MATH724 Differential Equations II Spring 2020

Course Information

Instructor Dr. Changhui Tan
Lectures T Th 11:40am - 12:55pm, at LeConte 121
Office LeConte 422
Office Hours T Th 10:00am - 11:00pm, or by appointment
Textbooks Lawrence C. Evans, Partial Differential Equations. (ISBN: 978-0821849743)


Course Description

  • The official course description for the MATH 723/724 sequence:
  • Elliptic equations: fundamental solutions, maximum principles, Green’s function, energy method and Dirichlet principle; Sobolev spaces: weak derivatives, extension and trace theorems; weak solutions and Fredholm alternative, regularity, eigenvalues and eigenfunctions.
  • Detailed study of the following topics: method of characteristics; Hamilton-Jacobi equations; conservation laws; heat equation; wave equation; linear parabolic equations; linear hyperbolic equations.
  • List of Topics (for MATH 724):


Homework Assignments

  • Homework assignments will be assigned and collected each week. The tentative due date is on Tuesday in class.
  • The homework is not pledged. You are encouraged to discuss the problems. However, each student is responsible for the final preparation of his/her own homework papers.
  • Last update: 2/11, homework 3 is available. It is due on Tuesday 2/18 in class.
  •  Download Homework Assignments.



  • There will be a take-home final exam, or a project. The details will be announced later. The exam/project will be open-book.



  • Your grade are distributed as below:
  • Class Participation » 10%
    Homework » 50%
    Final exam / project » 40%


Contact Information

  • Contact me at This email address is being protected from spambots. You need JavaScript enabled to view it. if you have any questions.