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Bachelor of Science (Research)

Indian Institute of Science Bangalore
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 ProjectMinor
(Optional)
Electives
(Assortment Courses)
Total
4069511510 - 25131
25*

NOTE:

  1. *Students not opting for a minor should fulfil 25 credits of assortment courses.
  2. To be eligible for a minor, a student should fulfil 15 credits from the minor pool.
  3. 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.

Course CodeCourse NameInstructorCredits
Muna Naik3:1
Abhishek Banerjee3:1
Humanities **/
-9:12
Reduced Load15-17
Enhanced Load15-21
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

SemesterCriteriaCredits
IStudent needs to register for a fixed number of credits18
IINo CGPA and TGPA requirementsMin.: 17 and Max.: 21
IIINo CGPA and TGPA requirementsMin.: 17 and Max.: 21
IVCGPA < 8.0Min.: 15 and Max.: 17
CGPA ≥ 8.0Min.: 15 and Max.: 21
V to VIIICGPA < 8.0 or Preceding term TGPA < 8.0Min.: 16 and Max.: 18
CGPA ≥ 8.0 or Preceding term TGPA ≥ 8.0Min.: 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.

Course CodeTitleCreditsInstructors
MA 235Introduction to Differentiable Manifolds3:0Subhojoy Gupta
MA 218Number Theory3:0Shaunak Deo
MA 220Representation Theory of Finite Groups3:0R Venkatesh
MA 222ATopics in Measure Theory3:0Arka Mallick
MA 237Introduction to Tilings3:0Subhojoy Gupta
MA 262Introduction to Stochastic Processes3:0Arvind Ayyer
MA 305Lie Groups and Lie Algebras3:0Muna Naik
MA 319Algebraic Combinatorics3:0Digjoy Paul / Arvind Ayyer
MA 321Analysis III3:0A K Nandakumaran
MA 326Fourier Analysis3:0Kalachand Shuin / E. K. Narayanan
MA 336AIntroduction to Stochastic Finance3:0Srikanth K. Iyer
MA 340Advanced Functional Analysis3:0E. K. Narayanan
MA 376Extremal Combinatorics3:0Hiranya Kishore Dey / Arvind Ayyer
MA 379Linear Algebraic Groups3:0Radhika Ganapathy
MA 347ATopics in Finite Element Methods3:1Thirupathi 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 Requirements

Mandatory Courses

Course CodeCourse NameTerm
MA 389A (1:0)Seminar on topics in mathematics IAUG
MA 389B (1:0)Seminar on topics in mathematics IIJAN
MA 213 (3:1)Algebra IIJAN
MA 222 (3:1)Analysis IIJAN

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