2016

Partial Differential Equatios & SUNYIT (mat450/edmond), with Olver,  inspired by mit 18-152 notes and Salsa and Strauss,

HW:

8/30,9/1:   

1.1 What Are PDEs?                                  p4 / 1-4

     Classical Solutions                                 p8 / 5,6,10, 11a, 13

     Linearity and Superposition Principle       p13 / 17-28                      

9/6,8:

Methods for solving PDE's: guessing/ansatz, symmetry, separation of variables, more to come (this is the main goal of the course)

Examples: heat, wave, Laplace

help with homework problems                   catch up with HW,   verify the fundamental solution of the heat equ. and show that integral over x = 1 (for every t)

Review of eigenvalues, eigenvectors and systems of ODEs (Linear Dynamical Systems)

9/13,15:

3.1 Eigensolutions of Linear Evolution Equations      72 / 1,2 try

4.1 The Diffusion and Heat Equations                      138 / 1-8 try

4.2 The Wave Equation                                          145 / 1-3 try

Test 1 

Next:

2.1 Stationary Solutions                              p18 / 1,2,3,5

2.2 Transport Equation and Traveling Waves   p23 / 1,2 3,4

past courses:  2015