Subjects in M.Sc Mathematics: Semester Curriculum & Electives
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- 27 Oct 2026NTA releases CUET PG 2027 exam dates
National Testing Agency (NTA) has released the exam schedule for CUET PG 2027 for admissions to postgraduate courses including M.Sc Mathematics.
M.Sc Mathematics is a 2-year postgraduate degree comprising 83 total credits across 4 semesters, divided into 47 core credits, 21 program elective credits, 3 open elective credits, and 12 dissertation credits. Core subjects cover Algebra, Topology, Real Analysis, Complex Analysis, Functional Analysis, Differential Equations, Differential Geometry, and Measure & Integration.
With total course fees ranging between INR 30,000 and INR 4,00,000 across Indian institutions, this program prepares students for research, computational analysis, and academic roles. Below is the detailed breakdown of semester-wise core subjects, elective tracks, practical projects, entrance exam syllabi, standard reference books, and institutional fee structures.
| Parameter | Details |
|---|---|
| Course Duration | 2 years (4 semesters) |
| Total Credits | 83 credits (47 Core, 21 Electives, 3 Open Electives, 12 Dissertation) |
| Eligibility | Minimum 50% aggregate score in graduation with English and Mathematics as compulsory subjects |
| Course Fees | INR 30,000 – INR 4,00,000 |
| Top Entrance Exams | IIT JAM, CUET PG (CUCET), NEST, LPUNEST |
| Top Colleges | Miranda House, Hindu College, Hans Raj College, Loyola College, Madras Christian College, Stella Maris College |
M.Sc Mathematics Entrance Exam Syllabus
| Exam Section | Key Topics Covered |
|---|---|
| Part A (General Skills) | English Language, General Awareness, Mathematical Aptitude, Analytical Skills |
| Part B (Core Mathematics) | Algebra, Real Analysis, Complex Analysis, Integral Calculus, Differential Equations, Vector Calculus, Linear Programming |
| DU Entrance Special Topics | Set Theory, Sequences & Series, Bolzano-Weierstrass Theorem, Metric Spaces, Cayley-Hamilton Theorem, Group & Ring Theory |
The entrance examination features Part A covering general skills alongside Part B focusing on core subjects like algebra, calculus, and differential equations. Additionally, the DU entrance test evaluates topics such as set theory, metric spaces, Cayley-Hamilton theorem, and group theory.
M.Sc Mathematics Colleges and Fees
In India, at least 1680 colleges offer M.Sc Mathematics, including 211 government institutions and 652 private institutions. For government colleges, the median total course fee stands at ₹31,887, with the middle half ranging between ₹13,356 and ₹53,448 (based on fee data from 118 government colleges). Private institutions have a median total course fee of ₹50,200, with the middle half between ₹34,010 and ₹80,000 (based on fee data from 383 private colleges).
State-wise institutional density shows Tamil Nadu leading with 347 colleges, followed by Uttar Pradesh with 149, Kerala with 110, Rajasthan with 104, Maharashtra with 97, and Madhya Pradesh with 89 colleges. Across 58 institutions reporting graduate placement statistics, the median average placement package is 2.75 LPA.
| College | City | Ownership | Total course fee | NIRF rank |
|---|---|---|---|---|
| Indian Institute of Science | Bangalore | — | ₹89,200 | 1 (Overall, 2025) |
| Indian Institute of Technology Madras | Chennai | Government | ₹40,800 | 1 (Overall, 2025) |
| Hindu College New Delhi | Delhi | University | ₹55,510 | 1 (Overall, 2025) |
| Miranda House | Delhi | Government | ₹32,060 | 2 (Overall, 2025) |
| Jawaharlal Nehru University | Delhi | Government | — | 2 (Overall, 2025) |
| Hans Raj College | Delhi | Government | ₹53,425 | 3 (Overall, 2025) |
| Punjab Agricultural University | Ludhiana | — | ₹1.34 lakh | 3 (Overall, 2025) |
| Indian Institute of Technology Bombay | Mumbai | Government | ₹45,400 | 3 (Overall, 2024) |
| Manipal University Manipal | Manipal | — | ₹1.78 lakh | 3 (Overall, 2025) |
| Kirori Mal College | Sonipat | Private | ₹33,366 | 4 (Overall, 2025) |
| College | City | Ownership | Total course fee |
|---|---|---|---|
| Periyar EVR College, Khajamalai | Tiruchirappalli | Government | ₹5,120 |
| Institute of Science | Nagpur | Government | ₹5,440 |
| Government Model Science College | Gwalior | Government | ₹5,470 |
| Government Arts and Science College, Kondotty | Malappuram | Government | ₹5,690 |
| Thunchan Memorial Government College | Tirur | Government | ₹5,690 |
| Government College Chittur | Chittur | Government | ₹5,690 |
| Rajendra College Chapra | Chapra | Government | ₹6,000 |
| Takshashila Mahavidyalaya | Amravati | Government | ₹6,098 |
| Kunthavai Naacchiyar Government Arts College for Women | Thanjavur | Government | ₹6,482 |
| Government Victoria College | Palakkad | Government | ₹6,585 |
Books for M.Sc Mathematics
| Subject / Domain | Book Title | Author(s) |
|---|---|---|
| Abstract Algebra | Topics in Algebra | I.N. Herstein |
| Abstract Algebra | Abstract Algebra | David S. Dummit, Richard M. Foote |
| Linear Algebra | Linear Algebra: A Geometrical Approach | S. Kumaresan |
| Real Analysis | Introduction to Real Analysis | Robert G. Bartle, Donald R. Sherbert |
| Topology | Introduction to Topology and Modern Analysis | George F. Simmons |
| Graph Theory | Introduction to Graph Theory | Douglas B. West |
| Complex Analysis | The Elements of Complex Analysis | B. Chaudhary |
| Measure Theory | Measure Theory and Integration | G. de Barra |
| Programming | The Quick Python Book | Vernon L. Ceder |
Standard reference textbooks cover core first-year subjects including Abstract Algebra, Real Analysis, Topology, and Complex Analysis. These recommended reads assist M.Sc Mathematics students in building strong analytical foundations across primary mathematical domains.
How to Apply for M.Sc Mathematics Admission in 2026: Step by Step
- Check Eligibility: Ensure completion of graduation with at least a 50% aggregate score, having studied English and Mathematics as compulsory subjects.
- Register for Entrance Exam: Apply for relevant postgraduate entrance tests such as IIT JAM, CUCET, or NEST for entrance-based admissions.
- Appear for Entrance Examination: Take the exam covering Part A (English, General Awareness, Aptitude) and Part B core topics like Algebra, Real Analysis, Complex Analysis, and Differential Equations.
- Participate in Counselling / Merit List: Apply to target institutions such as Miranda House, Hindu College, or Hans Raj College based on entrance test scores or graduation merit.
- Submit Documents and Pay Course Fee: Verify academic documents and complete final enrollment by paying course fees ranging between INR 30,000 and INR 4,00,000.
| What to do | Where | Link |
|---|---|---|
| Compare colleges, fees and cutoffs | M.Sc Mathematics colleges in India | findmycollege.com |
M.Sc Mathematics admissions are conducted through entrance exams or merit-based selection. Total course fees across institutions in India range between INR 30,000 and INR 4,00,000.
FAQs
How many subjects are in M.Sc Mathematics?
M.Sc Mathematics requires a total of 83 credits across 4 semesters. This includes core modules (47 credits), program electives (21 credits), open electives (3 credits), and dissertation work (12 credits).
What are the core subjects in M.Sc Mathematics 1st year?
First-year subjects include Algebra – I & II, Topology – I & II, Real Analysis, Complex Analysis, Ordinary & Partial Differential Equations, Functional Analysis, and Mathematical Modelling & Numerical Analysis – I.
What subjects are taught in M.Sc Mathematics 2nd year?
Second-year subjects include Differential Geometry, Mathematical Methods, Numerical Analysis – II, Fluid Mechanics, Measure and Integration, along with 6 departmental elective papers and a dissertation research project.
What is covered in the M.Sc Mathematics entrance exam syllabus?
The entrance syllabus includes Part A (English, General Awareness, Aptitude) and Part B core math topics: Algebra, Real & Complex Analysis, Integral Calculus, Differential Equations, Vector Calculus, and Linear Programming.
What are the eligibility criteria for M.Sc Mathematics?
Candidates must hold a Bachelor’s degree with a minimum of 50% aggregate marks from a recognised institution, having studied English and Mathematics as compulsory subjects during their undergraduate degree programme.
What is the tuition fee for M.Sc Mathematics in India?
Course fees for M.Sc Mathematics range between INR 30,000 and INR 4,00,000 across government and private institutions in India. Government colleges have a median fee of ₹31,887 while private colleges median is ₹50,200.
