MAT1061 PDE II, University of Toronto 2007-8
MAT 1061 Partial Differential Equations II (Spring 2008)
Robert Jerrard, Instructor
How to reach me: Robert Jerrard, 6236 Bahen Center, 8-5164.
- rjerrard at math dot toronto dot edu.
- Lectures: Mondays 3-4 in BA 1220, Tuesdays 12:40-2pm in BA 2135, and Fridays 11-12 in BA 3000
- Office hours: Tuesday and Thursday 3-4pm.
Course description: This is a sequel to MAT 1061.
Topics to be covered include linear and nonlinear equations
of elliptic, parabolic, and hyperbolic type.
Text: The first part of the course will cover
most of Chapters 6-8 of
"Partial Differential Equations", by Lawrence C. Evans.
AMS Graduate Studies in Mathematics, Vol. 19, ISBN 0-8218-0772-2.
The later part of the course will draw on material from a number of
sources.
Evaluation: (tentative)
- 35% : 2 quizzes
- 20% : 4 hand-in homework sets
- 45% : Final Exam
The quiz questions will be drawn from a list of questions that will be
updated as the semester progreses and that will be posted on the
course web site. I will allow people to consult handwritten notes (in your own handwriting
only!) while taking the first quiz. You are therefore encouraged to solve everything
on the list of potential questions and to keep your solutions in a neat and well-organized
format.
The first quiz will take place on Friday, February 8.
List of possible questions for the 1st quiz
The second quiz will take place on Friday, April 11.
List of possible questions for the 2nd quiz
Supplementary material:
Summary of existence results for 2nd order elliptic equations This summarizes some topics covered in Evans, Chapter 6.
notes on determinants This gives an alternative treatment of some topics covered in Evans, Section 8.1.4.
notes on nonlinear ground states. This considers a variational problem relevant to nonlinear Schrodinger equations.