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

Updated on May 16, 2025 02:55 IST
Diya Nihalani

Diya NihalaniContent Author

BSc Mathematics is a 3 year UG course where you'll study mathematical skills and solutions in Algebra, Real Analysis, Probability, Calculus, Integration, Differential Equations, etc. Each semester of this course is divided into discipline-specific core courses, discipline-specific elective courses, general elective courses, and skill enhancement courses.

Types of BSc Mathematics Courses and Credits

Here are some types of BSc Mathematics courses you can opt for in India.

BSc Mathematics Course Types

Core/Elective Subjects

Total Numbers and Credits

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)

Note - The info is taken from external sites and may vary.

BSc Hons. Mathematics Syllabus

For your reference, here's the detailed BSc Hons. in Maths syllabus followed in almost every college in India.

BSc Hons. Mathematics Courses

Semesters

Course Syllabus

 

 

 

 

 

 

 

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

Note - The info is taken from external sites and may vary.

BSc Mathematics Syllabus

In this table, you can see the BSc Maths syllabus usually followed in many colleges.

BSc Mathematics Courses

Semesters

Course Syllabus

 

 

 

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

Note - The info is taken from external sites and may vary.

BSc Mathematics: General Elective Courses

Here are some electives you can choose from with the core subjects in the BSc Mathematics course.

Semesters

BSc Mathematics General Elective Courses

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

Note - The info is taken from external sites and may vary.

BSc Mathematics: Popular Books and Authors

Books are another important part of the coursework, so for your reference, here are some popular Maths books and their authors.

BSc Mathematics Popular Books

Author Name

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.

Note - The info is taken from external sites and may vary.

BSc Mathematics Syllabus in Best Colleges of India

Here are some of the best BSc Mathematics colleges in India with their syllabus PDFs, you can refer to.

Best BSc Mathematics Colleges in India

BSc Mathematics Syllabus

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

Note - The info is taken from official sites of the college.

Table of contents
  • Popular BSc Mathematics Colleges in India
  • Popular Private BSc Mathematics Colleges in India
  • Popular BSc Mathematics Specializations
  • Most Popular Courses

Popular BSc Mathematics Colleges in India

Following are the most popular BSc Mathematics Colleges in India. Learn more about these BSc Mathematics colleges (Courses, Reviews, Answers & more) by downloading the Brochure.
600 - 2.4 L
8 - 8.5 LPA
2.1 L - 13.2 L
3.4

B.Sc. Applications open. Apply Now

11 Courses
23.4 K - 6.2 L
6 LPA
30 K - 2.7 L
3.5 - 5 LPA
12 Courses
540
8.4 LPA

Popular Private BSc Mathematics Colleges in India

60 K - 5.6 L
5 LPA
10 L
6.4 L
52.5 L
4 Courses
7.2 L
2.82 L - 10.55 L
4.75 - 7.45 LPA

B.Sc. Applications open. Apply Now

Popular BSc Mathematics Specializations

Following are the most popular BSc Mathematics Specializations . You can explore the top Colleges offering these Specializations by clicking the links below.

Popular Specializations

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The eligibility criteria for admission in Mathematics and Statistics Subject is, you have to make sure that you took mathematics in class 12th and scored at least 85%. That's all. It will make you eligible to get admission on both of your desired subjects

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