Rani Durgavati University Courses

Advanced Abstract Algebra-I

Real Analysis

Topology-I

Complex Analysis-I (Any one of the following)

• Functional Analysis
• Conceptual Applications
• Differential Geometry of Manifolds-I
• Fundamentals of Computer Science-I (Theory & Practical)

Project.

Advanced Abstract Algebra-II

Lebesgue Measure and Integration

Topology-II

Complex Analysis-II (Any one of the following)

• Advanced Discrete Mathematics
• Ordinary and Partial Differential Equations
• Differential Geometry of Manifolds-II
• Fundamentals of Computer Science II (Theory & Practical)

Project.

Applied Functional Analysis

Optional Paper's (Four papers out of the following have to be chosen, opting not more than one from each group.)

Group I

• Partial Differential Equations-I
• Differential Structures on manifolds-I
• General Theory of Relativity and Cosmology-I
• Divergent Series

Group II

• Algebraic Topology-I
• Abstract Harmonic Analysis-I
• Advanced Graph Theory-I
• Simplicial Homology Theory

Group III

• Advanced special Functions-I
• Mechanics-I
• Advanced Numerical Analysis -I
• Fuzzy Sets and their Applications-I

Group IV

• Linear Programming
• Computational Biology -I
• Jacobi Polynomial & H-Function-I
• Fluid Mechanics -I

Group V

• Wavelets-I
• Bio-Mechanics  -I
• Analytic Number Theory-I
• Integral Transform-I
• Approximation Theory-I

Group VI

• Programming in C (Theory & Practical) -I
• Mathematics of Finance & Insurance -I
• Integration Theory-I
• Spherical Trigonometry and astronomy-I
• Operator Theory on Banach Algebra

Internship

Operations Research

Optional Paper’ (Four paper out of the following have to be chosen, opting not more than one from each group.)

Group I

• Approximation by trigonometric and algebraic polynomials
• Partial Differential equation
• Differential Structure on Manifolds
• General Theory of Relativity and Cosmology

Group II

• Algebraic Topology
• Abstract Harmonic Analysis
• Advanced Graph Theory
• Advanced Special Function .

Group III

• Theory of Linear Operators
• Mechanics
• Advanced Numerical Analysis
• Advance Functional Analysis

Group IV

• Fuzzy Sets and their Applications
• Computational Biology
• Jacobi Polynomial &  H-Function
• Fluid Mechanics

Group V

• Wavelets
• Bio-Mechanics
• Analytic Number Theory
• Integral Transform
• Functional Analysis II

Group VI

• Programming in C (Theory & Practical)
• Mathematics of Finance & Insurance
• Integration Theory
• Spherical Trigonometry and astronomy

Job - Oriented Project Work.

Comprehensive Viva-Voce.