Differential Equations II

Catalog description

The course will include coverage of solution methods, existence and uniqueness of solutions and approximation methods. Applicability of differential equations to a variety of physical phenomena will be explored. After completing this course, students should be able to: Identify and classify PDEs as elliptic, parabolic or hyperbolic; Used the method of characteristics, separation of variables, eigenfunction expansion, Fourier analysis and Green's function techniques to solve PDEs where applicable; Use Laplace, heat and wave equations to model physical phenomena; Use technology to analytically and numerically solve differential equations on bounded domains.