Math 425: Partial Differential Equations |
Spring 2011 |
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Faculty: Jerry L. Kazdan

Telephone: (215) 898-5109

email:kazdan AT math.upenn.edu

Office Hours: Wed. 10:30-11:30 (and also by appointment) in DRL 4E15TA: Ricardo Mendes

Telephone: (215) 898-8556

email:raugusto AT math.upenn.edu

Office Hours: Wed. 3-4 PM (and by appointment) in DRL 4C21

My web site

Text:H. F. Weinberger,A First Course in Partial Differential Equations: with Complex Variables and Transform Methods, Dover paperback (paperback reprinted from the 1965 edition); ISBN-13: 978-0486686400

Currently on sale from Amazon.

Content:The heart of this course is to achieve some real understanding of the wave, heat, and Laplace equations. The emphesis will be on mathematical and physical insight and ideas, not complicated formulas.Prerequisites & Review Material

Exams:There will be two in-class exams, from 12:00-1:20 on

- Thurs. March 3
- Tues. April 26
You may always use one 3"x5" card withhandwrittennotes on both sides

No Final Exam.

Some References:books, articles, web pages

Notes:

Some notes (1965!) from a course like our Math 240 (there are typos.)

DeTurck's Math 425 for 2010

Some Important PDEs

JLK Australia 2008 Notes (for a slightly more advanced course)

DeTurck notes on first order PDE's

ODE's: Generalities on Linear ODE's DeTurck Notes

Coupled Oscillators Many Oscillators Vibrating String Periodic Solutions

Inner Product: print version (display version)Fourier Series Examples

PDE: Change Variables: print version (display version)

Hear the Shape of a Drum Google search on: Gordon "Shape of a drum"

Spherical Harmonics (Wikipedia) ,

Wave Eq in R^3 and R^2

Tomography

Radon Transform

Homework Assignments:Some Homework Solutions

- Set 0 (Rust Remover. This will not be collected.)
- Set 1 Due: Thurs., Jan. 27 in class [Late papers will be accepted until 1:00 PM Friday.]
- Set 2 Due: Thurs., Feb. 3 in class [Late papers will be accepted until 1:00 PM Friday.]
- Set 3 Due: Thurs., Feb. 10 in class [Late papers will be accepted until 1:00 PM Friday.]
- Set 4 Due: Thurs., Feb. 17 in class [Late papers will be accepted until 1:00 PM Friday.]
- Set 5 Due: Thurs., Feb. 24 in class [Late papers will be accepted until 1:00 PM Friday.]
- Set 6 Due: Thurs., Mar. 17 in class [Late papers will be accepted until 1:00 PM Friday.]
- Set 7 Due: Thurs., Mar. 24 in class [Late papers will be accepted until 1:00 PM Friday.]
- Set 8 Due: Thurs., Mar. 31 in class [Late papers will be accepted until 1:00 PM Friday.]
- Set 9 Due: Thurs., Apr. 7 in class [Late papers will be accepted until 1:00 PM Friday.]
- Set 10 Due: Thurs., Apr. 14 in class [Late papers will be accepted until 1:00 PM Friday.]

Exams:(you may always use one 3"x5" card with notes on both sides)

Spring 2011 Exam 1, condensed, (solutions).

Spring 2011 Exam 2, condensed (solutions)