Math 442 Schedule
| Date |
Sections |
Homework |
Other readings |
Programs |
Homework Answers |
| 3/15(T) |
6.2 |
Homework 6: page 365 (1), page
372 (5), page 381(1b,1c), and convert Laplace equation to 3D spherical coordinates. |
a
solution for spherical Laplace Another one |
||
| 3/17(R) |
6.3 |
Hearing the shape of a drum | |||
| 3/22(T) |
6.4 |
Homework 7: page 365(2),
page 372 (6), Page 382 (2), (1) Use matlab pdetool to solve first 5 eigenvalues of Laplace operator with Dirichlet BC on an equilateral triangle with vertices (-1,0), (1,0) and (1.732,0) Identify and sketch the nodal regions of eigenfunctions. |
Possion's
equation Laplace
equation |
Matlab pdetool |
HW6: solution |
| 3/24(R) |
6.5 |
Laplace
in 3D spherical harmonics |
|||
| 3/29(T) |
6.5 |
Homework 8: page 395 (1,2,4,6a,7) |
HW7: 1 2
3 4 |
||
| 3/31(R) |
6.5 |
Laplace transform
Fourier
Transform Laplace tranform of Heviside Function |
Laplace
transform convolution |
||
| 4/5(T) |
7.1 |
Homework 9: page 429 (3b,3c,4),
page 433(1,2) |
Fisher's
equation Schrodinger's
equation |
||
| 4/7(R) |
7.2 |
first order PDE |
|||
| 4/12(T) |
7.3 |
Homework 10: page 452 (2a,2g,3,9) |
wave sine wave |
HW8: solution |
|
| 4/14(R) |
7.4 |
KdV
equation Soliton
Sine-Gordon
equation breather |
|||
| 4/19(T) |
No class |
Airy function
|
|||
| 4/21(R) |
7.4 |
Midterm exam 2 | wave equation | ||
| 4/26(T) |
Presentation |
Patrick King, Allison Corish |
|||
| 4/28(R) |
Presentation |
Cayla Wallwork, Yuan Zhou, Kevin
Ji |
Two-lane traffic-flow model paper (PRE 2010)
Red blood cell model paper
(Chaos 2009)
Cellular Automata approach of
biological models (JMB 1993)
