Methods of Theoretical Physics

Uses of Fourier series. Fourier and Laplace transforms in physics. Uses of complex variable and analytical continuation. Solutions of second order ordinary and partial differential equations. Mathieu, Bassel, Legendre equations etc. Greens function. Integral equations and Feynman’s diagrammatic techniques. Theory of matrices. Numerical methods. Eigen value problems. Transformations and elements of group theory and applications.