Math 553 Fall 2005

Introduction to Partial Differential Equations



Room: Altgeld 341

Time: TTh 10:30 - 11:50 am

Lecturer: Eduard-Wilhelm Kirr

Final Exam: 8:00-11:00 am, Wednesday, December 14 in Altgeld 341. Here is a link that you may find useful for preparing the exam

Final Exam Policy: TBA

Syllabus: Basic introduction to the study of partial differential equations; topics include: the Cauchy problem, power-series methods, characteristics, classification, canonical forms, distribution theory, integral transforms, fundamental solutions, well-posed problems, Riemann's method for hyperbolic equations, the Goursat problem, the wave equation, Sturm-Liouville problems and separation of variables, Fourier series, the heat equation, Laplace's equation, harmonic functions, potential theory, the Dirichlet and Neumann problems, and Green's functions. Prerequisite: Consent of instructor

Text: Robert McOwen, Partial Differential Equations: Methods and Applications, Prentice-Hall, Inc. (2003)

Homework: Assignments will be given weekly and will be due on Thursdays the following week. Homework is to be written up independently. Solutions are posted, if necessary, after the due date, at TBA