Introduction to Partial Differential Equations is a course in applied analysis. It treats the central problem of applied mathematics--understanding and using the fundamental partial differential equations of mathematical physics that describe heat conduction, diffusion, fluid flow, wave phenomena, fields, potentials, and so on--from an analytical viewpoint. In addition to learning how to specify, classify, and solve PDEs, students will learn how to analyze problems that are not amenable to exact solution in order to determine what qualitative properties the solutions possess: smoothness, sensitivity to initial and boundary conditions, growth rates and limiting values, and so on.
The prerequisite is MA366 Functions of a Real Variable.
Maintainer: leader@rose-hulman.edu.