MATH4220 - Partial Differential Equations - 2018/19
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.
Lecture Notes
- Lec1
- Lec2
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- Lec11
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- Lec18
- Lec19
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- Lec21
- Lec22
Tutorial Notes
Assignments
- Homework 1
- Homework 2
- Homework 3
- Homework 4
- Homework 5
- Homework 6
- Homework 7
- Homework 8
- Homework 9
- Homework 10
- Homework 11
- Homework 12
- Homework 13
Quizzes and Exams
Solutions
- Answers_to_assignment_1
- Answers_to_assignment_2
- Answers_to_assignment_3
- Answers_to_assignment_4
- Answers_to_assignment_5
- Answers_to_assignment_6
- Answers_to_Midterm
- Answers_to_assignment_7
- Answers_to_assignment_8
- Answers_to_assignment_9
- Answers_to_assignment_10
- Answers_to_assignment_11
- Answers_to_assignment_12
- Answers_to_assignment_13
Assessment Scheme
| Two quizzes | 20% | |
| 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.
Assessment Policy Last updated: April 22, 2019 12:56:43