Methods of Applied Mathematics I

MATH 61100


MATH 26600 and 35100

Introduction to Banach and Hilbert spaces, linear operators, spectral theory of compact linear operators, applications to linear integral equations and to regular Sturm-Liouville problems for ordinary differential equations, boundary value problems, Green’s functions, distributions, Fourier transforms, classical PDEs (Laplace, heat, wave equations) of mathematical physics, spectral theory integral equations, and Fredholm Theory.