MATH4220 - Partial Differential Equations - 2016/17

Announcement

• Syllabus [Download file]
• 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.

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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

Tutorial Notes

• Tutorial (Prerequisite)
• Tutorial 1
• Tutorial 2
• Tutorial 3
• Tutorial 4
• Tutorial 5
• Tutorial 6
• Tutorial 7
• Tutorial 8
• Tutorial 9
• Tutorial 10
• Tutorial 11

Assignments

• Assignment 1 (due 9 Feb 2017)-2ND REVISED
• Assignment 2
• Assignment 3
• Assignment 4
• Assignment 5
• Assignment 6
• Assignment 7

Quizzes and Exams

• Quiz 1
• Mid-term Test
• Quiz 2

Solutions

• Solution for Assignment 1 (revised)
• Solution for Quiz 1
• Solution for Assignment 2
• Solution for Assignment 3
• Solution for Mid-term Test
• Solution for Assignment 4
• Solution for Assignment 5
• Solution for Quiz 2
• Solution for Assignment 6
• Solution for Assignment 7

Assessment Scheme

2 Homeworks		10%
2 Quizzes		10%
Midterm Exam		30%
Final Exam		50%
Total		100%

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.

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Last updated: April 21, 2017 09:36:31