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*		131

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.

Course Code	Course Name	Instructor	Credits
		Muna Naik	3:1
		Abhishek Banerjee	3:1
	Humanities **/	-	9-12
Reduced Load			15-17
Enhanced Load			15-21

For more detailed information, please refer to the Student Handbook.

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
IV	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
V to VIII	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.

Course Code	Title	Credits
MA 213	Algebra II	3:1
MA 222	Analysis II	3:1
MA 218	Number Theory	3:0
MA 220	Representation theory of Finite groups	3:0
MA 222A	Topics in Measure Theory	3:0
MA 223	Functional Analysis	3:0
MA 232	Introduction to Algebraic Topology	3:0
MA 235	Introduction to differentiable manifolds	3:0
MA 237	Introduction to Tilings	3:0
MA 242	Partial Differential Equations	3:0
MA 262	Introduction to Stochastic Processes	3:0
MA 305	Analysis on Lie Groups	3:0
MA 312	Commutative Algebra	3:0
MA 313	Algebraic Number Theory	3:0
MA 315	Lie Algebra and their representations	3:0
MA 319	Algebraic Combinatorics	3:0
MA 319A	Schubert calculus	3:0
MA 321	Analysis III	3:0
MA 326	Fourier Analysis	3:0
MA 333	Riemannian Geometry	3:0
MA 339	Geometric Analysis	3:0
MA 340	Advanced Functional Analysis	3:0
MA 341	Matrix Analysis and Positivity	3:0
MA 347A	Topics in Finite Element Methods	3:1
MA 361	Probability theory	3:0
MA 376	Extremal Combinatorics	3:0
MA 379	Linear Algebraic Groups	3:0
MA 380	Introduction to Complex Dynamics	3:0
UB 205	Introductory Physiology	2:0
UB 206	Experiments in Biochemistry and Physiology	0:2
UB 207	General Biochemistry	2:0
UB 301L	Experiments in Microbiology	0:1
UB 302	Developmental Biology	2:0
UB 303	Experiments in Molecular Biophysics	0:1
UB 304	Experiments in Neurobiology	0:1
UB 307L	Experiments in Ecology and Evolution	0:2
UB 309	Genetics	2:0
UC 207L	Instrumental Methods of Chemical Analysis Laboratory	0:1
UC 207T	Instrumental Methods of Chemical Analysis	2:0
UC 303	Basic Organometallic Chemistry	3:0
UC 402	Molecular Spectroscopy,Dynamics and Photochemistry	3:0
UCY 204	THERMODYNAMICS AND ELECTROCHEMISTRY	3:0
UCY 205	INORGANIC CHEMISTRY : CHEMISTRY OF ELEMENTS	3:0
UCY 206	BASIC ORGANIC REACTIONS	3:0
UCY 301	ORGANIC AND INORGANIC CHEMISTRY LABORATORY	0:3
UEES 206L	Experimental Methods in Environmental Chemistry Lab	0:1
UEES 206T	Experimental Methods in Environmental Chemistry	2:0
UEES 207	GEOPHYSICAL PROCESSES	3:0
UEES 208L	INTRODUCTION TO MINERALOGY AND PETROLOGY LAB	0:1
UEES 208T	INTRODUCTION TO MINERALOGY AND PETROLOGY	2:0
UEES 301L	Introduction to Earth System Laboratory	0:1
UEES 301T	Introduction to Earth System	2:0
UEES 313L	Lab: Experimental Methods In Environmental Engineering	0:1
UEES 313T	Experimental methods in Environmental Engineering	2:0
UENG 101L	Algorithms And Programming Laboratory	0:1
UENG 101T	Algorithms And Programming	3:0
UENG 102L	Introduction to Electrical and Electronics Engineering Laboratory	0:1
UENG 102T	Introduction To Electrical And Electronics Engineering	3:0
UENG 206	Introduction to Mechanical Engineering	3:0
UES 314	DESIGN PRINCIPLES IN ENVIRONMENTAL ENGINEERING	3:0
UI 202	In-Semester Project	0:1
UI 301	In-semester Project	0:1
UI 302	In-Semester Project	0:1
UMC 102	Computer Systems	3:0
UMC 103	Discrete Mathematics	2:0
UMC 201	Data Structures and Algorithms	3:1
UMC 202	Numerical Methods	3:1
UMC 203	Introduction to Artificial Intelligence and Machine Learning	3:1
UMC 205	Automata and Computability	3:1
UMC 301	Applied Data Science and Artificial Intelligence	3:1
UMT 202L	Structure of Materials Laboratory	0:1
UMT 202T	Structure of Materials	2:0
UMT 203	Materials Thermodynamics	3:0
UMT 205	Mechanical Properties of Materials	3:0
UMT 301	Materials Kinetics	3:0
UMT 302L	Materials Processing Lab	0:1
UMT 302T	Introduction To Materials Processing	2:0
UMT 309	Functional Properties of Materials	3:0
UMT 310L	Introduction to Materials Manufacturing Laboratory	0:1
UMT 310T	Introduction to Materials Manufacturing	2:0
UMT 311	Functional Property Characterization Laboratory	0:1
UMT 312L	Mechanical Testing Lab	0:1
UMT 312T	Mechanical Testing And Failure Of Materials	2:0
UMT 401	Functional Properties of Materials II	3:0
UP 202L	Intermediate Mechanics, Oscillations and Waves Laboratory	0:1
UP 202T	Intermediate Mechanics, Oscillations and Waves	2:0
UP 203L	Intermediate Electromagnetism and the Quantum Physics of Radiation Laboratory	0:1
UP 203T	Intermediate Electromagnetism and the Quantum Physics of Radiation	2:0
UP 204L	Intermediate Thermal Physics and the Physics of Materials Laboratory	0:1
UP 204T	Intermediate Thermal Physics and the Physics of Materials	2:0

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 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