Math 551: Applied Partial Differential Equations and Complex Variables (Fall 2021) [........]

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)


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




Thomas Witelski, Professor, Dept of Math

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