This note describes the
following topics: The Calculus of Variations, Fermat's Principle of Least
Time, Hamilton's Principle and Noether's Theorem, Mechanical Similarity,
Hamilton's Equations, Poisson Brackets, A New Expression for the Action,
Maupertuis' Principle, Canonical Transformations, Liouville's Theorem, The
Hamilton-Jacobi Equation, Adiabatic Invariants and Action-Angle Variables,
Mathematics for Orbits, Keplerian Orbits, Elastic Scattering, Small
Oscillations, Driven Oscillator, One-Dimensional Crystal Dynamics,
Parametric Resonance, The Ponderomotive Force, Resonant Nonlinear
Oscillations, Rigid Body Motion, Moments of Inertia, Rigid Body Moving
Freely, Euler Angles, Eulers Equations, Non Inertial Frame, Coriolis effect,
A Rolling Sphere on a Rotating Plane.

**Author(s):** Michael Fowler

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