Venue: Emmy Noether Seminar Room

Class Timings: Tuesdays & Thursdays from 2:00 PM - 3:30 PM

First Meeting: 17 August 2023

Course Description:

Prof. Jaikumar (will take class first 5 weeks): Linear vector spaces, linear operators and matrices, systems of linear equations. Eigenvalues and eigenvectors, classical orthogonal polynomials

Prof. Siva (will take class second 5 weeks):  Linear ordinary differential equations, exact and series methods of solution, special functions; some nonlinear equations,  Complex variable theory; analytic functions; Taylor and Laurent expansions, classification of singularities, analytic continuation, contour integration.

Prof. Samriddhi (will take class third 6 week): Linear partial differential equations of physics, separation of variables method of solution, Green’s function methods;  Dispersion relations; Fourier and Laplace transforms. Asymptotic analysis, introduction to singular perturbation theory


Course Evaluation: 3 test by each instructor + 25% of overall total Assignments

Credit Score: 4