| Lectures |
Dates |
Topic |
Notes |
Goldstein et al. Chapters and Sections |
|
L1-2 | Sep. 8, 12 | Review of Newtonian dynamics |
Notes
| 1.1-1.2
|
|
L3-4 | Sep. 15, 19
| Constraints, generalized coordinates and Lagrange's equations
| Notes
|
1.3-1.4
|
|
L5 | Sep. 22
| Applications of Lagrange's Equations
| Notes
|
1.5-1.6
|
|
L6-7 | Sep. 26, 29
| Hamilton's principle, Calculus of Variations
| Notes
|
2.1-2.2
|
|
L8 | Oct. 3
| Lagrange's Equations from Hamilton's principle, Additional Constraints
| Notes
|
2.3-2.5
|
|
L8 | Oct. 3
| Cyclic coordinates, symmetries and conserved quantities
| Notes
|
2.6-2.7
|
|
L9-11 | Oct. 6, 10, 13
| Central Force
| Notes
|
3.1-3.10
|
|
L12-14 | Oct. 17, 20, 24
| Kinematics of rigid body motion
| Notes
|
4.1-4.10
|
|
L15-17 | Oct. 27, 31, Nov. 3
| Rigid body equations of motion
| Notes
|
5.1-5.7
|
|
L18-20 | Nov. 10, 14, 17
| Oscillations
| Notes
|
6.1-6.6
|
|
L21-22 | Nov. 21, 22
| Hamilton equations of motion
| Notes
|
8.1-8.6
|
|
L23-25 | Nov. 28, Dec. 1, 5
| Differential forms and all that
| Notes
|
None
|
|
L25-26 | Dec. 5, 8
| Canonical Transformations, Poisson bracket
| Notes
|
9.1-9.9
|
|
L28 | Dec. 12
| Hamilton-Jacobi theory, adiabatic invariants
| Notes
|
10.1-10.4,10.6-10.7, 12.5
|