Week |
Date |
Topic/Materials |
Skill/Homework/Test |
|
|
Text |
Other |
|
1 |
March 30 |
Introduction |
| | 1: Euler's method and beyond |
|
March 31 |
1.1 |
Numerical ordinary differential equations; Lipschitz continuity |
read chapter 1 |
|
April 2 |
1.2 |
Euler method |
Mathematical autobiography due |
|
April 3 |
1.3 |
|
homework problem numbers to be announced |
2 |
April 6 |
1.4 |
|
|
| | 2: Multistep methods |
|
April 7 |
2.1 |
Linear multistep method |
read chapter 2 |
|
April 9 |
2.2 |
|
|
April 10 |
2.3 |
|
Layout skill starts |
3 |
April 13 |
|
|
(drop deadline) |
| | 3: Runge-Kutta methods |
|
April 14 |
3.1 |
Runge-Kutta methods; Gaussian quadrature |
read chapter 3 |
|
April 16 |
3.2 |
Explicit and implicit methods |
|
April 17 |
3.3 |
|
Flow skill starts |
4 |
April 20 |
3.4 |
|
|
|
April 21 |
|
|
|
| | 4: Stiff equations |
|
April 23 |
4.1 |
Stiff equation |
read chapter 4 |
|
April 24 |
4.2 |
|
Logic skill starts |
5 |
April 27 |
4.3 |
|
|
|
April 28 |
4.4 |
|
|
|
April 30 |
Review |
|
|
May 1 |
| |
Test on Chapters 1-4 |
| | 8: Finite difference schemes |
6 |
May 4 |
8.1 |
Poisson's equation; Discrete Poisson equation; Finite difference |
read chapter 8 (drop deadline with WP/WF) |
|
May 5 |
8.2 |
|
|
|
May 7 |
8.3 |
|
|
|
May 8 |
|
|
Intros skill starts |
| | 16: The diffusion equation |
7 |
May 11 |
16.1 |
Diffusion equation |
read sections 16.1-3 |
|
May 12 |
16.2 |
|
|
|
May 14 |
16.3 |
|
read sections 16.4-6 |
|
May 15 |
16.4 |
|
Symbols skill starts |
8 |
May 18 |
16.5 |
|
|
May 19 |
16.6 |
|
Project outline due |
| | 17: Hyperbolic equations |
|
May 21 |
17.1 |
Hyperbolic partial differential equation; Advection |
read sections 17.1-3 |
|
May 22 |
17.2 |
|
Graphs skill starts |
9 |
May 25 |
Memorial Day, no class |
|
May 26 |
17.3 |
|
read sections 17.4-5 |
|
May 28 |
17.4 |
Wave equation |
|
May 29 |
17.5 |
Burgers' equation |
10 |
June 1 |
|
|
Project presentations |
|
June 2 |
|
|
Project presentations |
|
June 4 |
|
|
Project presentations |
|
June 5 |
Review |
|
Project reports due
|
11 |
June 12 |
Friday, 12:40pm in our regular classroom |
Final Exam |