FUNCTIONAL ANALYSIS

MSMAT0 3 C 1 1: Functional Analysis 

Course Objective: To enable the students to connect topology, linear algebra and analysis together to get into the theory of functional analysis. 

Course Learning Outcome: After successful completion of the course, student will be able to bring together the theories of linear algebra, topology and analysis and get acquainted with the basic theories of functional analysis.

COMPLEX ANALYSIS

MSMAT03C12: Complex Analysis 

Course Objective: To enable the students to develop basic complex analysis techniques for advanced level complex functional theory 

Course Learning Outcome: After successful completion of the course, student will study Cauchys theorems, residue integration and space of analytic and meromorphic functions.

DIFFERENTIAL GEOMETRY

MSMATO3C13: Differential Geometry 

Course Objective: The course gives an introduction to the elementary concepts of differential geometry using the calculus of vector fields so that the students also attain a deep understanding of several variable calculus.

Course Learning Outcome: After successful completion of the course, student will be able to understand the basics of differential geometry and several variable calculus.


NUMBER THEORY

Core Elective Paper

 MSMAT03E01: Number Theory

 Course Objective: To enable the students to develop basic concepts in Number Theory. 

Course Learning outcome: After successful completion of the course, student will study the basics of both Analytic and Algebraic Number Theory.

GRAPH THEORY

Open Elective Paper

 MSMATO3OO1: Graph Theory 

Course Objective: To enable the students to acquire advanced level knowledge in Graph Theory. 

Course Learning Outcome: After successful completion of the course, student will develop knowledge n connectivity in graphs, independent sets and matchings, edge and vertex colorings and related concepts.