DEPARTMENT OF MATHEMATICS

UNIVERSITY OF KASHMIR, SRINAGAR-190006

                Jammu and Kashmir, India    (NAAC Accredited Grade A++ University)

Structure & Syllabus for 2-Year/1-Year Master’s Program in Mathematics

Batch (2026 and onwards)

NCrf Credit Level

Semester

Core Papers (Core Course/ Elective)

Course Level

Credits

Total Credits

Max. Marks

Course Name and Code

Internal

End Sem

Total

 

 

 

 

 

 

 

 

 

 

 

 

 

6

 

 

 

 

I

Abstract Algebra

(MMTHCAA126)

400

4 (Core)

 

 

 

 

 

20

30

70

100

Real Analysis

(MMTHCRA126)

400

4 (Core)

30

70

100

Metric and Topological Spaces

(MMTHCTS126)

400

4 (Core)

30

70

100

Integral Equations and Calculus of Variations

(MMTHDIE126)

400

4 (DCE)

30

70

100

Topics in Number Theory

(MMTHDNT126)

400

4 (DCE)

30

70

100

Computational Mathematics

(MMTHDCM126)

400

4 (DCE)

30

70

100

Mathematical Statistics

(MMTHDMS126)

400

4 (DCE)

30

70

100

 

 

 

 

 

II

 Complex Analysis

(MMTHCCA226)

400

4 (Core)

 

 

 

 

 

20

30

70

100

Ordinary and Partial Differential Equations

(MMTHCDE226)

400

4 (Core)

30

70

100

Discrete Mathematics

(MMTHCDM226)

400

4 (Core)

30

70

100

Applied Mathematical Modelling

(MMTHDMM226)

400

4 (DCE)

30

70

100

Research Methodology

(MMTHDRM226)

400

4 (DCE)

30

70

100

Linear Algebra

 (MMTHDLA226)

400

4 (DCE)

30

70

100

 Algebraic Topology

(MMTHDAT226)

400

4 (DCE)

30

70

100

Operations Research

(MMTHDOR226)

400

4 (DCE)

30

70

100

 

Total Credit (First Year)

 40 (Min.)

.

.

 (CW+CW and CW+R Schemes)

.

1-Year Masters Program in Mathematics or

3rd / 4th Sem of 2-year Program  (Lateral Entry)

 

 

 

 

 

 

 

6.5

 

 

 

 

 

 

 

 

 

 

III

Functional Analysis

(MMTHCFA326)

500

4 (Core)

 

 

 

 

 

 

 

20

30

70

100

Differential Geometry

(MMTHCDG326)

500

4 (Core)

30

70

100

Advanced Complex Analysis

(MMTHCCA326)

 500

 

4 (Core)

30

70

100

Measure Theory

 (MMTHDMT326)

500

4 (DCE)

30

70

100

Advanced Graph Theory

(MMTHDGT326)

500

4 (DCE)

30

70

100

Mathematical Biology

(MMTHDMB326)

500

4 (DCE)

30

70

100

Fourier and Wavelet Analysis

(MMTHDFW326)

500

4 (DCE)

30

70

100

 

 

 

 

 

 

 

      IV

Fields and Galois Theory

(MMTHCFG426)

500

4 (Core)

 

 

 

 

 

 

20

30

70

100

Research Project

(MMTHPDI426)

500

12 (DCE)

300

Internship (MMTHISO426)

500

4(DCE)

30

70

100

Riemannian Geometry

(MMTHDRG426)

500

4 (DCE)

30

70

100

Advanced Functional Analysis

(MMTHDFA426)

500

4 (DCE)

30

70

100

Advanced Measure Theory

(MMTHDMT426)

500

4 (DCE)

30

70

100

Homological Algebra

(MMTHDHA426)

500

4 (DCE)

30

70

100

Non-Linear Functional Analysis (MMTHDNL426)

500

4 (DCE)

30

70

100

Total Credits (Aggregate)

80 (Min.)