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 (4th ed), by Richard Haberman, Prentice Hall (2003)
MWF 1:30-2:20 PM, Room 119 Physics Building