AMATH 403
SLN 10206, MTWF 1:30-2:20, Loew Hall 216

AMATH 403: Introduction to Methods in Applied Mathematics III


Instructor:

 David George
Guggenheim 415 D
fax: 1-206-685-1440
tel: 1-206-685-9298
dgeorge@amath.washington.edu
office hours: Wed. 2:30-4:00, or by appt.

Teaching Assistant:

 Meng Chen
Guggenheim 407
mchen01@amath.washington.edu
office hours: Tu. Thu. 4:00-5:00

Schedule Homework Grades Edge Home Page Lecture Videos Moodle

Course Description and Syllabus

See 401. Applications of partial differential equations; basic solution techniques for second order parabolic, elliptic, and hyperbolic equations (Separation of variables, Fourier and eigenfunction methods, Sturm-Liouville problems); classification of linear second order equations; hyperbolic first order equations, characteristics; Green's functions and integral methods.

Textbook

Haberman, Richard. Applied Partial Differential Equations. 4th Edition. Prentice Hall, 2004.

Schedule

Below is an approximate topic and reading schedule. You should also consult the lecture and the homework assignments to gauge your reading.

Week

Dates

Reading

Topics

1 March 31-April 4 Haberman: Chapter 3, Lecture Notes: 1-2 Review, Introduction to PDEs and Fourier Series.
2 April 7-11 Haberman: Chapter 1, 2.1-2.4, and 4.1-4.4. Lecture Notes: 2-3.2 Separation of Variables for the wave and heat equations.
3 April 14-18 Haberman: Chapter 2.5.1 and 4.5, Lecture Notes Ch 4-5 Laplace`s equation, Poisson equation, Heat and Wave Equations in 2D
4 April 21-25 Haberman: Chapter 2.5.2 and 8.1-8.3. Lecture Notes Ch 6 Method of Eigenfunction Expansion. Beginning Sturm-Liouville Eigenvalue Problems.
5 April 28-May 2 Haberman: Chapter 5. Lecture Notes Ch 6,7 Sturm-Liouville Eigenvalue Problems.
6 May 5-9 Haberman: MIDTERM. Continue with Haberman Chapter 5. Sturm-Liouville Eigenvalue Problems. We will continue to see how Sturm-Liouville theory ties together what we have done previously. Study Topics For Midterm: (.pdf)
7 May 12-16 Haberman: Chapter 7.1-7.7, 8.5-8.6 Higher dimensional problems, higher dimensional eigenvalue problems.

Lecture Notes

I will post supplementary lecture notes. These do not follow the lectures exactly and should not be considered a replacement for the textbook or the lectures, they are simply an additional resource. They also almost certainly contain some typos and errors, so feel free to let me know if you find anything suspicious in them! I will update the lecture notes as we go, adding more chapters, so you unfortunately you will need to download a new pdf every time.
Lecture Notes (.pdf) updated:5-01-08

Homework

Homework assignments will typically be assigned weekly, and collected the following week anytime before class or at the start of class time on the due date. Late homework will never be accepted since solutions will be posted after class. Homework accounts for 40% of your final grade. Below you will find links to the homework assignments and solution sets in .pdf form.

Homework/Exam

Due Date

Solution Set

Homework #1 (.pdf) Tuesday, April 8. Solution Set # 1 (.pdf)
Homework #2 (.pdf) Friday, April 18. Solution Set # 2 (.pdf)
Homework #3 (.pdf) Wednesday, April 30. Solution Set # 3 (.pdf)
Homework #4 (.pdf) Wednesday, May 7th, 6 pm. Solution Set # 4 (.pdf)
Homework #5 (.pdf) Wednesday, May 21st, 6 pm. Solution Set # 5

Grading

Your final course grade will be a weighted average of grades on your homework, midterm and final exam:

You may view your homework and exam grades at the Moodle page. .

Moodle

Moodle is an interactive teaching/web resource that I am trying out. The Moodle page is a companion website for this class that allows you to post, read, and/or respond to questions or messages from classmates. I will also answer questions or make announcements at the Moodle page. Since the Moodle site requires you to login using your UW net ID, you can also view private information there such as your grades. Once you login to the central ``moodle server," you should see links to all of your courses that have a moodle page (including this one).

Prerequisites

Amath 402 is recommended. At the very least you should be familiar with ordinary differential equations, linear algebra and multivariable calculus.

Website url

Official Class (this) website: http://www.amath.washington.edu/courses/403-spring-2008

Edge Website: http://www.engr.washington.edu/edge/amath584/index.html

<dgeorge@amath.washington.edu> Thu Sep 13 16:34:50 PDT 2007