MATH 442-C13--Intro to PDE

Time:  MWF 10:00-10:50pm

Location:  BURRILL 140

Instructor: Marius Junge      Course email   Office hours: Thursday 5-6,  TBA

Course description

PDE (partial differential equalitions) are everywhere. The mathematical persepective was largely motivated by real physical problems such as transport equation, heat flow and behavious of liquids. The aim of this course is to understand a few models cases--sounds innocent and not to hard. Constructing solution in full generality requires more math than we can handle, or can be impossible. Thats why we  focus on main building blocks and how geometric ideas and the Famous Fourier transform can help us to understand them.

Text Book:  Walter A. Stauss, Partial Differential Equations: An Introduction, John Wiley & Sons, 1992.

We will cover  chaper 1-6 and 10. I will share my notes after a certain topic is completed

Chapter I    What are PDE's  
                   First order  
                   Flow, vibration and diffusion   
                   Initial and boundary conditions       
Chapter II

Chapter III

Chapter IV

Chapter V

Chapter VI

Chapter XX

Homework   (30%)  (every Friday)
Midterm  (40%)
Final (30%)


Midterm1   Friday, February  24 
          Midterm2   Friday, April 21       

         Final: look up in combined schedule

Joint work for homework is encouraged, however, the solution has to be written by the submitting student. Please indicate collaborator.

Homework Policy:
Homework should be turned in in class before the lecture. All homework must be stapled. 
One lowest HW score is dropped. You are encouraged to cooperate while doing homework, but you are expected to complete 
the homework on your own and to write the solutions in your own words, and not contain pieces taken verbatim from elsewhere.  No late homework will be accepted.

Make-up Policy:
No make-up exam will be given unless you contact me in advance with written authorization from university to miss exam 
(illness, family emergency, active participation in athletic events).

Attendance Policy:
If you have 3 unexcused absences you may be dropped from the class. However, it is your responsibility to drop the course 
if you decide to stop attending classes. If you don't, you may receive an F for the class.



final material

course material

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