1. Jan. 4/6: discuss partial and total derivatives, work out examples.
2. Jan. 11/13: optimization problems.
3. Jan. 18/20: Lagrangians for various systems (problems from first chapter).
4. Jan. 25/27: Conservation laws; systems with s=1 and simple generalizations.
5. Feb. 1/3: Central motion, planetary motion.
6. Feb. 8/10: Planetary motion.
7. Feb. 22/24: Small oscillations, forced oscillations; problems; solutions
8. March 1/3: Forced oscillations and small oscillations in systems with s >1; problems; solutions
9. March 8/10: Moments of inertia; problems; solutions
10. March 15/17: Motion of rigid bodies; problems; solutions
11. March 22/24: Motion of rigid bodies (cont'd); problems; solutions
12. March 29/31: Motion of rigid bodies (cont'd); problems; solutions
13. April 3/5: tutorial moved to next week (time to be announced).

Supplementary problems:

1. List 1: practice on Lagrangians, conservation laws, small oscillations.
2. List 2: practice on two-body problems, including planetary motion, Kepler's laws etc.
3. List 3: practice for rigid bodies.