Description  Date 
Location and Time 
Remarks 
Test 1  Sept 28 
in class 
Study
guide. Solutions. 
Test 2  Nov 2 
in class 

Final Exam  Saturday, Dec 16 
3pm, location TBA 
Date  Material covered  Homework  Remarks 
Aug 24 
Introduction, motivations for PDEs. Class notes. Some notation and terminology.  
Aug 29  Formal definition of PDEs, homogeneous vs. nonhomogeneous, linear vs. nonlinear PDEs. Class notes.  HW 1.  HW 1 is due on Sept 7. Solutions to HW 1. 
Aug 31  Linear operators. First order PDEs. Class notes.  
Sept 5  First order equations. Introduction to the method of characteristics. Class notes.  HW 2. 
HW 2 is due on Sept 14. Solutions to HW 2. 
Sept 7  The method of characteristics. Burger's equation. Class notes.  
Sept 12  Limitations of the method of characteristics. Shocks. Class notes.  
Sept 14  Existence and uniqueness for first order quasilinear equations. Class notes.  
Sept 19  The wave equation. D'Alembert's formula. Class notes.  HW 3.  HW 3 is due on Sept 28. Solutions to HW 3. 
Sept 21  Finite propagation speed for the wave equation. Generalized vs classical solutions. Class notes.  
Sept 26  Review for the test.  
Sept 28  Test 1.  
Oct 3  Initialboundary value problem for the wave equation. Separation of variables. Class notes.  HW 4. 
HW 4 is due on Oct 17. Solutions to HW 4. 
Oct 5  Fourier series: basic ideas. Class notes.  
Oct 10  Formal aspects of Fourier series. Class notes. Summary of theorems.  
Oct 17  More on Fourier series: periodic functions and convergence of solutions to the wave equation. Class notes.  
Oct 19  The Fourier transform. Class notes.  HW 5.  HW 5 is due on Oct 31. 