Prerequisites: MATH 305 or equivalent. Offered in fall.
Vector analysis; coordinate systems; tensor analysis; determinants, matrices and group theory; infinite series, functions of a complex variable: conformal mapping and calculus of residues; partial differential equations of theoretical physics, non homogeneous equations-Green's function; Fourier and Laplace transforms; Gamma, Bessel and Legendre functions; integral equations; calculus of variations; numerical methods for data treatment. Linear and metric spaces. Hilbert spaces.