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    Varanasi, Uttar Pradesh 221005, India
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    (0542) 2368938, 2368339, 2307222, 2368558
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    (0542) 2368418, 2369100, 2369951
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  • Approved By: UGC NAAC NCTE

M.Sc. (Mathematics)


Duration:

2 Years

Eligibility:

Graduation

Course Duration: Two Year (Semester  System)

Course Eligibility : Graduation  in Science  with at least 50 % marks or Equivqlent CGPA

Admission Criteria: Merit in qualifying examination, subject to eligibility criteria.

Entrance/Eligibility Test: As per University Rules

Programme Mode: Regular

Course Syllabus

Semester – I

Course Code

Course Title

MTM  101

Algebra-I

MTM  102

Real Analysis-I

MTM  103

Topology

MTM  104

Differential Geometry of Manifolds-I

MTM  105

Set Theory & Complex Analysis

MTM  106M

Minor Elective: Mathematical Methods (for students of other PG programmes)

#

Minor Elective ( for Mathematics students)

 

Semester – II

MTM  201

Algebra-II

MTM  202

Real Analysis-II

MTM  203

Analytic  Dynamics

MTM  204

Differential Geometry of Manifolds-II

MTM  205

Theory of Optimization

MTM  206M

Minor Elective: Mathematical Modeling (for students of other PG programmes)

#

Minor Elective ( for Mathematics students)

 

Semester – III

MTM  301

Hydrodynamics

MTM  302

Normed Linear Spaces & Theory of Integration

MTM  303

Numerical Analysis


Major Elective (Any two of following courses , each of 4 credits : MTM 304 - MTM 309)

MTM  304

Discrete Mathematics

MTM  305

Operations Research

MTM  306

Gravitation

MTM  307

Structures on Differentiable Manifolds - I

MTM  308

Advanced Topology

MTM  309

Integral Equations

MTM  310M

Minor Elective: Computational Bioinformatics for students of other PG programmes)

#

Minor Elective ( for Mathematics students )

 

Semester – IV

MTM  401

Functional Analysis

MTM  402

Partial Differential Equations


Major Elective (Any two of following courses , each of 4 credits : MTM 403 - MTM 409)

MTM  403

Fluid Mechanics

MTM  404

Numerical Solution of Partial Differential Equations

MTM  405

Structures on Differentiable Manifolds-II

MTM  406

Algorithms and Data Structures

MTM  407

Wavelets

MTM  408

Cosmology

MTM  409

Category Theory.


Minor Elective (Any one of following courses , each of 3 credits : MTM 410 - MTM 416)

MTM  410

Fuzzy Sets and Applications

MTM  411

Financial Mathematics

MTM  412

Number Theory and Cryptography

MTM  413

Operator Theory

MTM  414

Bio-Mechanics

MTM  415

Module Theory

MTM  416

Advanced Graph Theory

MTM  417

Project