# MATH4220 - Partial Differential Equations - 2019/20

Course Year:
2019/20
Term:
2

### Announcement

• The course in zoom will be on every Monday and Thursday with ID: 771-323-149 and Password: 903648.
• For Homework submission please see the website: https://help.blackboard.com/Learn/Instructor/Assignments. You can scan your homeworks and then send them to the "blackboard".
• Mid-term examination will be on April 9, from 8:30 am to 10:15 am. Please see details in the above PDF file.
• The Final will be on May 14 from 13:30 to 16:30. I will upload the question paper to the blackboard before 13:30. You should submit your answers to the blackboard before 17:00. If you have any questions, you can find me in the zoom meeting (Meeting ID：935 4563 5905 Password：026639 ).

### General Information

#### Lecturer

• Guohuan Qiu
• Office: Room 237, Lady Shaw Building
• Tel: (852) 3943-5137
• Email:
• Office Hours: Every Monday & Thursday 10:00 am to 12:00am

#### Teaching Assistant

• Yiping Yang
• Office: LSB 232
• Tel: 39435294
• Email:
• Office Hours: Monday 12:30 to 15:30

#### Time and Venue

• Lecture: Monday 8:30AM - 10:15AM, Lady Shaw Bldg LT4; Thursday 9:30AM - 10:15AM, Lady Shaw Bldg LT4.
• Tutorial: Thursday 8:30AM - 9:15AM, Lady Shaw Bldg 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: Multivariable Calculus (Integration by parts, divergence theorem, 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 one assignment per week (will be posted on the website), all of them have to be handed into TA on Thursday. Your TA will grade and answer questions from the homework.

Quiz: One.

Midterm: One.

Final Exam: One.

### Textbooks

• Walter A. Strauss, Partial Differential Equations, An Introduction, John Wiley & Sons, Inc., second edition..

### 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

 assignments 20% One quiz 10% Midterm Exam 20% Final Exam 50%