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 | |