|
週次 |
日期 |
單元主題 |
|
第1週 |
02/23 |
Variational principles: Euler-Lagrange equation |
|
第1週 |
02/24 |
Isoperimetric problems |
|
第2週 |
03/02 |
Natural boundary condition & holonomic problems |
|
第2週 |
03/03 |
Optimal control |
|
第3週 |
03/10 |
Hamilton's principle of least action, and dimensional analysis |
|
第3週 |
03/09 |
Optimal control (cont.) |
|
第4週 |
03/17 |
Self-similar scaling solutions of differential. equations |
|
第4週 |
03/16 |
Dimensional analysis |
|
第5週 |
03/24 |
Boundary layer theory |
|
第5週 |
03/23 |
Perturbation methods for algebraic equations, and
Laplace method for integrals |
|
第6週 |
03/31 |
Weakly nonlinear problems:
Method of multiple time scales |
|
第6週 |
03/30 |
Boundary layer theory |
|
第7週 |
04/07 |
<font color=#ff0000> No class: 自我學習</font> |
|
第7週 |
04/06 |
<font color=#ff0000> No class: 溫書假</font> |
|
第8週 |
04/14 |
Method of multiple scales: linear and nonlinear pendulum |
|
第8週 |
04/13 |
Method of multiple scales |
|
第9週 |
04/21 |
<font color=#ff0000> No class: 自我學習</font> |
|
第9週 |
04/20 |
<font color=#ff0000> No class: 自我學習</font> |
|
第10週 |
04/28 |
WKB approximation: Turning point problem,
Homogenization: Averaging process in periodic media |
|
第10週 |
04/27 |
WKB method |
|
第11週 |
05/05 |
Long-wave asymptotics for PDE problems,
fast/slow dynamical systems |
|
第11週 |
05/04 |
<font color=#ff0000> No class: 開會請假</font> |
|
第12週 |
05/12 |
Reduced models for PDE problems (continued) |
|
第12週 |
05/11 |
Reduced models for PDE problems |
|
第13週 |
05/19 |
Modeling in applied fluid dynamics |
|
第13週 |
05/18 |
Reduced models for PDE problems (continued) |
|
第14週 |
05/26 |
Moments of the Boltzmann equation (Continued) |
|
第14週 |
05/25 |
Moments of the Boltzmann equation |
|
第15週 |
06/01 |
Boltzmann equation, Maxwell distribution,
H-theorem |
|
第16週 |
06/08 |
Equations of motion and variational principle |
|
第17週 |
06/15 |
Equations of motion and variational principle
(continued) |