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PG Programmes

M.Sc in Mathematics

Overview

Department of M.Sc in Mathematics has been an integral part of the institute since its inception in 2001. Known for its commitment to quality education and impactful research, the department has made consistent contributions across various domains of science and technology. The Department introduced its postgraduate program, Master of Science (M.Sc.) in Mathematics, in the session 2019-2020 to cater to the needs of the aspiring undergraduate students who want to advance their knowledge in mathematics and explore opportunities in academia, research, and industry. 

This two-year M.Sc in mathematics program is structured to develop strong analytical and logical thinking skills among students, nurturing their passion for mathematics. It offers an in-depth curriculum covering core areas such as algebra, real and complex analysis, topology, differential equations, numerical analysis, probability and statistics. In addition to the foundational subjects, students are exposed to specialized topics that highlight the applications of mathematics in various scientific and technological contexts. The curriculum ensures a balance between theoretical learning and practical problem-solving skills, preparing students for both academic research and professional careers.

The faculty members of the department are actively engaged in diverse research areas and have collectively published a significant number of research papers in esteemed international journals and conference proceedings. Their work spans multiple domains including pure mathematics, applied mathematics, computational techniques, optimization, mathematical modeling, fuzzy systems, and soft computing. This research culture provides students with opportunities to engage in project work and collaborative research, enhancing their academic growth and critical thinking.

To support the holistic development of students, the department regularly hosts academic events such as workshops, seminars, conferences and faculty development programs. These are often funded by reputed government agencies such as CSIR, SERB, and DRDO, offering students exposure to new ideas, tools, and developments in mathematical sciences.

A distinctive feature of the M.Sc. Mathematics program is the option to pursue a Certificate Course in Data Analytics. This course, comprising an additional 9 credits beyond the regular 80-credit M.Sc. curriculum, is designed to equip students with essential skills in data analysis and interpretation. With the growing demand for data-literate professionals, this added qualification strengthens the students’ profiles for roles in industry, research, and analytics-driven domains.

In addition to academic instruction, the department conducts career guidance sessions specifically tailored for M.Sc. students. These sessions are led by faculty members and alumni who share valuable tips on preparing for national-level competitive exams such as CSIR-UGC-NET, GATE, and others. Through these interactions, students gain practical insights and mentorship to better plan their future academic and professional journeys.

In essence, the M.Sc in Mathematics program offers a well-rounded education that combines rigorous academic training, research exposure, skill development, and career readiness. It provides an excellent platform for students to deepen their understanding of mathematics while developing the expertise needed to succeed in today’s knowledge-driven world.

Curriculum Structure
First Semester
S. No.Course CodeCourse TitleContact HoursCredit
LTPTotal
119M21MA111Department Core-1 (Ordinary Differential Equations)31-44
219M21MA112Department Core-2 (Real Analysis)31-44
319M21MA113Department Core-3 (Abstract Algebra)31-44
419M21MA114Department Core-4 (General Topology)31-44
519M21MA115Department Core-5 (Mathematical Methods)31-44
619M21HS111Presentation and Communication Skills *2--2Audit
 Total17502220
Second Semester
S. No.Course CodeCourse TitleContact HoursCredit
LTPTotal
119M21MA116Department Core-6 (Linear Algebra)31-44
219M21MA211Department Core-7 (Mathematical Statistics)31-44
319M21MA119Department Core-8 (Functional Analysis)31-44
419M21MA120Department Core-9 (Partial Differential Equations)31-44
519M21MA118Department Core-10 (Computer Programming)3--33
619M25MA111Department Lab-I (Computer Programming Lab)--221
7xxxxxxxxDE-I3--33
 Total18422423
Third Semester
S. No.Course CodeCourse TitleContact HoursCredit
LTPTotal
119M21MA117Department Core-11 (Complex Analysis)31-44
219M21MA212Department Core-12** (Numerical Analysis)3--33
319M21MA213Department Core-13 (Operations Research)3--33
4xxxxxxxxDE-II3--33
5xxxxxxxxDE-III3--33
6xxxxxxxxDE-IV3--33
7xxxxxxxxDE-V3--33
819M25MA212Department Lab-II (Operations Research Lab)--221
919M25MA211Department Core Lab-III** (Numerical Analysis Lab)--221
 Total21142624
Fourth Semester
S. No.Course CodeCourse TitleContact HoursCredit
LTPTotal
1xxxxxxxxDE-VI3--33
225M17MA211 / 19M27MA211Industrial Project Work / Dissertation--202010
 Total3-202313

Total Credits: 80

* Audit course can be one or more of zero credit and in 1-0-2, 2-0-0, or 0-0-2 mode.

** The Department Core includes theory of 3 credits and lab of 1 credit OR theory of 4 credits.

Department Electives (DE)
S. No.DE-IDE-IIDE-III
1.Advanced Matrix TheoryFluid Dynamics
(22M22MA211)
Fuzzy Sets and Applications
2.Measure TheoryWave PropagationData Structures
3.Differential Geometry & TensorsContinuum MechanicsMultivariate Analysis
S. No.DE-IVDE-VDE-VI
1.Wavelet Theory & Its ApplicationsAdvanced Numerical MethodsTheory of Data Science
2.Number TheoryTheory of Computation
(21M22MA217)
Linear Models and Regression Analysis
3.Graph TheoryDatabase Management SystemMathematical Imaging
4.Advanced Operations Research

Note: At the beginning of the respective semesters, the department will announce the list of elective courses to be offered during the semester.

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