Lecture Notes, Winter 2009
WARNING: downloading the lecture notes
and putting them under your
pillow at night will not help you learn the material.
Please let me know if there are any remaining errors in the notes.
Please let me know if there are any remaining errors in the notes.
Week 1:
- Lecture 1: Chapter 1. Introduction and reviews
- Lecture 2: Chapter 1 (ctnd) Introduction and reviews. Chapter 2. Introduction to first order PDEs. First order linear and semilinear equations.
Week 2:
- Lecture 3: Chapter 2 (ctnd). First order linear and semilinear equations (continued)
- Lecture 4: Chapter 2 (ctnd) Quasilinear equations.
Week 3:
- Lecture 5: Chapter 2 (ctnd) Existence and uniqueness; applications of 1st order PDEs
- Lecture 6: Chapter 2 (ctnd). Applications of 1st order PDEs: traffic flow and phone lines
Week 4:
- Lecture 7: Chapter 3: Second order linear PDEs. Types of equations
- Lecture 8: Chapter 3: Second order linear PDEs. Canonical forms
Week 5:
- Lecture 9: Chapter 3: Second order linear PDEs. Canonical forms (cntd)
- Lecture 10: Chapter 4: Fundamental second order linear PDEs. Separation of variables.
Week 6:
- Extra lecture on shocks and other things
- Lecture 11: Chapter 4: Fundamental second order linear PDEs. Diffusion equation and Laplace's equation
- Little Maple file to plot the diffusion equation solutions seen in class
- Little Maple file to plot the Laplace equation solutions seen in class
- Lecture 12: Chapter4: Fundamental second order linear PDEs. Forced equations.
Week 7:
- Lecture 13: Chapter 4: Fundamental second order linear PDEs. Forced equations (ctnd)
- Lecture 14: Chapter 4: Fundamental second order linear PDEs. Forced equations (ctnd). Chapter 5. Sturm-Liouville Problems
Week 8:
- Lecture 15: Chapter 5. Sturm Liouville Problems
- Lecture 16: Chapter 5. Sturm Liouville Problems (ctnd)
Week 9:
- Lecture 17: Chapter 5. Forced Sturm Liouville Problems
- Lecture 18: Chapter 5. Forced Sturm Liouville Problems (ctnd)
Week 10: