| | Date | Lecture Topics | Assignments |
| 1: | Aug. 31 | Introduction; Newton's laws | |
2:
| Sep. 2
| Forces and Dissipation
| J+S Chapter 1.
|
| 3: | Sep. 7 | 1D systems | |
4:
| Sep. 9
| Lagrangian formulation: Contraints and coordinates
| Problem Set 1 due
|
| 5: | Sep. 14 | Hamilton's principle | J+S Sections 2.1, 2.2, 3.1.1, 3.1.2, 2.4.1 |
6:
| Sep. 16
| Central forces
| Problem Set 2 due
|
| 7: | Sep. 21 | Scattering | J+S Sections 2.3.1, 2.3.2, 4.1.1, 4.1.2 |
8:
| Sep. 23
| Symmetries and conservation laws
| Problem Set 3 due
|
| 9: | Sep. 28 | Linear Oscillations: Normal modes | J+S Section 3.2, 3.3, 4.2 |
10:
| Sep. 30
| Linear Oscillations: Symmetry considerations
| Problem Set 4 due
|
| 11: | Oct. 5 | Linear Oscillations: 1D chain | JESS notes on symmetry |
12:
| Oct. 7
| Linear Oscillations: Forcing and resonance
| Problem Set 5 due
|
| | | FALL BREAK | |
| 13: | Oct. 12 | Hamiltonian formulation | J+S Sections 5.1.1, 5.1.3. |
14:
| Oct. 14
| Poisson brackets
|
|
| 15: | Oct. 19 | Canonical transformations | J+S Sections 5.3.1, 5.3.3, 5.4.1. |
16:
| Oct. 21
| The Hamilton-Jacobi method
| MIDTERM EXAM (Problem Set 6) due
|
| 17: | Oct. 26 | Action-angle variables | J+S Sections 6.1, 6.2.1, 6.2.3, 6.4.1. |
18:
| Oct. 28
| Adiabatic invariance
| Problem Set 7 due
|
| 19: | Nov. 2 | Rigid body kinematics; Rotating frames | J+S Sections 8.1, 8.2 |
20:
| Nov. 4
| Rigid body dynamics: Euler angles and the heavy top
| Problem Set 8 due
|
| 21: | Nov. 9 | Nonlinear oscillations: Secular perturbation theory | J+S Sections 8.3.1, 8.3.3, 6.3 |
22:
| Nov. 11
| Nonlinear oscillations: Resonance, Bistability and hysteresis
| Problem Set 9 due
|
| 23: | Nov. 16 | Attractors and dissipative chaos | J+S Sections 7.1.1, 7.1.2, 7.2 |
24:
| Nov. 18
| Parametric resonance
| Problem Set 10 due
|
| | Nov. 23 | THANKSGIVING BREAK | |
| Nov. 25
| THANKSGIVING BREAK
|
|
| 25: | Nov. 30 | Hamiltonian chaos | J+S Sections 7.3, 7.5.1, 7.5.3 |
26:
| Dec. 2
| Review
| Problem Set 11 due
|
| | Dec. ?? | FINAL EXAM | |