Please check back regularly for updates with each week’s topics (the general outline of the course can be found in the syllabus below.) The reading assignments refer to Lemos’ (L) and Goldstein’s (G) books, respectively.
Week | Dates | Topics | Reading | Homework | Due |
---|---|---|---|---|---|
1 | W 9/1 - F 9/3 |
Logistics, Themes, Netwonian Mechanics Recap | L: 1.1 G: 1.1-1.2 |
HW01 | 9/10 |
M 9/6 | Labor Day (no classes) | ||||
2 | W 9/8 - F 9/10 |
Newtonian Mechanics Recap (cont’d), Constraints, D’Alemberts Principle | L: 1.2-1.3 G: 1.3-1.4 |
HW02 | 9/17 |
3 | M 9/13 - F 9/17 |
Lagrange Equations, Principle of Least Action, Variational Calculus | L: 1.4-1.5, 2.1-2.4 G: 2.1-2.4 |
HW03 | 9/24 |
4 | M 9/20 - F 9/24 |
Constraints Revisited, Symmetries, Noether’s Theorem | L: 2.4-2.7 G: 2.6-2.7 |
HW04 | 10/1 |
5 | M 9/27 - F 10/1 |
Symmetries (cont’d), Velocity-Dependent Potentials, Dissipation | L: 1.6 G: 1.5 |
– | – |
6 | M 10/4 - F 10/8 |
Dissipation (cont’d), Recap | L: 1.6 G: 1.5 |
HW06 | 10/15 |
F 10/8 | Midterm 1 | ||||
7 | M 10/11 - F 10/15 |
Central Forces, Effective Potentials, Orbits | L: 1.7 G: 3.1-3.3, 3.5-3.7 |
HW07 | 10/22 |
8 | M 10/18 - F 10/22 |
Kepler Problem, Scattering | L: 1.7 G: 3.9-3.11 |
HW08 | 10/29 |
M 10/25 - T 10/26 |
Break Days | ||||
9 | W 10/27 - F 10/29 |
Orbital Dynamics, Three-Body Problem | L: 3.1-3.5, G: 3.11-3.12, 4 | HW09 | 11/5 |
10 | M 11/1 - F 11/5 |
Rotating Frames, Euler Angles, Inertia Tensor | L: 3, 4.1-4.5 G: 4 |
– | – |
11 | M 11/8 - F 11/12 |
Rigid Body Dynamics | L: 4.6-4.9, G: 5 |
HW11 | 11/20 |
F 11/12 | Midterm 2 (tentative) | ||||
12 | M 11/15 - F 11/19 |
Spinning Top, Coupled Oscillators, Normal Modes | L: 4.9, 5.1, 5.3-5.7 G: 6.1-6.5 |
HW12 | 11/29 |
13 | M 11/22 - W 11/24 |
Normal Modes (cont’d), Hamiltonian Mechanics | L: 5.4-5.7, 7 G: 6.1-6.5,8 |
HW13 | 12/3 |
14 | M 11/29 - F 12/3 |
Poisson Brackets, Canonical Transformations | L: 7, 8 G: 8,9 |
HW14 | 12/10 |
15 | M 12/6 - F 12/10 |
Perturbation Theory, Relativity, Classical Fields | L: 9,10,11 G: 10,12,13 |
– | – |