MATH4220  Partial Differential Equations  2017/18
General Information
Lecturer

Professor Zhouping Xin
 Office: AB1 701
 Tel: 3943 4100
 Email:
 Office Hours: Every Tuesday & Thursday: 3:30pm to 4:30pm, or to make an appointment by email.
Teaching Assistant

Mr. Hongwei YUAN
 Office: AB1 614
 Tel: 3943 4109
 Email:

Ms. Rong ZHANG
 Office: AB1 614
 Tel: 3943 4109
 Email:
Time and Venue
 Lecture: Tue 16:3018:15, LSB LT4; Thu 09:3010:15, LSB LT4;
 Tutorial: Thu 08:3009:15, LSB LT4
Course Description
Objectives: Firstorder PDEs, Wave Equation, Diffusion Equation, Laplace Equation, Boundaryvalue Problems and Initialboundaryvalue Problems, Wellposedness, Maximum Principle, Energy Methods, Method of Separation Variables, Eigenvalue Problems, Fourier Series, Green's Function
Prerequisite: Theory and Methods for ODEs (1st order and 2nd order ODEs); Multivariable Calculus (Integration by parts, Green's Identity, Stokes Formula, Gauss Formula, etc.); Basic knowledge of linear algebra and mathematical analysis
Syllabus:
The following sections in the text book will be covered: Chapter 1, 1.11.6 Chapter 2, 2.12.5 Chapter 3, 3.13.5 Chapter 4, 4.14.3 Chapter 5, 5.15.4, 5.6 Chapter 6, 6.16.3 *Chapter 7, 7.17.4 (dependent on time) *Chapter 11, 11.111.3 (optional)
Assignments: There will be 5 to 9 assignments (will be given in class), two of which have to be handed in (though you are strongly encouraged to do all of them). Your TAs will answer questions from the homework.
Quiz: There will two quizzes.
Midterm: Around the 8th week.
Final Exam: One
Textbooks
 Walter A. Strauss, Partial Differential Equations, An Introduction, John Wiley & Sons, Inc., 1992
References
 H.F. Weinberger, A First Course in Partial Differential Equations, Blaisdell, Waltham, Mass., 1965.
 D. Bleecker and G. Csordas, Basic Partial Differential Equations, International Press, 1996.
Tutorial Notes
 Tutorial Notes 1
 Tutorial Notes 2
 Tutorial Notes 3
 Tutorial Notes 4
 Tutorial Notes 5
 Tutorial Notes 6
 Tutorial Notes 7
 Tutorial Notes 8
 Tutorial Notes 10
 Tutorial Notes 11
 Tutorial Notes 12
Assignments
Quizzes and Exams
Solutions
 Solution for Assignment 1
 Solution for Assignment 2
 Solution for Assignment 3
 Solution for Quiz 1
 Solution for Midterm Exam (Tutorial Notes 9)REVISED
 Solution for Assignment 4
 Solution for Quiz 2
 Solution for Assignment 5
 Solution for Assignment 6
Assessment Scheme
2 Homeworks  10%  
2 Quizzes  10%  
Midterm Exam  30%  
Final Exam  50%  
Total  100% 
Honesty in Academic Work
The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: May 14, 2018 09:26:53