* 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 (also see legacy webpage: rules & guidelines).
** About course numbers:
– For MTH courses (and department managed IDC courses) you can click the course numbers below to see the corresponding course content.
– Note that sometimes the linked page may have a different (inaccurate) course number since the linked page refers to a course that was earlier named differently. It is the content of the course that is intended to be linked in such cases.
– In ERP each course will carry a “v.2” suffix to indicate it is the latest one.
Please inform the webmaster of any inaccuracies.
Five Year Integrated BS-MS program.
Core Courses
Semester 1
| Number | Title | Credits |
|---|---|---|
| HSS101 | Language Skills | 2 |
| IDC101 | Introduction to Programming | 2 |
| BIO101 | The basis and diversity of life | 3 |
| BIO111 | Biology lab 1 | 1 |
| CHM101 | Basic inorganic chemistry | 3 |
| CHM111 | Chemistry lab 1 | 1 |
| PHY101 | Mechanics | 3 |
| PHY111 | Physics lab 1 | 1 |
| MTH101 | Basic Linear Algebra | 3 |
Semester 2
| Number | Title | Credits |
|---|---|---|
| HSS102 | Concepts in humanities and social sciences | 2 |
| EES102 | Introduction to environmental sciences | 2 |
| BIO102 | Genetics and evolution | 3 |
| BIO112 | Biology lab 2 | 1 |
| CHM102 | Basic organic chemistry | 3 |
| CHM112 | Chemistry lab 2 | 1 |
| PHY102 | Electromagnetism | 3 |
| PHY112 | Physics lab 2 | 1 |
| MTH102 | Probability and Statistics | 3 |
Pre-major year
Semester 3
Available pre-majors: Mathematics MTH / Physics PHY / Chemistry CHM / Biology BIO / Earth & Environmental Sciences EES.
Mathematics Major
Semester 5
Semester 7
| 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 |
| MTH*** | Departmental Elective | 4 |
| ****** | (Open Elective III) | 4 |
Odd Semester Electives
– MTH404: Commutative and Homological Algebra
– MTH405: Probability Theory
– MTH406: Manifolds
Semester 8
| Number | Title | Credits |
|---|---|---|
| MTH*** | One of 409/410/440 | 4 |
| MTH*** | Departmental Elective | 4 |
| MTH*** | Departmental Elective | 4 |
| MTH*** | Departmental Elective | 4 |
| ****** | (Open Elective IV) | 4 |
| IDC452 | Presentation Skills | 2 |
Even Semester Electives
– MTH409: Discrete Mathematics
– MTH410: Algebraic Topology
– MTH440: Partial Differential Equations
Summer Internship: One summer internship of at least 8 weeks duration is mandatory for obtaining a BS-MS degree.
Research Year
Semester 9
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 |
| MTH*** | Departmental Elective | 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 409/410/440 | 4 |
| MTH*** | Departmental Elective | 4 |
| MTH*** | Departmental Elective | 4 |
| IDC452 | Presentation Skills | 2 |
| AND | ||
| ****** | (Open Elective IV) | 4 |
| PRJ401 | (One Sem Project) | 2 |
| OR | ||
| PRJ406 | (One Sem Project) | 6 |
Even Semester Electives
– MTH409: Discrete Mathematics
– MTH410: Algebraic Topology
– MTH440: Partial Differential Equations
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) IDC601, IDC602: 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.