週次 |
日期 |
單元主題 |
Week 1 |
9/27 |
General Introduction; Galilean Invariance, Newton's Laws |
Week 2 |
10/4 |
Equation of Motion; Conservation Laws |
Week 3 |
10/11 |
No class |
Week 4 |
10/18 |
Properties of Gravity; Ocean Tides; Exam 1 |
Week 5 |
10/25 |
Calculus of Variations; Euler's Equation |
Week 6 |
11/1 |
Hamilton's Principle; Generalized Coordinate; Lagrange's Equation |
Week 7 |
11/8 |
Hamilton Dynamics, Canonical Equations of Motion, Phase Space |
Week 8 |
11/15 |
Central Force Motion; Reduced Mass; Conservation Theorems |
Week 9 |
11/22 |
Exam 2 |
Week 10 |
11/29 |
Orbits in a Central Force; Centrifugal Energy and Effective Potential |
Week 11 |
12/6 |
Planetary Motion; Stability of Circular Orbits |
Week 12 |
12/13 |
Simple Harmonic Oscillations, Phase diagram; Damped Oscillations |
Week 13 |
12/20 |
Driven Oscillations; Resonance |
Week 14 |
12/27 |
Nonlinear Oscillations; Mapping and Chaos |
Week 15 |
1/3 |
Exam 3 |
Week 16 |
1/10 |
Poster Presentation |