Math 551: Applied Partial Differential Equations and Complex Variables (Fall 2023) [5746]

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

Undergraduate-level background in linear algebra [like Duke's Math 218 or 221], ordinary differential equations [Math 353 or 356], and multi-variable calculus [Math 212, 219 or 222], or equivalents.

Schedule

Mon/Wed/Fri 10:20-11:10am EDT, Gross Hall Room 324

Instructor

Thomas Witelski, Professor, Dept of Math

Office hours

Weekly Days/Times to be announced,
or by email request for appointments at other times.

Problem sets

Course materials