MASSACHVSETTS INSTITVTE OF TECHNOLOGY
	       Classical Mechanics 6.946, 8.351, 12.620

Week 7: 

 Assignment 7: Due 30 October 2009
   Exercises: 3.8, 3.10, 3.13


Read: 3.2, 3.3, 3.4
18: Phase-Space Reduction, Poisson Brackets

Read: 3.5, 3.6 through 3.6.2
19: Evolution and Surfaces of Section

Read: 3.6.3, 3.6.4
20: Autonomous Systems: Henon and Heiles


Week 8:

 Assignment 8: Due 6 November 2009
   Exercises: 4.1, 4.2
   Also remember, your project is due 13 November.


Read: 3.7
21: Exponential Divergence, Lyapunov Exponents

Read: 3.8, 3.9
22: Liouville Theorem, Poincare recurrence

Read: 4.1, 4.2
23: Linear Stability


Week 9:

 Assignment 9: Due 13 November 2009
   Exercises: 4.3, 4.4, 4.5

Read: 4.3
24: Homoclinic Tangle

Read 4.4
25: Integrable systems

Read: 4.5
26: Poincare-Birkhoff theorem


Week 10:
 Assignment 10: Due 20 November 2009
   Exercises: 4.6, 5.1, 5.4, 5.5,

Read: 4.6
27: KAM -- Invariant Curves

Wednesday is Veteran's Day holiday

Read: 5.1, 5.2, 5.3, 5.4
28: Canonical Transformations
     point transforms, symplectic conditions