Math 112C, Introduction to Partial Differential Equations

ET202, MWF 3:00-3:50pm; Spring Quarter, 2008

Instructor: Dr. Shuwang Li; Email: lis@math.uci.edu.NOSPAM Webpage www.math.uci.edu/~lis
Office hour: Tue. 1:20~3:00pm at MSTB 289
TA : G. Mueller, Email: gmueller@math.uci.edu. Office RH420B.

Textbook

H.F. Weinberger, A First Course in Partial Differential Equations (with Complex Variables and Trtansform Methods),
DOVER PUBLICATIONS, INC.

Prerequisites

Math 2D, 2J, 3D, 2E, 112A, and 112B. Students should be able to do multivariable calculus, complex numbers, linear algebra and oridinary differential equations.

Discussion Sessions

Each student must be signed up for the discussion session listed below:

44510 LECTURE: ET202 MWF 3:00 ~ 3:50 pm
44511 DIS : ET202 T. Th. 3:00 ~ 3:50 pm

In the discussion sessions TA will go over recently assigned homework problems and will answer your questions about the lecture. Please come prepared to ask questions. In other words, do the homework before coming to the discussion.

Homework, Quizzes, Tests and Grades

Homework will be assigned at the beginning of each class and will not be collected, but you are supposed to do them all. REMEMBER: the more problems you do, the better you understand the material. Students are encouraged to work together on homework sets.
There will be approximately one quiz per week in the discussion session on Thursday. There are two to four short questions in one quiz. The quiz problems will be either the same as, or very similar to those from the homework. Thus, if a student has made a good attempt at the homework, he/she should do well on the quiz. Two lowest quiz grades will be dropped from the final grade calculation. You must have a doctor's or University authorized excuse in order to make up a missed quiz.
There will be one midterm exam, and a comprehensive final exam covering all materials I talked. Final exam is scheduled on June 9 (Mon. from 4:00pm to 6:00pm), and it is predetermined and immovable. I will give at least one week notice in class of upcoming midterm exams. You must have a doctor's or University authorized excuse in order to make up a missed test.
Grades are posted on EEE gradebook. A weighted course percentage, wcp, will be calculated according to the following weights: Quizzes 25%, Midterm 25%, , and Final Exam 50%. As an example, if I have 90% of Quiz, 90% of Midterm, and 70% of Final Exam points, then my course percentage is .25(90%) + .25(90%) + .5(70%) = 80%. The formula is wcp=0.25(quiz%) + 0.25(midterm%) + 0.5(final%). Letter grades, on the plus/minus scale (e.g., B+, B, B-), will be decided at the end of the term.
Academic dishonesty of any form will not be tolerated.
Tentative class schedule :

Green's function, higher dimension PDEs, Fourier transform, special functions.

Homework Assignments

Reading assignment: Weinberger's book, section 30 and 31.
Homework 1: section 29: 2, 3, 9; Review the lecture notes and derive the Green function for Poisson Eq. in a disk by yourself.

Homework 2: section 30: 1, 2, 4; Review the lecture notes and understand how to derive the solution to a PDE using the Green function.

Homework 3: Review the lecture notes and work out the homework assigned in class.

Homework 4: Review the lecture notes and work out the homework assigned in class.

Homework 5: Review the lecture notes and work out the homework assigned in class.

Homework 6: section 32: 1, 2, 4, 5, 6;

Study Guides for Final Exam: math112c_prac.pdf