Syllabus for
Bachelor of Science (Economics, Mathematics, Statistics)
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 is designed to enable students to understand the importance of research in creating and extending the knowledge base in their research interests. In this process, it develops the students' ability to distinguish between the strengths and limitations of different research approaches in general and in their research area specifically. Finally, the course imparts skills to work independently, to plan and carry out a small-scale research project.

The course is intended to give an understanding of the theoretical perceptions of economic growth and development together with the forces bringing about them. It also helps to broaden the awareness of the challenges in the developmental process and thus motivate the students towards the thought process of alternative solutions.

1. Gain conceptual base in Economic Dvelopment and Growth.

2. Familiarise with key models and theories in Dvelopment and Growth.

3. Gain insight in to the key issues of economic development.

4. Get awareness of the approaches to development efforts.

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

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.

This course is designed to introduce the concepts of theory of estimation and testing of hypothesis. This paper also deals with the concept of parametric tests for large and small samples. It also provides knowledge about non-parametric tests and its applications.

This course is designed to give a practical exposure for testing of hypothesis by analyzing various data sets using R programming.

Course description: This course is designed to build the logical thinking ability and to provide hands-on experience in solving statistical models using MS Excel with Problem based learning. To explore and visualize data using excel formulas and data analysis tool pack.

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.  

The course is designed to provide a sound understanding of some of the advanced concepts in Microeconomics and Macroeconomics. The course combines mathematical approach along with the geometric approach to economic theory and includes some intermediate concepts, which aim to bridge the gap between the Principles of Microeconomics and Macroeconomics that the students have studied in the first year and the Mathematical Economics.   

·         Sound understanding of the concepts at the intermediate level relating to consumer behavior, production and market structure

·         Students will get familiar with the mathematical approach to economic analysis

Understanding of the macroeconomic functioning of the economy

The aim of this paper is to provide students with strong foundation in the principles of international economics which will help them to know the trade policies at the national and international levels and the impact of the globalization on income, employment and social standards in the current international scenario. The paper also covers the pure theory of trade and extensions thereof, customs union, and balance of payments adjustment policies under alternative exchange-rate regimes including the determination of the exchange rate.

The Subject Matter of International Economics; Trade Based on Absolute Advantage; Trade Based on Comparative Advantage; Comparative Advantage and Opportunity Costs; Empirical Tests of the Ricardian Model.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.  

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

This course designed to introduce the concepts, models and problem solving techniques of stochastic process.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

This course is designed to teach practical Stochastic process problems using statistical softwares.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

The  main  objectives  of the  paper  are  to  train  the  students to  grasp  the  use  of mathematical techniques and operations to analyse economic problems and to  initiate students into various economic concepts which are amenable to mathematical treatment.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

Course Description 

This is an elective course. This course attempts to make students understand the broad functioning of a bank both at the macro and micro levels and measure the performance of banks. The said course also offers basic knowledge about the uniqueness of the Insurance business and thereby enables the participants to understand the multi-disciplinary functions of an Insurance organization.

Course Objectives

This course enables the participants to understand the multi-disciplinary functions of a banking sector and also Insurance organization both at the macro and micro levels.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

Analytical and Logical Training Skills is an add-on course. This course is designed in a way that inculcates the habit of application of concepts thereby paving way for effective learning and optimal utilization of time. It is specially designed for high performance in Quantitative, reasoning and general knowledge sections of various examinations.

Course Objective: This course will the learner to 

COBJ1, enhance aptitude and reasoning skills

COBJ2. quickly answer the questions on quantitative, reasoning and general knowledge

 COBJ3. face competitive examinations boldly and be successful also.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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..

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

Course Description: This course provide the students an opportunity to gain work experience in the relevant institution / industry, connected to their subject of study. The experience gained in the workplace will give the students a competitive edge in their career.

Course Objective: This course help the learner to

COBJ1. get exposed the work ethics of the field of their professional interest

COBJ2. gain practical experience on the field of their interest

COBJ3. choose their career through practical experience

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

This course deals with simple and multiple linear regression models with their assumptions, estimation and their significance of regression coefficients. Model and variable selection techniques and variable transformation techniques are discussed.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

This course designed to introduce about official statistical system in India and to understand the concepts of basic Sample survey designs.

 After completion of this course the students will be able to

1. Demonstrate the basic principles and different steps in planning a sample survey.

2. Analysis various sampling techniques and their application

3. Demonstrate the official Statistical System in India.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

This course introduces various experimental designs, selection of appropriate designs in planning a scientific experimentation.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

This course is designed to introduce the application of statistical methods in framing the insurance

policies.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

This course designed as an application of statistics in geographical data analysis

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

The course is designed to provide a practical exposure to the students in Simple and Multiple linear

Regression Analysis.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

The course is designed to provide a practical exposure to the students in application of different sampling techniques.

CO1: After completion of this course the students will acquire the knowledge on different sampling techniques

CO2: After completion of this course the students will able to decide the application of different sampling techniques under different situation.

CO3: After completion of this course the students will be able to design sampling procedures for various situations

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

The course is designed to provide a practical exposure to the students for the various experimental

designs.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

The course is designed to provide a practical exposure to the students in Actuarial Modeling.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

This course is designed to teach practical Spatial problems using statistical softwares.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

The objective of this course is to provide the basic knowledge of econometrics that is essential equipment for any economist. The course is designed to impart the learning of principles of econometric methods and tools. This is expected to improve student’s ability to understand of econometrics in the study of economics and finance.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

This course introduces students to the conceptual and practical operations of the financial markets, institutions, and instruments network in the Indian context. The course is intended to provide an in-depth understanding of the operational issues of capital and money market network along with its regulatory framework.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.   

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

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

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

This course covers applied statistical methods pertaining to time series and forecasting techniques. Moving average models like simple, weighted and exponential are dealt with. Stationary time series models and non-stationary time series models like AR, MA, ARMA and ARIMA are introduced to analyse time series data.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

This course is designed to teach demographic methods, mortality and fertility rates, concept of index numbers and their usages are explained. Demand analysis helps students to understand the various statistical tools used in demand and supply sector. Educational and psychological statistics are used to emphasize the usage of statistics in real life.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

This course is designed to introduce the application of statistical tools on industrial environment to study, analyze and control the quality of products.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

This course is designed as an application of statistics in medical sciences. The concepts of bioassays, quantitative epidemiology and survival analysis are introduced. R programming is used to analyze the biomedical data.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks

This course is designed to introduce the basic concepts of genetics,estimation of linkage, Application and extension of the equilibrium law under different situation.This course also introduces the concept of inbreeding, Heritability, Repeatability and Geneticcorrelationin large populations.

CIA II (Mid semester Exam) : 50 Marks

CIA III : 20 Marks

End Semester Examination : 100 Marks