Link to Syllabus

MSc Mathematics Curriculum
गणित स्नातकोत्तर पाठ्यक्रम

Semester – I

• Groups and Rings
• Naive Set Theory and Elements of Topology
• Analysis of Several Variables
• Real Analysis
• Complex Analysis
• Ordinary Differential
• Equations and Special Functions

Semester – II

• Modules and Linear Algebra
• Point-Set Topology
• Functional Analysis
• Classical Mechanics and Calculus of Variation
• Integral Equations and Integral Transforms
• Partial Differential Equations

Semester – III

• Differential Geometry and its applications
• Field Extension and Galois Theory
• Measurability and Integration in Abstract Spaces
• Topological Groups
• Algebraic Topology
• Elementary Number Theory
• Advanced Complex Analysis-I
• Advanced Functional Analysis-I
• Theory of Approximation
• p-adic Analysis
• Advanced Numerical Analysis
• Continuum Mechanics
• Computational-Partial Differential Equations
• Dynamical System
• Fluid Mechanics
• Numerical Programming in Computational Software
• Statistical Learning
• Quantum Mechanics

Semester – IV

• Graph Theory, Algorithms, and Combinatorics
• Numerical Problem Solving by Computer Programming
• Signed Measure and Product Measure
• Topological Algebra
• Differential Topology
• Analytic Number Theory
• Advanced Complex Analysis-II
• Advanced Functional Analysis-II
• Advanced Algebra
• Modular Forms
• Algebraic Geometry
• Category Theory
• General Theory of Integration
• Boundary Integral Equations
• Mathematical Ecology
• Biofluid Mechanics
• General Theory of Relativity and Cosmology
• Lie Theory of Ordinary and Partial Differential Equations
• Nonlinear Optimization
• Computational Statistics