| Date |
Topic |
Practice |
To Hand In |
Due Date |
| 1/26-1/30 |
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| M | 1 Overview | Read Chapter 1 | ||
| T |
Lab #1 Introduction to Mathematica | |||
| W |
2.1-2 Flows on the line | 2.1.1, 2.2.1, 2.2.10 | 2.1.2, 2.1.3, 2.2.3, 2.2.4 |
Mon |
| F |
2.3 Population growth |
2.3.1, 2.4.1, 2.4.2 | 2.3.2, 2.3.4, 2.4.4, 2.4.7 | Wed |
| 2/2-2/6 |
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| M |
2.5 Existence and uniqueness |
2.5.2 | 2.5.1, 2.5.4, 2.5.6 | Fri |
| T |
Lab #2 Euler's Method | |||
| W |
2.6-7 Potentials | 2.6.1, 2.7.1, 2.7.2 | 2.7.3, 2.7.4, 2.7.6 , 2.7.7 | Mon |
| F |
3.1 Saddle-node bifurcation | 3.1.1 | 3.1.2, 3.1.4, 3.1.5 | Wed |
| 2/9-2/13 |
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| M |
3.2 Transcritical bifurcation | 3.2.1 | 3.2.3, 3.2.5, 3.2.6 | Fri |
| T |
Lab #3 Bifurcation diagrams | |||
| W |
3.3 Laser threshold | 3.3.1, 3.3.2 | Mon | |
| F |
3.4 Pitchfork bifurcation | 3.4.1, 3.4.3 | 3.4.4, 3.4.5, 3.4.6, 3.4.7, 3.4.10 | Wed |
| 2/16-2/20 |
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| M |
3.4 cont'd | 3.4.11, 3.4.16 | Fri |
|
| T |
Lab #4 Bifurcation diagrams 3.4.13 | |||
| W |
3.5 Overdamped bead on a rotating hoop | 3.5.1, 3.5.2 | 3.5.7, 3.5.8 | Mon |
| F |
3.6 Imperfect Bifurcations | 3.6.1 | 3.6.2, 3.6.3, 3.6.4 | Wed |
| 2/23-2/27 |
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| M |
3.7 Insect Outbreak | 3.7.1 | 3.7.6 |
Fri |
| T |
Lab#5 Tricritical bifurcation |
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| W |
4.1 Flows on the circle 4.2 Uniform oscillator |
4.1.2,4.1.4 | 4.1.3, 4.1.7, 4.1.8 | Wed |
| F |
4.3 Nonuniform oscillator | 4.3.1 | 4.3.3, 4.3.6, 4.3.9 | Fri |
| 3/2-3/6 |
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| M | Exam 1 (take-home) | Review and practice exam | ||
| T |
Lab #6 Biochemical switch 3.7.5 | |||
| W |
4.5 Fireflies | 4.5.1 | Mon | |
| F |
5.1 Linear systems | 5.1.2-4 | 5.1.10, 5.1.11 | Wed |
| 3/9-3/13 |
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| M |
5.2 Classification (eigenvalue analysis) | 5.2.1, 5.2.2 | 5.2.3, 5.2.5, 5.2.7, 5.2.9 | Fri |
| T |
Lab #7 Eigenvalues and stability of dynamical systems | |||
| W |
5.2 cont'd | |||
| F |
5.3 Love affairs | 5.3.6 | 5.3.3, 5.3.4, 5.3.5 | Mon |
| 3/14-3/22 |
Spring recess | |||
| 3/23-3/27 | ||||
| M |
6.1-2 Phase portraits | 6.1.1 | 6.1.2, 6.1.3, 6.1.6, 6.2.2 | Fri |
| T |
Lab #8 Nonlinear systems | |||
| W |
6.3 Fixed points and linearization | 6.3.1 | 6.3.2, 6.3.3, 6.3.6, 6.3.11 | Mon |
| F |
6.4 Rabbits vs sheep |
6.4.1 |
6.4.6 |
Wed |
| 3/30-4/3 |
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| M |
6.5 Conservative systems | Lab #9 Conservative systems 6.5.19 |
Fri | |
| T |
No class | |||
| W |
6.6 Reversible systems | Read 6.7 | 6.6.3 | Mon |
| F |
7.1 Limit cycles | 7.1.1 | 7.1.5, 7.1.8 | Wed |
| 4/6-4/10 |
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| M |
7.2 Liapunov functions | 7.2.4, 7.2.5 | 7.2.6, 7.2.7, 7.2.10, 7.2.13 | Mon |
| T |
Lab #10 Limit cycles | |||
| W |
7.3 Poincare-Bendixson theorem | Read 7.4 |
7.3.1, 7.3.4 |
Wed |
| F |
7.5 Relaxation oscillators | 7.5.5 | Mon | |
| 4/13-4/17 |
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| M |
7.6 Weakly nonlinear systems |
Project proposal due today |
||
| T |
Lab #11 Scroll circuit | |||
| W |
7.6, cont'd | 7.6.5, 7.6.7, 7.6.17 | Mon | |
| F |
Exam 2 | Review problems and practice exam | ||
| 4/20-4/24 |
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| M |
8.1 Bifurcations revisited | 8.1.1-4 | 8.1.6, 8.1.13 | Wed |
| T |
Lab #12 Chemical oscillator | |||
| W |
8.2 Hopf bifurcations |
8.2.2, 8.2.3, 8.2.5 | Mon | |
| F |
8.3 Oscillating chemical reactions | 8.3.1 Project outline due today |
Wed | |
| 4/27-5/1 |
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| M |
9.0 Lorenz equations 9.1 Chaotic water wheel |
9.1.3 | Fri | |
| T |
Lab #13 Lorenz equations | |||
| W |
9.2 Properties of Lorenz eqs | 9.2.2 | Fri | |
| F |
9.3,5 Chaos on a strange attractor | |||
| 5/4-5/8 |
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| M |
Exam 3: take home, due 4pm Wed May 13 | |
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| T |
Watch Strogatz's demos of chaos |
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| W | Work on project | |||
| F | Work on project (due 4pm Mon May 11) | |||
| No final exam |