MA 483G is essentially an introductory course in partial differential equations designed to prepare undergraduate mathematics majors for serious work in partial differential equations and to provide Ph.D. candidates in engineering and science with an introduction to partial differential equations which will serve as a foundation for their advanced numerical and qualitative work (e.g., in computational fluid dynamics.) The course encompasses the following topics: first order linear equations, characteristics, Laplace's equation, wave equation and heat equation, boundary value problems, Fourier series, Green's identities and Green's functions, general eigenvalue problems.