This is intended to be both a crash course for undergraduate math majors in classical mechanics, and a crash course for undergraduate physicists in the conceptual ideas mathematicians use from mechanics.  It is difficult to go on and do advanced mathematical physics, especially the sort used today, without a basic understanding of both the examples and the ideas used in mechanics.

Tentative list of lectures

 1. Newton's Laws, examples, equilibrium states

2. Small Vibrations about Equilibria

3. Kepler's Laws (and other central force problems)

4. Basic Conservation Laws

5. Minimizing functions like energy and area

6. An introduction to Lagrangian mechanics

7. Symmetry and Noether's Theorem

8. Student presentations

9. Student presentations

 There will be a long list of projects, which range from working out the standard examples, to looking at further basic ideas such as Hamilton's formulation of mechanics and symmetry groups. For students less interested in physics, we have lots of problems to work on from biology.