The lecture notes were typed by students who took the class. Notes for lectures 7, 9, and 12 are not available.

LEC # | LECTURE NOTES | RELATED MATHEMATICA FILES |
---|---|---|

1 | Introduction and 8.01 refresher (PDF) | |

2 | Building up to PLA (PDF) |
With m2 free to swing, using F = ma |

3 | PLA and Lagrangian Workflow (PDF) |
Solving Equations of Motion (NB) with NDSolve in Mathematica |

4 | Mechanics of Lagrangians, and why L = T - U (PDF) | |

5 | Full example and conservation of Energy (PDF) | |

6 | Conservation of Momentum, and Center of Mass (PDF) | |

8 | Kepler’s Laws (PDF) | |

10 | Oscillators (PDF) | |

11 | Forced Oscillations (PDF) | |

13 | Damped Oscillations (PDF) |
Transfer Function Response Beats, anharmonic behavior, and sideways Kapitza Damped Vertically Driven Pendulum (NB) Parmetric resonance, Kapitza |

14 | Tricky Potentials (PDF) | |

15 | Introduction to Hamiltonian Mechanics (PDF) | |

16 | Poisson Brackets (PDF) | |

17 | Canonical Transforms (PDF) | |

18 | Connections (PDF) |