|
Week |
Sections |
Topics |
| Jan 13 |
|
1.1 Logistic ODE, Hubbert
Curve
1.2 Difference Equation, Period Doubling |
| Jan 20 |
|
1.3 Numerical ODEs
2.1 Nonlinear ODEs
2.2 Examples |
| Jan 27 |
|
2.3 Phase-plane analysis |
| Feb 3 |
|
2.4 Bifurcations
2.6 Limit Cycles |
| Feb 10 |
|
2.7 Strange Attractors
2.9 Poincare Sections |
| Feb 17 |
|
3.1 1D Maps
3.2 Stability
3.3 Cobweb Diagram
3.4 Period Doubling->Chaos |
| Feb 24 |
|
3.5 Lorenz Maps
3.6 Lyapunov Exponent
3.7 2D Maps |
| Mar 2 |
|
3.10 Controlling Chaos
4.1 KdV Solitons
4.4.1/2 Numerical Simulation |
|
Spring
Vacation - Mar 7-15 |
| Mar 16 |
|
Extended Spring Break |
| Mar 23 |
|
4.4.5 Numerical Stability
5.1 Nonlinear Drag
5.2 Nonlinear Lift |
| Mar 30 |
|
5.3 Pendulum
5.4 Nonlinear Springs
5.5 Nonlinear Resonance |
| Apr 6 |
|
5.6 Precession of Mercury
5.7 Saturn's Rings
5.8 Hamiltonian Chaos |
| Apr 9 |
|
Holiday |
| Apr 10 |
|
Holiday |
| Apr 13 |
|
|
| Apr 20 |
|
|
| Apr 27 |
|
|
|
Apr 30 |
|
Reading Day |