MATH4220 - Partial Differential Equations - 2022/23

Course Name: 
Partial Differential Equations
Teacher: 
Prof. Xu YUAN
Course Year: 
2022/23
Term: 
2

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


Solutions


Assessment Scheme

Assignments 10%
Midterm Exam 30%
Final Exam 60%

Assessment Policy

Last updated: March 06, 2023 17:57:16