B.Sc. program in Mathematics

The BSc in Mathematics focuses on developing problem-solving skills and logical thinking. It emphasizes the application of mathematical concepts to real-life scenarios and builds a strong foundation in various branches of mathematics. Students gain proficiency in reasoning, abstract thinking, and data analysis. With experienced faculty guiding them, graduates are equipped for careers in teaching, research, IT, and finance.

Program Objectives

  • Graduate students will develop a strong foundation in key branches of Mathematics.
  • Graduate students will enhance their problem-solving abilities and logical thinking skills.
  • Graduate students will apply mathematical knowledge to real-life situations and competitive exams.
  • Graduate students will stay updated with recent developments and engage in research activities.

 

Course Curriculum framework under Autonomy

Program: B.Sc.

Department: Mathematics

Semester-I

Course code

Course Title

Credits
SMAT101

Calculus-I

1)Real number system

2) Sequences

 2

3) First Order Differential Equations

 
SMAT102

Algebra-I

1)Sets and functions

2)         Divisibility in Integers

3)         Congruence

 2
SMAT1PR Based on SMAT101, SMAT102 2
Semester-II
SMAT201

Calculus-II

1)Continuous Functions

2)         Differentiable Functions

3)         Application of differentiability

 2
SMAT202

Algebra-II

1)System of Linear Equations

2)         Permutations

3)         Polynomials

 2
SMAT2PR Based on SMAT201, SMAT202 2

 

Semester-III
SMAT301

Calculus-III

1)Series of real numbers

2)  Multivariate calculus

3)  Second order differential equations

 3
SMAT302

Linear Algebra-I

1)Vector spaces and subspaces

2)  Linear transformations

3)  Determinants

 3
SMAT303

Data Analytics-I

1)Measures of central tendency and dispersion

2)  Discrete probability distribution

3)  Continuous probability distribution

 3
SMAT3PR Based on SMAT301, SMAT302, SMAT303 2.5
Semester-IV
SMAT401

Calculus-IV

1)Riemann Integration

2)  Application of Riemann Integration

3)  Beta and Gamma functions

 3
SMAT402

Linear Algebra-II

1)Inner Product Spaces

2)  Eigen-values and Eigen-vectors

3)  Diagonalization  

 3
SMAT403

Data Analytics-II

1)Testing of Statistical Hypothesis

2)  Statistical Learning

3)  Supervised and unsupervised learning

 3
SMAT4PR Based on SMAT401, SMAT402, SMAT403 2.5

Semester V

SMAT501

Integral Calculus

1)         Multiple Integral

2)         Line Integral

3)         Surface Integral

 4

SMAT502

 

Abstract Algebra-I

1)         Introduction to Groups

2)         Group Homomorphism

3)         Normal and quotient groups

 4

SMAT503

 

Metric Spaces-I

1)         Introduction to Metric Spaces

2)         Open and Closed sets

3)         Sequences in a Metric Space

 4

SMAT504

 

Data Analytics-III

1)         Introduction to Data Processing

2)         Supervised and unsupervised Machine Learning

3)         Principle component analysis

 4

SMAT5PR1

 

 Based on SMAT501 AND SMAT502 4

SMAT5PR2

 

 Based on SMAT503 AND SMAT504 4

SMAT5AC

 

Python and R-Programming-I

1)         Introduction to codes using Python

2)         Loops and control statements

3)         Introduction to R programming

4)         Statistical modeling and Graphics

 2.5

SMAT5ACPR

 

 Based on SMAT5AC 2.5

Semester VI

SMAT601

Real and Complex Analysis

1)         Sequences and series of functions

2)         Introduction to complex analysis

3)         Complex power series

 4

SMAT602

 

Abstract Algebra-II

1)         Introduction to Ring Theory

2)         Ring Homomorphism

3)         Polynomial rings and factorization

 4

SMAT603

 

Metric Spaces-II

1)         Continuity

2)         Completeness

3)         Connectedness

 4

SMAT604

 

Data Analytics-II 1) Introduction to AI

2)         Introduction to Neural Networks

3)         ANN, CNN, RNN

 4

SMAT6PR1

 

 Based on SMAT601 AND SMAT602 4

SMAT6PR2

 

 Based on SMAT603 AND SMAT604 4

SMAT6AC

 

Python and R-programming-II

1)Functions and Modules in Python

2)         Object Oriented programming

3)         Descriptive Statistics using R

4)         Regression using R

 2.5

SMATACPR

 

 Based on SMAT6AC 2.5

The minor electives will be offered from the following domains: – Marketing, Management, Data Science, Web Designing, Cybersecurity, Accounting, Taxation, Finance, Financial Markets, Investment Banking, Commercial Data Science, Banking, Biotechnology, Mass communication, Embedded Systems and IoT.