Text: Nonlinear Dynamics and Chaos (2nd Edition), by S. Strogatz |

*If you stop caring about achievement, and actually care about*-- J.K.A. Smith.**learning**, you will get both.- Tristan Harris has written an article on the effects of technology.
- A podcast in which Tristan Harris talks with Sam Harris about the effects of technology.
- A meditation by Francis Edward Su entitled The Lesson of Grace in Teaching.
- An abbreviated syllabus.

- A summary of ODE results from Math 231.
- A gentle introduction to nonlinear dynamics by Math Insight.
- A careful study of the coupled mass-spring system by Temple Gray and Sarah Graham.
- Computer software
- Desmos: a graphing calculator which allows for parameters.
- WolframAlpha: an easy-to-use CAS.
- SAGE: a free open source CAS.
- SAGE reference manual
- Online tutorial by Vladimir Dobrushkin
- Quick reference guides: calculus (.pdf), linear algebra (.pdf)
- Quick tutorial: .pdf
- MATLAB: see class Google Drive folder
- Video demonstrations
- Strogatz demonstrates the chaotic waterwheel in a YouTube video.
- Strogatz demonstrates the double pendulum in a YouTube video.
- Strogatz gives six physical examples for which the dynamics are nonlinear.
- Synchronous fireflies in the Smoky Mountains.

Date |
10/09 | 11/21 | 12/12 (1330-1630) |

Exam |
Midterm 1 | Midterm 2 | Final |

Due Date |
Section |
Problems |

09/11 |
2.2 2.3 |
1,3,8,9 2,6 |

09/18 |
2.4 3.1 3.2 3.4 |
2,4 3 4 2,6,7,9,13 (use Matcont for 13) |

09/25 |
3.7 4.3 4.4 4.5 |
5 (use Matcont to generate bifurcation curves) 5 4 1 |

10/04 |
5.2 6.1 6.3 6.4 |
Use PPLANE for all nullclines/phase portraits 3,5,7,9 (classify only) 6,8,10 1,4,6 11 |

10/18 |
6.4 6.5 6.6 |
Use PPLANE for all phase portraits 5,10 2,7,13 1,7,9,10 |

10/25 |
6.8 7.1 7.2 |
Use PPLANE for all phase portraits 6,7 2,8 10,14 |

10/30 |
7.3 |
3,5,6 |

11/08 |
7.6 8.1 |
Use PPLANE for all nullclines/phase portraits 5,9,22,23 6,8,10 |

11/15 |
8.2 8.3 |
Use PPLANE for all phase portraits 5,6,9 1 |

11/25 |
10.2 10.3 |
4,5,6 3,4,5,10a |

12/09 |
10.3 10.5 11.3 |
7 (use 3x (mod 1)) 1,2 (use 3x (mod 1)) 3,8 |

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Last updated 11/25/19 |