APM541-F03

APM 557, Fall 2005

Advanced Partial Differential Equations

Faculty: M. Shillor

Office: 554 SEB

Phone: 370-3439

email: shillor@oakland.edu

Class Time: MW 7:30- 9:17 pm

Room: 372 SEB

Section: 45941

Office Hours: MW 3:45- 5:00 PM

Important Dates:

August 31 - First day of class

September 5 -- Labor Day Recess (no class)

September 15 - Last day for no-grade drop and refund

November 3 - Last day for official withdrawal (W)

December 5 - Last day of class

Discussion board and chat room
Click on APM557, I will check it once a day or so.

You are encouraged to use the Book Swap orgnized by the OU Student Congress
for more info click here

Text:
The main Textbook for the course:
"Partial Differential Equations: Methods and Applications"
Robert C. McOwen, 2nd Ed
ISBN: 0-13-009335-1
Publisher: Prentice Hall, Pearson Education 2003

Other books that may be of help:
"Introduction to Partial Differential Equations with Applications"
E. C. Zachmanoglou Dale W. Thoe
Format: Paperback, 391pp.
ISBN: 0486652513
Publisher: Williams & Wilkins
Pub. Date: December 1986

"Partial Differential Equations for Scientists and Engineers"
Stanley J. Farlow
Format: Paperback, 397pp.
ISBN: 048667620X
Publisher: Dover Publications
Pub. Date: July 1993
Edition Desc: Unabridged

Some interesting models well explained can be found in:
Mathematical Models in Applied Mechanics
A. B. Tayler
ISBN: 0198535414 Format: Paperback, 280pp.
Clarendon Press, Oxford, 1986

Office Hours:

Monday and Wednesday 3:45--5:00 PM in my office. Students who are unable to make the announced
hours may make individual appointments.

Exams:

The grade in this course will be based on ONE 100 points midterm exam and a 200 points project for
300 points in total.

The exam is open book exam. You may bring the book and the course notes. It will be on November 2, 2005,
and will include all the material covered up to that time.

The project is class project, it will involve all the students and its presentation during the December 5 classes.

The Class Project is due by Monday, December 5 beginning of class.

INTENDED SYLLABUS:

We will follow the schedule below.

Week of --- Sections / HW
August 31 --- Introduction, discussion of different types of PDEs and preliminary material

September 5 --- Section 1.1
                           HW pp 24-5; 1, 3-6

September 12 --- Sections 1.2, 2.1
                         The Cauchy-Kowalevska Theorem is fundamental, but not very useful.
                           HW p. 30; 1-4, 6,7
                      A short discussion of Section 2.3 will be given.
                           HW p. 48; 1-4, 7*

September 19 --- Sections 2.2(we skip (b) and (c))
                     HW pp. 58-9; 1-5

September 26 --- Section 2.3
                      HW pp. 71-2; 3-5, 8, 13(a), 15

October 3 --- The 1D Wave Equation, Section 3.1, and Sections 3.2, 3.3
                  HW pp. 82-3; 1, 2, 4, try 5 and 8
                    HW pp. 90-1; 1-3
                    HW pp. 94-5; 1-3, 5, 6

October 10 --- Sections 3.4, 3.5

October 17 --- Assignment of the Class Project

October 24 ---

November 7 ---

November 14 ---

November 21 ---

Have a Good Thanksgiving Break!

November 28 ---

December 5 --- Presentation of the Project (Monday is Last class!)