Applied Partial Differential Equations II

Review of vector calculus and curvilinear coordinates. Partial differential equations. Heat conduction and diffusion equations, the wave equation, Laplace and Poisson equations. Separation of variables, special functions, Fourier series and power series solution of differential equations. Sturm-Liouville problem and eigenfunction expansions. Prerequisites: Multivariable calculus; Linear algebra; APMA 0365 or equivalent.