BSc Mathematics Course Syllabus 2025: Semester Subjects, Electives, Books, Specializations

BSc Hons. Mathematics

Discipline-Specific Core Subjects

20 (4 credits each)

Discipline-Specific Elective Subjects

6 (4 credits each)

BSc Prog. Mathematics

(Physical Sciences/Mathematical Sciences)

Discipline-Specific Core Subjects

8 (4 credits each)

Discipline-Specific Elective Subjects

6 (4 credits each)

Discipline-Specific Core Courses

Semester - I

• Algebra
• Elementary Real Analysis
• Probability and Statistics

Semester - II

• Linear Algebra
• Calculus
• Ordinary Differential Equations

Semester - III

• Group Theory
• Riemann Integration
• Discrete Mathematics

Semester - IV

• Sequences and Series of Functions
• Multivariate Calculus
• Numerical Analysis

Semester - V

• Metric Spaces
• Ring Theory
• Partial Differential Equations

Semester - VI

• Advanced Group Theory
• Advanced Linear Algebra
• Complex Analysis

Semester - VII

• Linear Analysis

Semester - VIII

• Field Theory and Galois Extension

Discipline-Specific Elective Courses

Semester – I to VIII

DSE 1: Choose any one

• Graph Theory
• Mathematical Python
• Number Theory

DSE 2: Choose any one

• Biomathematics
• Mathematical Modeling
• Mechanics

DSE 3: Choose any one

• Mathematical Data Science
• Linear Programming and Applications
• Mathematical Statistics

DSE 4: Choose any one

• Mathematical Finance
• Integral Transforms
• Research Methodology

DSE 5: Choose (minimum 1, maximum 3)

• Advanced Differential Equations and Dynamical Systems
• Fundamentals of Topology
• Information Theory and Coding
• Optimization
• Research Methodology

DSE-6: Choose (minimum 1, maximum 3)

• Advanced Mechanics
• Cryptography
• Industrial Mathematics
• Geometry of Curves and Surfaces
• Integral Equations and Calculus of Variations
• Machine Learning: A Mathematical Approach

Discipline-Specific Core Courses

Semester - I

• Topics in Calculus

Semester - II

• Elementary Linear Algebra

Semester - III

• Differential Equations

Semester – IV

• Abstract Algebra

Semester – V

• Elements of Real Analysis

Semester – VI

• Probability and Statistics

Semester – VII

• Numerical Methods

Semester - VIII

• Topics in Multivariate Calculus

Discipline-Specific Elective Courses

Semester – I to VIII

DSE 1: Choose any one

• Combinatorics
• Elements of Number Theory
• Theory of Equations and Symmetries

DSE 2: Choose any one

• Elements of Discrete Mathematics
• Introduction to Graph Theory
• Linear Programming

DSE 3: Choose any one

• Biomathematics
• Mathematical Python
• Mechanics

DSE 4: Choose any one

• Elementary Mathematical Analysis
• Introduction to Mathematical Modeling
• Research Methodology

DSE 5: Choose (minimum 1, maximum 3)

• Advanced Linear Algebra  
• Elements of Metric Spaces
• Mathematical Data Science
• Integral Transforms
• Research Methodology

DSE 6: Choose (minimum 1, maximum 3)

• Applied Algebra
• Elements of Partial Differential Equations
• Mathematical Statistics
• Optimization Techniques
• Rings and Fields

Semester – I

Choose one:

• Fundamentals of Calculus
• Theory of Equations and Symmetries

Semester – II

Choose one:

• Analytic Geometry
• Introduction to Linear Algebra

Semester – III

Choose one:

• Differential Equations
• Lattices and Number Theory

Semester – IV

Choose one:

• Elements of Real Analysis
• Linear Programming

Semester – V

Choose one:

• Numerical Methods
• Mathematical Python
• Elementary Mathematical Analysis

Semester – VI

Choose one:

• Introduction to Mathematical Modeling
• Discrete Dynamical Systems
• Abstract Algebra

Semester – VII

Choose maximum two:

• Applied Algebra
• Elements of Metric Spaces
• Introduction to Graph Theory
• Topics in Multivariate Calculus

Semester - VIII

Choose maximum two:

• Rings and Fields
• Elements of Partial Differential Equations
• Elements of Complex Analysis
• Optimization Techniques

CALCULUS

Anton, H., Bivens, I., & Davis, S.

Introduction To Real Analysis

Bartle, R. G. & Sherbert, D. R.

Contemporary Abstract Algebra

Gallian, J. A.

Elements of Partial Differential Equations

Denlinger, Charles G.

Metric Spaces

Shirali, Satish & Vasudeva, H. L.

Discrete Mathematics with Graph Theory

Goodaire, E. G. & Parmenter, M. M.

Banaras Hindu University

BHU BSc Mathematics Syllabus

Jamia Millia Islamia

Jamia Millia Islamia BSc Mathematics Syllabus

Hindu College, University of Delhi

Hindu College BSc Mathematics Syllabus

Indian Institute of Science, Bangalore

IISc BSc Mathematics Syllabus

Hansraj College, University of Delhi

Hansraj College BSc Mathematics Syllabus

Miranda House, University of Delhi

Miranda House BSc Mathematics Syllabus

PSG College of Arts and Science

PSG College BSc Mathematics Syllabus

Loyola College

Loyola College BSc Mathematics Syllabus

Jadavpur University

Jadavpur University BSc Mathematics Syllabus

Aligarh Muslim University

Aligarh University BSc Mathematics Syllabus