|
週次 |
日期 |
單元主題 |
|
第1週 |
2/24 |
Introduction |
|
第2週 |
3/03 |
Input function of gene expression. Please watch videos first, and we will discuss and finish PS1 in class. |
|
第3週 |
3/10 |
Ordinary Differential Equations for Dynamics
Saddle-Node Bifurcation |
|
第4週 |
3/17 |
Bifurcation analysis: transcritical and pitchfork bifurcations
Imperfect bifurcations |
|
第5週 |
3/24 |
Flows on the circle |
|
第6週 |
3/31 |
Preparation for 2-dimensional analysis: Basics of linear algebra
2-d Linear ODEs |
|
第7週 |
4/07 |
2-dimensional flow: Nonlinear ODEs |
|
第8週 |
4/14 |
review for midterm |
|
第9週 |
4/21 |
Midterm exam |
|
第10週 |
4/28 |
2-dimensional nonlinear dynamics, Hopf Bifurcation |
|
第11週 |
5/05 |
Preparation for Stochastic description of a dynamic system: basic probability and statics--Binomial and Poisson distributions |
|
第12週 |
5/12 |
Stochastic processes: Gaussian distribution, Correlation functions. |
|
第13週 |
5/19 |
Stochastic Processes: the Master equation and its simulation. |
|
第14週 |
5/26 |
Stochastic Processes: Langevin equations in simulation |
|
第15週 |
6/02 |
term project discussion 1 |
|
第16週 |
6/09 |
term project discussion 2 |
|
第17週 |
6/16 |
term project discussion 3 |