* The following document is being created on the basis of available information. In case of any discrepancies the senate mandated version will be final. Dean Academics office is the final authority in this matter. Several details are available on the Dean’s Office maintained website Rules & Guidelines.
Five Year Integrated BS-MS program.
Core Courses
Semester 1
| Number | Title | Credits |
|---|---|---|
| MTH101 | Basic Linear Algebra | 3 |
Semester 2
| Number | Title | Credits |
|---|---|---|
| MTH102 | Probability and Statistics | 3 |
Semester 3
| Number | Title | Credits |
|---|---|---|
| MTH201 | Differential and Integral Calculus | 3 |
| MTH202 | Elementary Number Theory | 3 |
| MTH203 | Sequences and Series | 2 |
Semester 4
| Number | Title | Credits |
|---|---|---|
| MTH204 | Symmetry | 3 |
| MTH205 | Analysis in one variable | 3 |
| MTH206 | Introduction to Ordinary Differential Equations | 2 |
Mathematics Major
Semester 5
Summer Internship: One summer internship of at least 8 weeks duration is mandatory for obtaining a BS-MS degree.
Research Year
Semester 9
| Number | Title | Credits |
|---|---|---|
| ****** | (Open Elective VII) | 4 |
| PRJ501-I | (Thesis Project I) | 8 |
| PRJ501-II | (Thesis Project II) |
Semester 10
| Number | Title | Credits |
|---|---|---|
| ****** | (Open Elective VIII) | 4 |
| PRJ502-I | (Thesis Project II) | 8 |
| PRJ502-II | (Thesis Project II) | 8 |
Integrated PhD Program
Semester 1
Semester 3
| Number | Title | Credits |
|---|---|---|
| MTH401 | Ordinary Differential Equations | 4 |
| MTH402 | Functional Analysis | 4 |
| MTH403 | Fields and Galois Theory | 4 |
| MTH*** | One of 404/405/406 | 4 |
| ****** | (Open Elective III) | 4 |
Odd Semester Electives
– MTH404: Commutative and Homological Algebra
– MTH405: Probability Theory
– MTH406: Manifolds
Semester 4
| Number | Title | Credits |
|---|---|---|
| MTH*** | One of 407/408/409 | 4 |
| ****** | (Open Elective IV) | 4 |
| ****** | (Open Elective V) | 4 |
| IDC452 | Presentation Skills | 2 |
| AND | ||
| ****** | (Open Elective VI) | 4 |
| PRJ401 | (One Sem Project) | 2 |
| OR | ||
| PRJ406 | (One Sem Project) | 6 |
Even Semester Electives
– MTH407: Partial Differential Equations
– MTH408: Algebraic Topology
– MTH409: Discrete Mathematics
Note: Normally, after coursework Integrated PhD students continue to PhD: they should qualify a comprehensive examination to be conducted by a committee headed by the potential supervisor to qualify for the same. However they may instead opt to submit a Master’s thesis (additional year) instead of a PhD thesis subject to the guidelines of senate. Please consult Dean Academics office for details and specific requirements.
PhD Program
The program entails two semesters of coursework followed by a comprehensive examination to be conducted by a committee headed by the potential supervisor qualifying which enables the candidate to start with their PhD. There is a minimum CPI that is required to be maintained in the coursework, and other performance requirements for a candidate to be eligible for writing the comprehensive. Courses include:
(Senate Mandated)
(Mandatory, 4 credit each) Topical courses: MTH601 (Algebra) MTH602 (Topology) MTH605 (Analysis).
(Seminar, 2 credit each) MTH603, MTH606: also tied with department mandated reading courses.
(Elective, 4 credit each) Two from MTH4**/MTH6** electives as offered.
(Department Mandated) Three of (Two-month reading course).
Performance will be tied to the credit of seminar courses, these are also treated as en-route to finding a potential supervisor.