# Classical Mechanics: | |

Short summary of Newtonian Mechanics and introduction to generalized coordinates |

Determining # of Independent coordinates and Kinetic energies |

Euler Lagrange Formalism, The Darboux Principle and non-conservative systems |

The Variational Principle including The Brachistochrone and tautochrone Problems |

Symmetries and conservation laws, self-similarity of Mechanical systems |

Legendre transform and Lagrange multipliers | |

The two Body Problem (including Kepler) and introduction to numerical calculations | |

The Hamiltonian | |

Cannoical transformations and Poisson brackets | |

Solid Body Rotation - The Euler equations | |

The Inertia tensor and solid body rotation in the Hamiltonian Fromalism | |

Normal Modes | |

The three body problem | |

Adiabatic Invariants | |