Mathematical Methods in Physics

Review of Ordinary Differential Equations, Series Solution of Differential Equations, Legendre and Bessel Equations, Vector Analysis, Scalar and vector product, Vector differentiation and integration, Linear Vector Spaces, Matrix operations, Initial, boundary and eigenvalue problems, The Sturm Liouville problem, Series expansion in orthogonal function systems, Fourier and Laplace Transformations, The Dirac Delta Function, Introduction to partial differential equations, The separation of variables method, Solution of the Laplace equation, The diffusion and wave equations, Introduction to the calculus of variations, complex functions, Series differentiation and integration, The residue theorem, Review of Miscellaneous Topics