Mathematics 534H - Intro Partial Differential Eq

The course will cover the following topics: Introduction to and classification of second-order partial differential equations, wave equation, heat equation and Laplace equation, D'Alembert solution to the wave equation, solution of the heat equation, maximum principle, energy methods, separation of variables, Fourier series, Fourier transform methods and operator eigenvalue problems. Time-permitting, we will briefly examine numerical methods for partial differential equations, as well as some select examples of nonlinear partial differential equations. The final grade will be determined on the basis of homework, an in-class midterm and a final exam.

MATH 233, 235, and 331 Note: 20 seats reserved for Math majors and 10 seats reserved for Commonwealth Honors College Students