Introduction, Configuration
space, Equations of Motion, Velocity Phase Space. updated 8/31/16 |
The Action, The Lagrangian and
Hamilton's Principle. updated 9/12/16 |
Some Examples. updated 9/19/16 |
Constraints and
Lagrange Multipliers. updated 9/21/16 |
Symmetries and Conservation
Laws updated 9/28/16 |
First integrals. Reduction.
The 2-body problem. updated 10/12/16 |
The Kepler Problem. updated 10/17/16 |
Small Oscillations. Forced
Oscillations. updated 10/24/16 |
Normal Modes. updated 11/2/16 |
Hamiltonian Formalism:
Hamilton's equations. Conservation laws. Reduction.
Poisson Brackets. updated 11/21/16 |
Hamilton's
Principle. Canonical Transformations. updated 11/29/16 |
Infinitesimal
Canonical Transformations. Symmetries and
Conservation Laws. updated 12/11/16 |