Bachelor of Science (Research)
Source: https://bs-ug.iisc.ac.in/minors/mathematics Parent: https://bs-ug.iisc.ac.in/
BackMinor Disciplines
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 |