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 till Sep 22, 2026. Apply Now

12 Courses
540
8.4 LPA
23.4 K - 6.21 L
6 LPA
8 Courses
93.51 K - 99.96 K
9.5 LPA

Popular Private BSc Mathematics Colleges in India

1.5 L - 5 L
2.43 L - 6.4 L
3.2
1.6 L - 4 L
1.5 LPA
4.44 L
3.3
93 K - 1.95 L
7.5 L - 12.5 L

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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Answered a month ago

Research work and practical learning are part of the M.A. (Mathematics) curriculum at LPU. The course includes mathematical modelling, problem solving, software based applications, seminars, presentations and project work that help students apply concepts beyond classroom learning. Students also get

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Sampreet Kaur

Beginner-Level 1

Answered a month ago

Placement opportunities after completing M.A. (Mathematics) from LPU are available in both education and industry. Graduates can explore roles such as teacher, lecturer after meeting required eligibility, data analyst, research assistant, content developer, banking professional and quantitative supp

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Sampreet Kaur

Beginner-Level 1

Answered a month ago

Students can prepare for UGC NET CSIR NET and similar competitive exams while pursuing MA Mathematics at LPU because the course builds a strong base in core subjects such as Algebra Analysis Topology and Differential Equations which are important for these exams. Regular academic guidance library re

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Sampreet Kaur

Beginner-Level 1

Answered a month ago

M.A. Mathematics at LPU can be a good choice for students who want strong subject knowledge with practical learning. The course covers advanced mathematics, logical thinking, research methods and problem solving. It also helps in preparing for careers in teaching, research, data analysis and competi

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Sampreet Kaur

Beginner-Level 1

Answered a month ago

The M.A. (Mathematics) programme at LPU covers both core and applied areas of mathematics. Students usually study Real Analysis, Abstract Algebra, Complex Analysis, Differential Equations, Topology, Linear Algebra, Numerical Methods, Probability, Statistics and Mathematical Modelling. The curriculum

...Read more

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Sampreet Kaur

Beginner-Level 1

Answered a month ago

M.A. (Mathematics) graduates from LPU get opportunities in schools, colleges, coaching institutes, research projects, banks, insurance companies, analytics firms and IT related roles where strong mathematical skills are valued. Many students also prepare for government exams or continue with higher

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Sampreet Kaur

Beginner-Level 1

Answered a month ago

Yes. The M.A. Mathematics curriculum at LPU includes topics from applied mathematics along with statistics and computational techniques. The course is designed to strengthen mathematical concepts and also develop analytical and problem solving skills through practical applications. Students also get

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Sampreet Kaur

Beginner-Level 1

Answered a month ago

To get into Delhi University, you would have to first appear for the CUET PG exam and attend the counselling process. As per Round 3 of CUET PG, General AI category students would need a score of at least 164 for Zakir Husain Delhi College. 

On the other hand, for NIT Manipur, the minimum score requi

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Neerja Rohatgi

Contributor-Level 10

Answered a month ago

TU Berlin is ranked highly all over the world. Mathematics is one of the most opted subjects by Indian students. The University is ranked #11 in Germany and #6 for MS Courses. As per ARWU (Shanghai Rankings), the University is ranked #51 and #101 for the year 2024 and 2025.

K

Khushi Arora

Contributor-Level 10

Answered 2 months ago

No, Business Mathematics and Applied Mathematics cannot be considered as a substitute of Mathematics. Both are very different subjects. No candidate is eligible for BSc (except BSc (Hons) Economics) if they have studied any of these two in their previously qualified exam.

R

Riya Gupta

Contributor-Level 9

Answered 2 months ago

No, Mathematics is not a mandatory subject for BDes courses at PP Savani University. Eligibility criteria for this course does not restrict candidates based on their chosen subjects or stream in Class 12th. There is also no restriction based on the aggregate secured by candidates.

S

Saurabh Khanduri

Contributor-Level 10

Answered 2 months ago

Eligibility Criteria for BSc in Basic Sciences are mentioned in the following table:

BSc Course

Eligibility

BSc Physics

Minimum 50% aggregate in Class 12 exam or equivalent exam with Physics as one of the subjects.

BSc Chemistry

Minimum 50% aggregate in Class 12 in Science Stream with Chemistry, Physics and Mathematics/ Biology/ Computer Science / Informatics Practices/ Information Technology as compulsory subjects.

BSc Mathematics

Minimum 50% aggregate in Class 12 exam or equivalent exam with Mathematics as one of the subjects.

S

Saumya Gairola

Contributor-Level 10

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