# MATH4220 - Partial Differential Equations - 2016/17

Course Year:
2016/17
Term:
2

### Announcement

• The Assignment 1 which will account for the final grade should be submitted on or before 9 Feb to the Assignment Box.
• The Midterm Test is scheduled on March 9, 2017.

### General Information

#### Lecturer

• Professor Zhouping Xin
• Office: AB1 701
• Tel: 3943 4100
• 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 C2; Thu 17:30-18:15, LSB C1
• Tutorial: Thu 18:30 - 19:15, LSB C1

### 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: - Simple ODEs (1st order and 2nd order ODEs); - Multivariable Calculus (Integration by parts, Green's Identity, Stokes Formula, Gauss Formula, etc.); - Some linear algebra and mathematical analysis.

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%