# Bachelor of Science (Research)

**Source**: https://bs-ug.iisc.ac.in/minors/mathematics
**Parent**: https://bs-ug.iisc.ac.in/

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Minor in Mathematics

# Mathematics

Develop a strong foundation in pure and applied mathematics, diving deep into analysis, algebra, and advanced mathematical structures.

## Overview

The Mathematics Minor is structured for students who want to build rigorous analytical skills. The curriculum includes advanced fundamentals in mathematical analysis, algebraic structures, and multivariable calculus, supplemented by a diverse set of pure and applied math electives.

## Curriculum Structure

### Credit Requirement for Minor: 15 Credits Total

CORE COURSES AND ELECTIVES SELECTED FROM THE LISTS PROVIDED BELOW

### Core Courses

Required

| Course Code | Course Name | Semester |
| --- | --- | --- |
| UM 204 (3:1) | Introduction to Basic Analysis | IV |
| UM 205 (3:1) | Introduction to Algebraic Structures | IV |
| MA 200 (3:1) | Multivariable Calculus | V |
| MA 212 (3:0) | Algebra I | V |
| MA 219 (3:1) | Linear Algebra | V |

\* Note: Either MA 200 or MA 219 can be taken.

### Electives Offered in August–December

| Course Code | Course Name | Instructor(s) |
| --- | --- | --- |
| MA 261 (3:0) | Probability Models | Manjunath Krishnapur |
| MA 223 (3:0) | Functional Analysis | Swarnendu Sil |
| MA 232 (3:0) | Introduction to Algebraic Topology | Harish Seshadri |
| MA 242 (3:0) | Partial Differential Equations | Arka Mallick |
| MA 312 (3:0) | Commutative Algebra | Bharathwaj Palvannan |
| MA 313 (3:0) | Algebraic Number Theory | Radhika Ganapathy |
| MA 315 (3:0) | Lie Algebras and their Representations | R. Venkatesh / Shushma Rani |
| MA 319A (3:0) | Schubert Calculus | Arvind Ayyer |
| MA 333 (3:0) | Riemannian geometry | Ved Datar |
| MA 339 (3:0) | Geometric Analysis | Vamsi Pritham Pingali |
| MA 341 (3:0) | Matrix Analysis and Positivity | Apoorva Khare |
| MA 361 (3:0) | Probability Theory | Srikanth K. Iyer |
| MA 380 (3:0) | Introduction to Complex Dynamics | Gautam Bharali |

### Electives Offered in January–April

| Course Code | Course Name | Instructor(s) |
| --- | --- | --- |
| MA 235 (3:0) | Introduction to differentiable manifolds | Subhojoy Gupta |
| MA 218 (3:0) | Number theory | Shaunak Deo |
| MA 220 (3:0) | Representation theory of finite groups | R Venkatesh |
| MA 222A (3:0) | Topics in Measure Theory | Arka Mallick |
| MA 237 (3:0) | Introduction to Tilings | Subhojoy Gupta |
| MA 262 (3:0) | Introduction to Stochastic Processes | Arvind Ayyer |
| MA 305 (3:0) | Lie Groups and Lie Algebras | Muna Naik |
| MA 319 (3:0) | Algebraic Combinatorics | Digjoy Paul / Arvind Ayyer |
| MA 321 (3:0) | Analysis III | A K Nandakumaran |
| MA 326 (3:0) | Fourier Analysis | Kalachand Shuin / E. K. Narayanan |
| MA 336A (3:0) | Introduction to Stochastic Finance | Srikanth K. Iyer |
| MA 340 (3:0) | Advanced Functional Analysis | E. K. Narayanan |
| MA 376 (3:0) | Extremal Combinatorics | Hiranya Kishore Dey / Arvind Ayyer |
| MA 379 (3:0) | Linear Algebraic Groups | Radhika Ganapathy |
| MA 347A (3:1) | Topics in Finite Element Methods | Thirupathi Gudi |