Lectures | Dates | Topic | Notes | Goldstein et al. Chapters and Sections |
---|---|---|---|---|

L1-2 | Sep. 8, 12 | Review of Newtonian dynamics | Notes | 1.1-1.2 |

L3-4 | Sep. 15, 19 | Constraints, generalized coordinates and Lagrange's equations | Notes | 1.3-1.4 |

L5 | Sep. 22 | Applications of Lagrange's Equations | Notes | 1.5-1.6 |

L6-7 | Sep. 26, 29 | Hamilton's principle, Calculus of Variations | Notes | 2.1-2.2 |

L8 | Oct. 3 | Lagrange's Equations from Hamilton's principle, Additional Constraints | Notes | 2.3-2.5 |

L8 | Oct. 3 | Cyclic coordinates, symmetries and conserved quantities | Notes | 2.6-2.7 |

L9-11 | Oct. 6, 10, 13 | Central Force | Notes | 3.1-3.10 |

L12-14 | Oct. 17, 20, 24 | Kinematics of rigid body motion | Notes | 4.1-4.10 |

L15-17 | Oct. 27, 31, Nov. 3 | Rigid body equations of motion | Notes | 5.1-5.7 |

L18-20 | Nov. 10, 14, 17 | Oscillations | Notes | 6.1-6.6 |

L21-22 | Nov. 21, 22 | Hamilton equations of motion | Notes | 8.1-8.6 |

L23-25 | Nov. 28, Dec. 1, 5 | Differential forms and all that | Notes | None |

L25-26 | Dec. 5, 8 | Canonical Transformations, Poisson bracket | Notes | 9.1-9.9 |

L28 | Dec. 12 | Hamilton-Jacobi theory, adiabatic invariants | Notes | 10.1-10.4,10.6-10.7, 12.5 |