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Vector and tensor algebra and complex-variable methods; ordinary differential equations, qualitative questions of existence and uniqueness; analytic solution methods, numerical methods, power-series solution and special functions; eigenvalue problems, Green's functions, Laplace transforms, stability of solutions; engineering applications drawn from mechanics. Course Information: 4 graduate hours. No professional credit. Prerequisite: MATH 285 OR MATH 286 OR MATH 441; TAM 251.

This course covers vector and tensor algebra and complex-variable methods; ordinary differential equations, qualitative questions of existence and uniqueness; analytic solution methods, numerical methods, power-series solution and special functions; eigenvalue problems, Green's functions, Laplace transforms, stability of solutions; and engineering applications drawn from mechanics.

4 hours

Undergraduate degree and MATH 285 and TAM 251.