Partial Differential Equations

Instructor: Lihe Wang

Office, phone and e-mail: 225B MLH, 5-3253 and lwang@math.uiowa.edu

Office Hours: 9:30-10:00 TR or by appointments.

Class Hours: 10:55-12:10 TR 210 MLH

 

Goals and Objectives of the Course:

This course is an introduction to the theory of Partial Differential Equations.

Basic topics to be covered will include the Laplace operator, the heat

and the wave equations, as well as nonlinear first order equations (Burgers

equation and Hamilton-Jacobi equations). Variational method will be

developed for nonlinear equations.

Textbook: Evans, Lawrence C.Partial Differential Equations. Graduate

Studies in Mathematics, 19. American Mathematical Society, Providence,

RI, 1998. ISBN: 0-8218-0772-2.

 

Homeworks: Homeworks will be assigned weekly on Thursday and collected one

week from the assignment date.

Week one: Chapter 2: 1, 2, 3.

Week two: Chapter 2: 4, 5.

        Some students did the wrong number so in that case, the wrong homework will be graded but you have

                Make up the correct homework within a week in order to keep the credit.

Week three: Chapter 2: 8, 9, 10, 12.

Week four: Chapter 2: 6, 7, 13.

Week five: Chapter 2: 11 and 14.

Week six: Chapter 2: 16 AND 18. Here is a link to the extra problem. Homework216.mht, which you can open using

Msft words, after saving it in a file.

or Homework216.mht , which is the same file in a different format.  Some useful identities AT http://hyperphysics.phy-astr.gsu.edu/hbase/vecal2.html

Homework due Oct 18. Chapter 3:1, 3 and 4.

Homework due Oct 25. Chapter 3:5,6 and 8.

Homework due Nov 1. Chapter 3:14. Chapter 4:1,2, 4.

Homework due Nov 8: Chapter 4: 3. Chapter 5: 1,2.

Homework due Nov 15: Chapter 5. 5, 7,8.

Homework due Nov 29: Chapter 5. 10,15,  18.

 

Final Take home exam: TBA

 

Examination: A take-home final will be given two weeks before the

end of the semester and collected at the end of the semester.

 

Grading Policy: The students grader for this semester is Mr. Da Xu. If

you have problems with your hw scores, you should first consult with him.

Only were you not satisfied by his resolution, you would come to see me for

further discussion. Late homework will be accepted with 1/10 discount per

day.

Your grade will be based on Homework (70%) Final presentation (30%).