# MATH4220 - Partial Differential Equations - 2017/18

Course Year:
2017/18
Term:
2

### 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 16:30-18:15, LSB LT4; Thu 09:30-10:15, LSB LT4;
• Tutorial: Thu 08:30-09:15, LSB LT4

### Course Description

Objectives: First-order PDEs, Wave Equation, Diffusion Equation, Laplace Equation, Boundary-value Problems and Initial-boundary-value Problems, Well-posedness, 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, 1.1-1.6 Chapter 2, 2.1-2.5 Chapter 3, 3.1-3.5 Chapter 4, 4.1-4.3 Chapter 5, 5.1-5.4, 5.6 Chapter 6, 6.1-6.3 *Chapter 7, 7.1-7.4 (dependent on time) *Chapter 11, 11.1-11.3 (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.

### 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: