MATH4220  Partial Differential Equations  2022/23
General Information
Lecturer

Xu YUAN
 Office: Room 237A, Lady Shaw Building
 Email:
Teaching Assistant

Junhao ZHANG
 Office: Room 232, Lady Shaw Building
 Email:
Time and Venue
 Lecture: Monday 08:30 AM  10:15 AM and Thursday 09:30 AM  10:15 AM.
 Tutorial: Thursday 08:30 AM  09:15 AM
Course Description
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.
Textbooks
 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.
References
 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.
Lecture Notes
Tutorial Notes
Assignments
Quizzes and Exams
Solutions
 Solution to Homework I
 Solution to Midterm Exam
 Solution to Makeup Midterm Exam
 Solution to Homework II
 Solution to Homework III
 Solution to Homework IV
Assessment Scheme
Assignments  10%  
Midterm Exam  30%  
Final Exam  60% 
Assessment Policy Last updated: April 26, 2023 11:02:45