Lecture notes and materials

1. 2009-02-03:  Introduction. Method of characteristics for quasilinear equations.
   
   
2. 2009-02-05:  General solutions. Lagrange Method. Burger's equation.
   
   
3. 2009-02-06:  1st order PDE: general nonlinear equations: method of characteristic strips and envelopes.
   
   
4. 2009-02-10:  Problem set I (and solutions)
   
   
5. 2009-02-12:  Introduction in higher order PDE
   
   
6. 2009-02-13:  Classification of the second order linear PDE
   
   
7. 2009-02-17:  The one-dimensional wave equation
   
   
8. 2009-02-19:  The higher-dimensional wave equation
   
   
9. 2009-02-20:  Problem set II (and solutions ,part I)
   
   
10. 2009-02-24:  The Laplace equation, I
    
    
11. 2009-02-26:  The Laplace equation, II: Mean Value Theorem and applications
    
    
12. 2009-02-27:  The Laplace equation, III: The fundamental solution, Green's function and the Poisson kernel
    
    
13. 2009-03-03:  The heat equation. Eigenfunction expansion
    
    
14. 2009-03-05:  The heat equation: the fundamental solution
    
    
15. 2009-03-10:  Problem set III and solutions