IIT Bombay M.Sc Mathematics Syllabus Semester-Wise: Detailed Course Structure and Curriculum
Discover the IIT Bombay M.Sc Mathematics syllabus, including core subjects and project details, structured across four semesters. Also learn about the list of prescribed elective courses for the second year!
IIT Bombay M.Sc Mathematics Syllabus Semester-Wise: The Department of Mathematics at IIT Bombay offers a 2-year MSc program in Mathematics, which is available to both domestic and international students. The program is divided into four semesters, each designed to equip students with advanced mathematical knowledge and skills. Candidates can check here the semester-wise syllabus and a detailed overview of the curriculum for MSc Mathematics at IIT Bombay.
IIT Bombay M.Sc Mathematics 2025 Syllabus and Curriculum
MSc Mathematics program at IIT Bombay is a four-semester course that includes both compulsory and elective subjects. Student’s performance is evaluated continuously each semester through quizzes, class tests, and mid- and end-semester exams. In addition to regular coursework, students have the option to undertake a one-year research project during their second year. The semester-wise IIT Bombay M.Sc Mathematics syllabus and curriculum is discussed in the sections below.
IIT Bombay M.Sc Mathematics Syllabus Semester-Wise: First Semester
The table below provides the IIT Bombay MSc Maths syllabus semester-wise for the first semester, along with the course code and total credits:
| Course Name | L | T | P | C |
|---|---|---|---|---|
| CS101 Computer Programming & Utilization | 2 | 0 | 2 | 6 |
| MA 401 Linear Algebra | 3 | 1 | 0 | 8 |
| MA 403 Real Analysis | 3 | 1 | 0 | 8 |
| MA 417 Ordinary Differential Equations | 3 | 1 | 0 | 8 |
| MA 419 Basic Algebra | 3 | 1 | 0 | 8 |
| Total Credits | 14 | 4 | 2 | 38 |
IIT Bombay M.Sc Mathematics Syllabus Semester-Wise: Second Semester
The table below provides the IIT Bombay MSc Maths syllabus semester-wise for the second semester, along with the course code and total credits:
| Course Name | L | T | P | C |
|---|---|---|---|---|
| MA 406 General Topology | 3 | 1 | 0 | 8 |
| MA 408 Measure Theory | 3 | 1 | 0 | 8 |
| MA 410 Multivariable Calculus | 2 | 1 | 0 | 6 |
| MA 412 Complex Analysis | 3 | 1 | 0 | 8 |
| MA 414 Algebra I | 3 | 1 | 0 | 8 |
| Total Credits | 14 | 5 | 0 | 38 |
IIT Bombay M.Sc Mathematics Syllabus Semester-Wise: Third Semester
The table below provides the IIT Bombay MSc Maths syllabus semester-wise for the third semester, along with the course code and total credits:
| Course Name | L | T | P | C |
|---|---|---|---|---|
| MA 503 Functional Analysis | 3 | 1 | 0 | 8 |
| MA 515 Partial differential Equations | 3 | 1 | 0 | 8 |
| Elective I | 2 | 1 | 0 | 6 |
| Elective II | 2 | 1 | 0 | 6 |
| Elective III | 2 | 1 | 0 | 6 |
| MA 593 Project I (Optional) | - | - | - | 4 |
| Total Credits | 12 | 5 | 0 | 34 |
IIT Bombay M.Sc Mathematics Syllabus Semester-Wise: Fourth Semester
The table below provides the IIT Bombay MSc Maths syllabus semester-wise for the fourth semester, along with the course code and total credits:
| Course Name | L | T | P | C |
|---|---|---|---|---|
| ES 200/ HS 200 Environmental Science/ Dept. Elective/Institute Elective | -- | -- | -- | 6 |
| Elective IV | 2 | 1 | 0 | 6 |
| Elective V | 2 | 1 | 0 | 6 |
| Elective VI | 2 | 1 | 0 | 6 |
| Elective VII | 2 | 1 | 0 | 6 |
| MA 598 Project II/Dept. Elective/Institute Elective | - | - | - | 6 |
| Total Credits | 11 | 4 | 0 | 36 |
IIT Bombay M.Sc Mathematics Syllabus: Elective Courses
In the third semester of MSc Mathematics at IIT Bombay, students need to select three electives. For the fourth semester, they are required to choose four electives. This adds up to a total of seven electives over the two semesters. This section provides details on the list of prescribed electives for both the odd and even semesters, including any project options for the program.
IIT Bombay M.Sc Mathematics: List of Elective Courses I-III
The elective courses available for the third semester in the M.Sc. Mathematics program at IIT Bombay include:
| Course Name | L | T | P | C |
|---|---|---|---|---|
| MA 521 Theory of Analytic Functions | 2 | 1 | 0 | 6 |
| MA 523 Basic Number Theory | 2 | 1 | 0 | 6 |
| MA 525 Dynamical Systems | 2 | 1 | 0 | 6 |
| MA 533 Advanced Probability Theory | 2 | 1 | 0 | 6 |
| MA 538 Representation Theory of Finite Groups | 2 | 1 | 0 | 6 |
| MA 539 Spline Theory and Variational Methods | 2 | 1 | 0 | 6 |
| MA 556 Differential Geometry | 2 | 1 | 0 | 6 |
| MA 581 Elements of Differential Topology | 2 | 1 | 0 | 6 |
| SI 507 Numerical Analysis | 3 | 1 | 0 | 8 |
| MA5101 Algebra II | 2 | 1 | 0 | 6 |
| MA5103 Algebraic Combinatorics | 2 | 1 | 0 | 6 |
| MA5105 Coding Theory | 2 | 1 | 0 | 6 |
| MA5107 Continuum Mechanics | 2 | 1 | 0 | 6 |
| MA5109 Graph Theory | 2 | 1 | 0 | 6 |
IIT Bombay M.Sc Mathematics: List of Elective Courses IV-VII
The elective courses available for the fourth semester in the M.Sc. Mathematics program at IIT Bombay include:
| Course Name | L | T | P | C |
|---|---|---|---|---|
| MA 504 Operators on Hilbert Spaces | 2 | 1 | 0 | 6 |
| MA 510 Introduction to Algebraic Geometry | 2 | 1 | 0 | 6 |
| MA 518 Spectral Approximation | 2 | 1 | 0 | 6 |
| MA 524 Algebraic Number Theory | 2 | 1 | 0 | 6 |
| MA 526 Commutative Algebra | 2 | 1 | 0 | 6 |
| MA 530 Nonlinear Analysis | 2 | 1 | 0 | 6 |
| MA 532 Analytic Number Theory | 2 | 1 | 0 | 6 |
| MA 534 Modern Theory of PDE | 2 | 1 | 0 | 6 |
| MA 540 Numerical Methods for PDE | 2 | 1 | 0 | 6 |
| MA 562 Mathematical Theory of Finite Elements | 2 | 1 | 0 | 6 |
| SI 416 Optimization | 2 | 1 | 0 | 6 |
| SI 527 Introduction to Derivative Pricing | 2 | 1 | 0 | 6 |
| MA5102 Basic Algebraic Topology | 2 | 1 | 0 | 6 |
| MA5104 Hyperbolic Conservation Laws | 2 | 1 | 0 | 6 |
| MA5106 Introduction to Fourier Analysis | 2 | 1 | 0 | 6 |
| MA5108 Lie Groups and Lie Algebra | 2 | 1 | 0 | 6 |
| MA5110 Noncommutative Algebra | 2 | 1 | 0 | 6 |
| MA5112 Introduction to Math. Methods | 2 | 1 | 0 | 6 |
Candidates can check and download the IIT Bombay M Sc Mathematics syllabuspdf here!
IIT Bombay M.Sc Mathematics Eligibility
Although the university has not established specific eligibility criteria, candidates must have completed a Bachelor's degree from a recognized institute or university. Candidates currently in their final year of an undergraduate program are also eligible to apply.
Admissions to the 2-year MSc programs at IIT Bombay are conducted through JAM 2025. For MSc Mathematics, JAM is desirable but not mandatory. As per the latest notification, IIT JAM 2025 registrationshave now begun! Candidates can submit their online applications until October 11, 2024.
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FAQs
What is the structure of the IIT Bombay M.Sc Mathematics program?
The M.Sc Mathematics program at IIT Bombay is structured over four semesters, combining core subjects and elective courses, along with a one-year research project option in the second year. The program includes a diverse range of subjects, including Linear Algebra, Real Analysis, Differential Equations, and Multivariable Calculus.
What are the core subjects in the first year of the M.Sc Mathematics program at IIT Bombay?
The first year includes courses such as:
- Computer Programming & Utilization
- Linear Algebra
- Real Analysis
- Ordinary Differential Equations
- Basic Algebra
- General Topology
- Measure Theory
- Multivariable Calculus
- Complex Analysis
- Algebra I
What elective courses are available in the M.Sc Mathematics program of IIT Bombay?
Students can choose from a variety of electives in the third and fourth semesters, including topics like:
- Theory of Analytic Functions
- Advanced Probability Theory
- Differential Geometry
- Numerical Analysis
- Coding Theory
- Operators on Hilbert Spaces
- Algebraic Number Theory
- Nonlinear Analysis
- Modern Theory of PDE
- Hyperbolic Conservation Laws
Can international students apply for M.Sc Mathematics at IIT Bombay?
Yes, international students can apply by meeting specific criteria, including having a degree from a foreign university and proficiency in English.
What are the eligibility criteria for the M.Sc Mathematics at IIT Bombay?
For admission to MSc Mathematics at IIT Bombay:
- Candidates must have completed a Bachelor's degree from a recognized institute or university. Candidates currently in their final year of an undergraduate program are also eligible to apply.
- Admissions to the 2-year MSc programs at IIT Bombay are conducted through JAM 2025. For MSc Mathematics, JAM is desirable but not mandatory.