Course Information
Instructor  Dr. Changhui Tan 
Lectures  Tu Th 9:25am  10:40am, at HBH 227 
Office  HBH 328 
Office Hours  Tu Th 10:40am  11:40pm, or by appointment 
Teaching Assistants  Andy Huang, at HBH 45. This email address is being protected from spambots. You need JavaScript enabled to view it., at HBH 14. 
TA Office Hours  M W 3pm  4pm, at either HBH 45 or HBH 14. 
Textbooks (Required)  Lawrence C. Evans, Partial Differential Equations. (ISBN: 9780821849743) 
References  Fritz John, Partial Differential Equations. (ISBN: 9780387906096) 
Walter A. Strauss, Partial Differential Equations: An Introduction. (ISBN: 9780470054567) 
Course Description
 The official course description on MATH/CAAM 423.
 List of Topics:

 First order linear and nonlinear PDE:
 Transport equation, method of characteristics, local existence theory.  Second order linear PDE, 3 basis equations:
 Wave equation: causality and energy, plane wave, traveling wave and solitons.
 Laplace equation: fundamental solution, Green's function, potential theory.
 Heat equation: maximum principle, regularity.  Second order elliptic equations:
 Sobolev spaces, weak solution and regularity.  Asymptotic methods:
 the method of stationary phase, geometrical optics, singular perturbation methods.  Selected topics (if time permits):
 HamiltonJacobi equations and calculus of variations
 Hyperbolic conservation laws
 First order linear and nonlinear PDE:
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: 11/24, Homework 13 is available, due on Thursday 12/3 in class.
Homework #  1  2  3  4  5  6  7 
Due  9/1  9/8  9/15  9/22  9/29  10/6  10/15 
Download  [H1]  [H2]  [H3]  [H4]  [H5]  [H6]  [H7] 
Homework #  8  9  10  11  12  13  
Due  10/27  11/3  11/10  11/17  11/24  12/3  
Download  [H8]  [H9]  [H10]  [H11]  [H12]  [H13] 
Exams
 There will be one midterm exam and one final exam (at the end of semester).
 Midterm is now available. You can download the exam HERE. It is a 2hour exam with a total of 110 points. You can also choose to finish it in 3 hours. If so, 10 Points will be deducted, and the total will be 100 points. You can use the textbook, your own lecture notes and your own homework assignments during the exam. Other communications and helps are not allowed. You should spend no more than 2 consecutive hours on the exam.
 The solution for midterm exam is avaiable HERE.
 Final exam is now available. You can download the exam HERE. It is a 3hour exam with a total of 110 points. You can also choose to finish it in 4 hours. If so, 10 Points will be deducted, and the total will be 100 points. You can use the textbook, your own lecture notes and your own homework assignments during the exam. Other communications and helps are not allowed. You should spend no more than 3 (or 4) consecutive hours on the exam. Please submit your exam to my office on Monday December 7th, between 10am12pm, 2pm4pm.
 The solution for final exam is avaiable HERE.
 Exams are under honor code. Be sure and hand in all the work you do on each problem. Good luck!
Grades
 Your grade are distributed as below:

Homeworks » 40% Midterm exam » 25% Final exam » 35%
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. Or you can leave a comment below.