# MATH4220 - Partial Differential Equations - 2018/19

Course Year:
2018/19
Term:
2

### Announcement

• The Midterm exam will be on March 7 from 08:30 to 10:15. Chapter 1 to 4.
• The second quiz will be on April 11 from 09:30-10:15 am. Chapter 4 to 6.

### General Information

#### Lecturer

• Guohuan Qiu
• Office: SCN 334
• Tel: 3943 5137
• Email:
• Office Hours: Every Monday & Thursday 2:00pm to 3:00pm

#### Teaching Assistant

• Zhu, Zhang
• Office: LSB 232
• Tel: 3943 5294
• Email:

#### Time and Venue

• Lecture: Mo 10:30 - 12:15, LSB LT4; Th 09:30 - 10:15, LSB LT4
• Tutorial: Th 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: 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 one assignment per week (will be given in class), all of them have to be handed into TA before Tuesday. Your TA will answer questions from the homework.

Quiz: There will two quizzes.

Midterm: One.

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

 Two quizzes 20% Midterm Exam 30% Final Exam 50% Total 100%