APM 557,  Fall 2007

Advanced Partial Differential Equations


Faculty: M. Shillor

Office: 554 SEB

Phone: 370-3439

email: shillor@oakland.edu

Class Time: TuTh 5:30- 7:17 PM

Room: 388 SEB

Section: 47505

Office Hours: Monday 2:00-3:30 PM and Thursday 2:15- 3:15 PM.


Important Dates:

September 4 - First day of class

September 18 - Last day for no-grade drop and refund

November 6 - Last day for official withdrawal (W)

December 6 - 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"
Jurgen Jost, 2nd Ed
Publisher: Springer 2007

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 2:00-3:30PM, Thursday 2:15--3:15 PM and by appointment.

Exams:

The grade in this course will be based on TWO 100 points midterm exams and a 100 points
project for 300 points in total.

The exams are open book exams. You may bring the book  and the course notes.
They will be  on October 16 and November 20,
and will include all the material covered up to that time.

The projects are individual projects, and will be presented during the December 6 class.

The Projecst are due by Thursday, December 6 beginning of class.


INTENDED SYLLABUS:

We will follow the schedule below.
We will cover parts of Chapters 1-8.


Week of --- Sections / HW


September 4 ---  Preliminaries, Elliptic, Parabolic, and  Hyperbolic PDEs, some modelling
                                Separation of variables and D'Alembert's solution of the 1D wave eqn


September 10 ---
  Sections 1.1 and 1.2
                                    HW; p. 31 Qs 1.4 - 1.9, try to read the other questions too.


September 17 --- 
Sections

September 24 --- Section
 

October 1 --- 
 
October 8 --- 

October 15 --- Tuesday Exam 1
                        The material for the exam is:

October 22 ---

October 29 ---

November 5 ---


November 12 ---

November 19 --- Tuesday Exam 2
                       The material for the exam is:




Have a Good Thanksgiving Break!

November  26 ---  Tuesday Exam 1

December 3 --- Presentations of the Projects  (Thursday is Last class!)



The main topics of the course: