a selenium photo cell (λ vs. I)

7.      Hall effect – determination of carrier concentration in a semiconductor/metal

8.      Demonstration experiment: Magnetic levitation by a superconductor

      9.      Verification of inverse square law (applicable to intensity of gamma rays emitted by a radioactive substance) using a GM counter.

     10.  Characteristics of a Geiger – Muller (GM) counter.

      11.  Analysis of rotational Raman spectrum 

Text Books And Reference Books:

1.      Physics Laboratory – I ,  PHE -03 (L)  Indira Gandhi National Open  University  School of Sciences.

2.      A Lab manual of Physics for undergraduate classes, Vani Publications, New Delhi, 2002.

3.      Advanced course in practical physics,Chattopadhyay, Rakshit and Saha, New Central Publishers, Kolkota, 2000.

4.      Advanced Practical Physics,S PSingh, Pragati Prakasan Publishing Company,  2010.

 

Essential Reading / Recommended Reading

1.      Advanced Practical Physics,Worsnop and Flint, Methuen & Co., Prentice Hall of  India Third edition, Pearson Education, 2005.

2.      Physics through experiments,B. Saraf, Vikas Publishing House, New Delhi, 1992.

Evaluation Pattern

 

 

Component

Duration

Marks

CIA

Class work, Prelab assignment, MST

 

30

ESE

Experiment and viva voce

3 hours

 

20

Total

50

 

 

 

PHY651A - SOLID STATE PHYSICS LAB (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:02

Course Objectives/Course Description

 

Experiments related to solid state physics and elementary properties provide a better understanding of the theory. 

  •  

Learning Outcome

CO1: Develop a better understanding of fundamentals of X-ray crystallography through diffraction experiments.

CO2: Enhance their analytical and interpretation skills.

CO3: Estimate the dielectric and magnetic properties of solids.

Unit-1
Teaching Hours:30
List of experiments
 
  1. Calculation of structure factors of typical crystal structures (NaCl and KCl). 

  2. Verification of Moseley’s law 

  3. X-ray analysis of the powder photograph of copper 

  4. Characteristics of LDR.  

  5. Determination of specific heat of a metal.  

  6. Determination of dielectric constant 

  7. X-ray analysis of tungsten powder photograph 

  8. Electrical and thermal conductivity of copper 

  9. Electrical conductivity of glass 

  10. Determination of paramagnetic susceptibility – Quinke’s method  

  11. BH curve of iron using a solenoid and determination of energy loss from hysteresis

Text Books And Reference Books:

[1]. Advanced Practical Physics, Worsnop and Flint, Methuen & Co., Prentice Hall of India Third Edition, Pearson Education, 2005.

[2]. Physics through experiments, B. Saraf, Vikas Publishing House, New Delhi, 1992.

Essential Reading / Recommended Reading

[3]. Physics Laboratory – I, PHE -03 (L) Indira Gandhi National Open University School of Sciences.

[4]. A Lab manual of Physics for undergraduate classes, Vani Publications, New Delhi, 2002.

[5]. Advanced course in practical physics, Chattopadhyay, Rakshit and Saha, New Central Publishers, Kolkata, 2000.

[6]. Advanced Practical Physics, S. P. Singh, Pragati Prakasan Publishing Company, 2010.

Evaluation Pattern

Continuous Internal Assessment (CIA) 60%,   End Semester Examination (ESE) 40%

No

Components

Duration

Marks

CIA 1

Pre-lab assessment

Preparation for performing experiment -writing principle, procedure, tabular column, understanding the experiment, etc

 

10

CIA 2

MSE

Examination in which principle, procedure, formula, diagram, tabular column, performance of the experiment and viva are assessed

 

10

CIA 3

Post-lab assessment

Completion of the experiment with accuracy

 

10

ESE

Centralized examination in which principle, procedure, formula, diagram, tabular column, performance of the experiment, calculation, viva and understanding of the experiment are assessed

3 hours

 

20

 

 

Total

50

PHY651B - QUANTUM MECHANICS LAB (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

The objective of this module is to introduce the students to problem solving skills on various topics in quantum mechanics. 

Learning Outcome

CO1: ● Demonstrate the skills of problem solving and understand the concepts clearly.

CO2: ● Develop the ability to write programs in python language.

Unit-1
Teaching Hours:30
List of exercises/experiments
 

1. Black body radiation – Graphical study of black body radiation curve - Rayleigh-Jeans and Wien’s displacement laws.

2. Particle in a 1D box – Graphical study of wavefunctions and probability densities.

3. Quantum harmonic oscillator – Graphical study of wavefunctions, probability densities and spacing of energy levels.

4. Potential barrier penetration – Graphical study of Reflection and transmission coefficients.

5. Hydrogen atom – Graphical study of radial wavefunctions and probability densities.

6. Non-interacting particles in an infinite square well: Study of energy states of the system.

7. Potential step - Graphical study of reflection and transmission coefficients

8. Problem solving-1.

9. Problem solving-2

Text Books And Reference Books:

].A. Beiser, Perspectives of Modern Physics, McGraw-Hill, 1968.

[2].R. Eisberg and R. Resnick, Quantum Mechanics, 2nd Edn., Wiley, 2002. 

[3].G. Aruldhas, Quantum Mechanics, 2nd Edn., PHI Learning of India, 2002.

 

 

Essential Reading / Recommended Reading

[1] D. A. B. Miller, Quantum Mechanics for Scientists and Engineers, Cambridge University Press, 2008. 

[2].D. J. Griffith, Introduction to Quantum Mechanics, 2nd Ed., Pearson Education, 2005.

[3].G. L. Squires, Problems in Quantum Mechanics with Solutions, Cambridge University Press, 2002. 

Evaluation Pattern

 

Evaluation Pattern

 

 

Component

Duration

Marks

CIA

Class work, Prelab assignment, MST

 

30

ESE

Experiment and viva voce

3 hours

 

20

                                                               Total

50

 

PHY651C - NUCLEAR AND PARTICLE PHYSICS LAB (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

 

Students are expected to learn the topics such as binding energy, mass absorption coefficient for beta rays, mass attenuation coefficients for gamma rays, working of GM counter, NaI(Tl) and CdTe detectors. 

Learning Outcome

Better clarity of the theory through the respective experiments is expected. Hands on experience of working with detector spectrometers. Development of analytical and interpretation skills.

Unit-1
Teaching Hours:30
NUCLEAR PHYSICS-LAB
 

1. Computation of binding energy of nuclei.

2. Mass absorption coefficient for beta particles in copper using GM counter. 

3. Range and end point energy of beta particles in aluminum. 

4. Mass attenuation coefficient of gamma rays in lead using GM counter.

5. Resolution of NaI(Tl) detector spectrometer.

6. Computation of energy loss for protons and alpha particles in aluminum and lead.

7. Calibration of NaI(Tl) detector spectrometer.

Text Books And Reference Books:

[1] Goshal, S. N. (2005). Nuclear physics. New Delhi: Chand & Co.

[2].Knoll, G. F. (2000). Radiation detection and measurement. New York, NY: John Wiley and Sons.

Essential Reading / Recommended Reading

[1].Kapoor, S. S. and Ramamurthy, V. S. (2012). Nuclear radiation detectors. New Delhi: New Age International Publishers. 

[2].Krane, K. S. (2008). Introductory nuclear physics. New York: Wiley India Pvt. Ltd.

Evaluation Pattern

Student will be evaluated based on

1. whether a student has come prepared for the practical such drawing experimental diagram, tabular column, formulae etc.

2. whether the student is able to complete the experiments and do the calculations during allotted hours.

3. viva on the experiments performed.

Evaluation Pattern

 

 

Component

Duration

Marks

CIA

Class work, Prelab assignment, MST

 

30

ESE

Experiment and viva voce

3 hours

 

20

                                                                                   Total

50

VPHY611 - MATHEMATICAL TOOLS IN PHYSICS (2021 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:100
Credits:0

Course Objectives/Course Description

 

This course is an introduction to some of the basic mathematical tools that is essential in understanding physics. The course will highlight topics such as trigonometry, calculus, and their applications to physical systems. The course is aimed at giving a foundation in practical use of these mathematical tools which is needed for continued higher education in physics. 

Learning Outcome

CO1: Learners will be able to understand the basic physical aspects of trigonometry and calculus.

CO2: Learners will be able to evaluate and solve real-world physical problems using these mathematical tools.

Unit-1
Teaching Hours:15
Trigonometry and Logarithms
 

Basics of trigonometry, physical interpretation of the ratios, unit circle interpretation, graphs, identities, understanding the physical meaning of the identities and nature of the graphs, problem-solving.

 

History and introduction to logarithms, natural and common log, inverse log and Euler’s number, physical phenomenon, human perception, and logarithm, problem-solving.

Unit-2
Teaching Hours:15
Limits and Calculus
 

Introduction to functions and limits, graphical representation of physical systems and phenomena, graph interpretation, problem-solving.

The physical origin of calculus, arriving at differential and integral formulae from a graphical and physical basis, understanding the physical meaning of differentiation and integration, maxima and minima, and problem-solving. 

Text Books And Reference Books:

J. Nearing, Mathematical Tools for Physics, University of Miami Press, 2003

K.F. Riley, M.P. Hobson, S.J. Bence, Mathematical Methods for Physics and Engineering, Cambridge University Press, 2006

 

 

Essential Reading / Recommended Reading

M. L. Boas, Mathematical Methods in the Physical Sciences, John Wiley, 2005

Evaluation Pattern

Department-level evaluation. 

Students are evaluated based on presentations and assignments.