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".

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: There are two quizzes.

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.

Lecture Notes


Tutorial Notes


Assignments


Quizzes and Exams


Assessment Scheme

assignments 10%
Two quizzes 20%
Midterm Exam 20%
Final Exam 50%

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:

http://www.cuhk.edu.hk/policy/academichonesty/

and thereby help avoid any practice that would not be acceptable.


Assessment Policy

Last updated: February 24, 2020 11:25:12