MAT 44043 INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS (3)

This course introduces the theory of partial differential equations, including diffusion, elliptic and hyperbolic, using mathematical tools, real-world examples and applications.  Topics include a derivation of the wave equation, Laplace equation, heat equation, Fourier series and integrals, boundary value problems, Bessel functions and Legendre polynomials, and numerical methods for approximating solutions.