Intro Partial Diff Equations

3 Credits · Level: Graduate, Undergraduate

Partial differential equations are essential tools in applied mathematics. This course synthesizes and builds upon techniques and concepts from multivariable calculus, linear algebra and ordinary differential equations to solve and analyze key linear partial differential equations such as the Laplace equation, the heat equation, and the wave equation. Topics include initial and boundary value problems, maximum principles, Fourier series, Fundamental solutions and Green functions.