週次 |
日期 |
單元主題 |
Week 1 |
9/13 |
Introduction to asymptotic expansion of integrals |
Week 2 |
9/20 |
Laplace's method, Sterling's formula |
Week 3 |
9/27 |
Typhoon break. Homework 1 due at 6:00 pm on Oct. 3. |
Week 4 |
10/04 |
Method of satationary phase, Method of steepest descent |
Week 5 |
10/11 |
Method of steepest descent |
Week 6 |
10/18 |
Asymptotic expansion of ordinary differential equations |
Week 7 |
10/25 |
Introduction to regular perturbation theory |
Week 8 |
11/01 |
Perturbation of ODE's, dominant balance, boundary layer theory |
Week 9 |
11/08 |
Midterm |