Bachelor of Science (Research)
Source: https://bs-ug.iisc.ac.in/course-structure/mathematics Parent: https://bs-ug.iisc.ac.in/
Bachelor of Science (Research) • Major
Mathematics
Basic Structure
The Mathematics major focuses on the core areas of modern mathematics, including algebra, analysis, topology, and geometry. The program is designed to develop rigorous mathematical thinking and problem-solving skills, preparing students for research in pure and applied mathematics. All students are required to complete a minimum of 131 credits to qualify for the Bachelor of Science (Research) degree.
| Basic Course (Sem 1-3) | Engineering (Sem 2-3) | Humanities (Sem 1-6) | Major and Project | Minor (Optional) | Electives (Assortment Courses) | Total |
|---|---|---|---|---|---|---|
| 40 | 6 | 9 | 51 | 15 | 10 - 25 | 131 |
| 25* |
NOTE:
- *Students not opting for a minor should fulfil 25 credits of assortment courses.
- To be eligible for a minor, a student should fulfil 15 credits from the minor pool.
- Excess credit(s) from any pool will be counted towards assortment credits.
Semester-wise Course Requirements
To view the common shared curriculum (Semesters 1-3), please click here.
Semester 4Semester 5Semester 6Semester 7Semester 8
| Course Code | Course Name | Instructor | Credits |
|---|---|---|---|
| UM 204 | Introduction to Basic Analysis | Muna Naik | 3:1 |
| UM 205 | Introduction to Algebraic Structures | Abhishek Banerjee | 3:1 |
| - | Humanities **/Elective | - | 9:12 |
| Reduced Load | 15-17 | ||
| Enhanced Load | 15-21 |
Note:
**
Humanities:
A. Humanities courses cannot be dropped in both semesters IV and V.
B. Students must complete 9 credits in humanities pool by the end of six semester.
Recommended Course Load
| Semester | Criteria | Credits |
|---|---|---|
| I | Student needs to register for a fixed number of credits | 18 |
| II | No CGPA and TGPA requirements | Min.: 17 and Max.: 21 |
| III | No CGPA and TGPA requirements | Min.: 17 and Max.: 21 |
| IV | CGPA < 8.0 | Min.: 15 and Max.: 17 |
| CGPA ≥ 8.0 | Min.: 15 and Max.: 21 | |
| V to VIII | CGPA < 8.0 or Preceding term TGPA < 8.0 | Min.: 16 and Max.: 18 |
| CGPA ≥ 8.0 or Preceding term TGPA ≥ 8.0 | Min.: 16 and Max.: 21 |
Suggested Core Electives:
Below is the list of core electives available for students majoring in Mathematics. These electives are offered by various departments under the relevant Sciences Department.
Note:
January–April Semester: Select courses offered in the January intake. These courses are designed for students beginning their studies at the start of the year.
August–December Semester: Select courses offered in the August intake, suitable for students starting in the second half of the year.
January - April SemesterAugust - December Semester
| Course Code | Title | Credits | Instructors |
|---|---|---|---|
| MA 235 | Introduction to Differentiable Manifolds | 3:0 | Subhojoy Gupta |
| MA 218 | Number Theory | 3:0 | Shaunak Deo |
| MA 220 | Representation Theory of Finite Groups | 3:0 | R Venkatesh |
| MA 222A | Topics in Measure Theory | 3:0 | Arka Mallick |
| MA 237 | Introduction to Tilings | 3:0 | Subhojoy Gupta |
| MA 262 | Introduction to Stochastic Processes | 3:0 | Arvind Ayyer |
| MA 305 | Lie Groups and Lie Algebras | 3:0 | Muna Naik |
| MA 319 | Algebraic Combinatorics | 3:0 | Digjoy Paul / Arvind Ayyer |
| MA 321 | Analysis III | 3:0 | A K Nandakumaran |
| MA 326 | Fourier Analysis | 3:0 | Kalachand Shuin / E. K. Narayanan |
| MA 336A | Introduction to Stochastic Finance | 3:0 | Srikanth K. Iyer |
| MA 340 | Advanced Functional Analysis | 3:0 | E. K. Narayanan |
| MA 376 | Extremal Combinatorics | 3:0 | Hiranya Kishore Dey / Arvind Ayyer |
| MA 379 | Linear Algebraic Groups | 3:0 | Radhika Ganapathy |
| MA 347A | Topics in Finite Element Methods | 3:1 | Thirupathi Gudi |
Continuing Master's Degree
Students have the option to continue for the Master of Science (MS) degree after completing four years of the Bachelor of Science (BS).
View 5th Year RequirementsHide 5th Year Requirements
Mandatory Courses
| Course Code | Course Name | Term |
|---|---|---|
| MA 389A (1:0) | Seminar on topics in mathematics I | AUG |
| MA 389B (1:0) | Seminar on topics in mathematics II | JAN |
| MA 213 (3:1) | Algebra II | JAN |
| MA 222 (3:1) | Analysis II | JAN |
Soft Core Requirement
Students must complete any 3 courses from the list below:
MA 223 (3:0): Functional Analysis
MA 232 (3:0): Intro to Algebraic Topology
MA 242 (3:0): Partial Differential Equations
MA 361 (3:0): Probability Theory
MA 235 (3:0): Intro to Differentiable Manifolds
MA 220 (3:0): Rep. Theory of Finite Groups
MA 312 (3:0): Commutative Algebra
MA 313 (3:0): Algebraic Number Theory
MA 262 (3:0): Intro to Stochastic Processes
MA 321 (3:0): Analysis III
Remaining Credits
13 Credits Requirement
The remaining 13 credits could be comprised of:
- Master’s projects A & B
- Courses offered by any department
- A combination of projects and courses