MATH4220 - Partial Differential Equations - 2021/22
- Office: Room 237A, Lady Shaw Building
- Office: 614 Academic Building No. 1
Time and Venue
- Lecture: Monday 08:30 AM - 10:15 AM and Thursday 09:30 AM - 10:15 AM. Zoom meeting: 94850935968
- Tutorial: Thursday 08:30 AM - 09:15 AM, Science Centre L5.
Partial differential equation (PDE) is a fundamental tool for modeling natural phenomena. The main goal of this course is to present four classes of linear PDEs (Transport, Laplace, Heat, Wave), to introduce their fundamental properties, and to introduce the mathematical tools that are necessary for their study. Prerequisites for this course are the bases of Multivariable Calculus (Integration by parts, divergence theorem, Green's Identity, Stokes Formula, Gauss Formula, etc.), of linear algebra, and of mathematical analysis.
- Walter A. Strauss, Partial differential equations. An introduction. Second edition. John Wiley & Sons, Ltd., Chichester, 2008.
- L. Evans, Partial differential equations. Second edition. Graduate Studies in Mathematics, 19. American Mathematical Society, Providence, RI, 2010.
- Q. Han and F. Lin, Elliptic partial differential equations. Second edition. Courant Lecture Notes in Mathematics, 1. Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 2011.
- S. Alinhc, Hyperbolic partial differential equations. Universitext. Springer, Dordrecht, 2009.
- Tutorial Note I
- Tutorial Note II
- Tutorial Note III
- Tutorial Note IV
- Tutorial Note V
- Tutorial Note VI
- Tutorial Note VII
- Tutorial Note VIII
- Tutorial Note IX
- Tutorial Note X
- Tutorial Note XI
- Tutorial Note XII
- Tutorial Note XIII
Quizzes and Exams
- Solution to Homework I
- Solution to Homework II
- Solution to Homework III
- Solution to Homework IV
- Solution to Midterm Exam
- Solution to Homework V
- Solution to Final Exam
Assessment Policy Last updated: April 29, 2022 08:52:37