Partial Differential Equations

Catalog description

This course studies the general theory of partial dierential equations with emphasis on linear equations and the basic techniques for solving initial boundary value problems involving one unknown function and one independent variable. In addition, this course will helps student understand how to model the world in terms of partial dierential equations, and how to solve those equations and interpret the solutions. Topics may include transport equation, Laplace's equation, heat equation,wave equation, application of Sturm-Liouville's theory, Fourier series/transforms, Green's functions,method of characteristics, Duhamel's principle, and maximum principle. Prerequisites: MATH 2320 with a minimum grade of C.