Main Texts:

Coddington and Levinson, Theory of Ordinary Differential Equations Jones, Lebesgue Integration on Euclidean Space Riesz & Sz.-Nagy, Functional Analysis

Topics to be covered: ODE (continued) -- linear systems, numerical approximations; overview of Lebesgue integration in Rⁿ; Hilbert spaces; Fourier series with application to PDE's; Fourier transforms and convolutions.