Math4052: Partial Differential Equations

Syllabus - Spring 2019

Course Home Page

http://www.math.ust.hk/~mamu/courses/4052/hom.htm

Please check the course home page regularly during the semester for news regarding the course.

Instructor

Mo Mu

Contact Details: Rm 3436; phone: 2358-7446; e-mail: mamu@ust.hk

Office Hour: Tuesday, 10:30 - 11:30 am

Teaching Assistants

Hu Wei/whuaeLo

Meeting Time and Venue

L1: TT 12:00 - 1:20pm, Room 2503

Course Description

Refer to University calendar

Student Learning Resources

Textbooks:

David Borthwick, Introduction to Partial Differential Equations, Springer (e-book purchase directly from the Springer website: www.springer.com )

References:

Partial differential equations, an introduction, Walter A. Strauss,  The second edition, John Wiley & Sons,  Ltd.

Teaching Approach

Lectures: focus on illustrating the concepts of the course content.

Tutorials: focus on examples and problem solving skills.

Intended Learning Outcomes

Upon successful completion of this course, students should know the following:

1. How to solve first order conservation equations;

2. How to solve second order wave equations;

3. How to use separation of variables to solve PDEs;

4. How to use Fourier analysis to do PDE analysis;

Assessment Scheme

There will be 8-10 homework assignments (HW1)and a final exam. The final grade is determined by homeworks (40%) + final  exam (60%)

Formula sheet

P53

Diffusion Equation, 1D

Green’s Function

Assessing Course ILOs:

Assignments and Final exam: 1, 2, 3, 4

Course Topics

1. Introduction & first-order equations
2. Wave  equations and diffusion equations
3. Boundary value problems, separation of variables
4. Fourier series 
5. Laplace's equation
6. Green's function
7. A brief introduction of some PDEs from physics and nonlinear PDEs