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

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.

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

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.

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

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

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 

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.

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.

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

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

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.

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.

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.

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

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.  

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.

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.

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

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

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.  

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 15^th 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.

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.

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.

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.

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.

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.

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.

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. 

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.

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.

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.

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. 

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.

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.

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

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.

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.

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.

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.

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

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

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.

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..

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

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.

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.

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.

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.

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.

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.

This course gives a good understanding of the functioning and applications of basic solid-state electronic devices and their circuits like amplifiers and oscillators.

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. 

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. 

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.

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.

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.

This course deals with various topics of natural products chemistry and lays the foundation for the study of heterocyclic compounds.

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.

This practicals course deals with analysis of fertilizers, ceramic and plastic materials, estimation of ores, alloys and cement

This course deals with the extraction and estimation of natural products chemistry and lays the foundation for the analysis of organic compounds. 

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.

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.

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

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.

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

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.

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.

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.

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.   

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.

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

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.

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.

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

This course is envisaged to provide a strong foundation of basics of modern physics.  Molecular physics, Lasers, solids, superconductivity and nuclear physics.

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. 

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

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.

Experiments related to molecules, solid state physics and nuclear physics included in this course provides a better understanding of the theory.

Experiments related to solid state physics and elementary properties provide a better understanding of the theory. 

The objective of this module is to introduce the students to problem solving skills on various topics in quantum mechanics.