Partial Differential Equations: Math 483/683

Partial differential equations (PDE) are among the main tools of applied mathematics that are used to model various processes in physics, engineering, economics, natural and social sciences. The purpose of the course is to learn the basics of the theory of linear PDE and master the elementary tools (Fourier series, integral transforms, Green's functions) to solve three most important linear partial differential equations: heat, wave, and Laplace equations. The students will be exposed to both theoretical and applied points of view.