Math 551: Applied Partial Differential Equations and Complex Variables (Fall 2020) [18205/18206]

Mathematical methods for solving problems in linear partial differential equations: linear operators and adjoint problems, eigenfunction expansions, Fourier series, Sturm-Liouville problems, orthogonal functions and generalized Fourier series. Solutions via Green's functions. Complex variables for contour integrals and solutions via integral representations. Integral transforms: Fourier and Laplace transforms.

Textbook: Applied Partial Differential Equations (5th ed), by Richard Haberman, Prentice Hall (2013)

Prerequisites

Background in linear algebra and ordinary differential equations: [Math 221 and 356], or [Math 216 and 353], or equivalents.

Schedule

MWF 1:45-2:35 pm, Online (Zoom) and Room 2231 French (in-person)

Instructor

Thomas Witelski, Professor, Dept of Math

Office hours

Days/Times to be announced.... or by email request for an appointment for other times.

Problem sets

Course materials