APM 351 University of Toronto 2007-08

APM 351 Differential Equations of Mathematical Physics, 2009-2010

Almut Burchard, Instructor

Course schedule

How to reach me: Almut Burchard, 215 Huron, # 1024, 6-4174.

almut @math , www.math.utoronto.ca/almut/

Lectures MWF 9:10-10am, BA 1220.

Office hours:

Teaching assistant: Ioannis Anapolitanos, ioanap @math . Text: "Partial Differential Equations: An Introduction", by W. Strauss. First/second edition, John Wiley and Sons, Inc.

Course content:

First order linear equations. Characteristics.
Diffusion and wave equations.
Separation of variables.
Fourier series.
Laplace's equation. Schrödinger equations.
Green's functions. Boundary problems in plane and space.
General eigenvalue problems; minimum principle for eigenvalues.
Distributions and Fourier transforms. Laplace transforms.
Differential equations of physics (electromagnetism, fluids, acoustic waves, scattering).
Introduction to nonlinear equations (shock waves, solitary waves).

Prerequisite: MAT 267, Co-requisites: MAT 334/354

Evaluation:

30% : 12 hand-in homework sets (drop two)

30% : 2 mid-term tests

40% : Final examination

Remarks. You are encouraged to discuss lectures and homework problems with each other and with me, and you may consult other sources. But please write up your assignments yourself, in your own words, and be ready to defend them! Exams will be closed-book, closed notes.

The University of Toronto is committed to accessibility. If you require accommodations for a disability, or have any accessibility concerns about the course, the classroom or course materials, please contact Accessibility Services as soon as possible: disability.services@utoronto.ca, or http://studentlife.utoronto.ca/accessibility