16:642:527 - Methods of Applied Mathematics I
M. Greenberg, Advanced Engineering Mathematics (second edition); Prentice, 1998 (ISBN# 0-13-321431-1)
Students should know multivariable calculus, elementary differential equations, and some linear algebra.
This is a first-semester graduate course, intended primarily for students in mechanical and aerospace engineering, biomedical engineering, and other engineering programs. Topics include power series and the method of Frobenius for solving differential equations; Laplace transforms; nonlinear differential equations and phase plane methods; vector spaces of functions and orthonormal bases; Fourier series and Sturm-Liouville theory; Fourier transforms; and separation of variables and other elementary solution methods for linear differential equations of physics, including the heat, wave, and Laplace equations.
Sections Taught This Semester: