Syllabus: 

Infinite series, power series; Linear Algebra; Ordinary differential equation; Partial differential equations; Multiple integral; Vector analysis; Fourier series and transforms; Calculus of variations; Series solutions of differential equations, Legendre, Bessel, Hermite and Lauguerre functions; Probability and Statistics.

Text References: 

1. M. L. Boas, Mathematical Methods in the Physical Sciences, Willey, 2005.

2. Arken, Weber and Harris, Mathematical Methods for Physicists, Academic press, Elsevier, 2012.