These are notes for a mathematics graduate course on classical mechanics. I've taught this course twice recently. The rst time I focused on the Hamiltonian approach. This time I started with the Lagrangian approach, with a heavy emphasis on action principles, and derived the Hamiltonian approach from that. Derek Wise took notes.
The chapters in this LATEX version are in the same order as the weekly lectures, but I've merged weeks together, and sometimes split them over chapter, to obtain a more textbook feel to these notes. - John C. Baez