AEP 4220 - Mathematical Physics II

Spring. 4 credits.

Prerequisite: AEP 4210. Intended for upperlevel undergraduates in physical sciences. Second of two-course sequence in mathematical physics.

Staff.

Topics include partial differential equations, Bessel functions, spherical harmonics, separation of variables, wave and diffusion equations, Laplace, Helmholtz, and Poisson’s Equations, transform techniques, Green’s functions; integral equations, Fredholm equations, kernals; complex variables, theory, branch points and cuts, Riemann sheets, method of steepest descent; tensors, contravariant, and covariant representations; group theory, matrix representations, class and character. Texts: Mathematical Methods for Physicists by Arfken and Mathematical Physics by Butkov.