Course Objectives: The course covers mathematical analysis of linear and nonlinear partial differential equations. Topics include Cauchy-Kovalevskaya Theorem, Riemann invariants and shocks, linear and nonlinear elliptic equations, energy methods for parabolic and hyperbolic equations, and the semi-group methods.
Instructor: Dr. Dmitry Pelinovsky, HH-422, ext.23424, e-mail: firstname.lastname@example.org
Lectures: Monday, Wednesday (1:00-2:30); HH/207
Office hours: Monday, Wednesday (3:00-4:00), or by appointment
"An Introduction to Partial Differential Equations" by M. Renardy and R.C. Rogers, Second Edition (Springer, 2004), ISBN 0-387-00444-0
Assignments: Four home assignments will be handed out in class on Monday every third week, starting the week of January 16. The assignments are due on Wednesdays in the following week. The texts for assignments and solutions will be posted on the course webpage.
Project: The course is completed by a presentation. Details of the presentations will be announced in March.
Project - 40%
Assignments - 60%