| 週次 |
授課內容 |
| 第1週 |
basic math tools I |
| 第2週 |
basic math tools II |
| 第3週 |
Newtonian mechanics |
| 第4週 |
The equation of motion |
| 第5週 |
simple harmonic oscillator I |
| 第6週 |
simple harmonic oscillator II |
| 第7週 |
spring break |
| 第8週 |
resonance and quality factor for SHO |
| 第9週 |
midterm exam |
| 第10週 |
Functional and variations |
| 第11週 |
Some methods in the calculus of variations I |
| 第12週 |
Some methods in the calculus of variations II |
| 第13週 |
Hamilton’s principle-Lagrangian |
| 第14週 |
Lagrange’s equation of motion |
| 第15週 |
Lagrange’s equation with undetermined multipliers |
| 第16週 |
final exam |
| 第17週 |
Self-directed Learning I:Enrolled students have to study the detailed derivation of Lagrange’s equation from general coordinates and momemta, and the associated conservations via text books or online videos. |
| 第18週 |
Self-directed Learning II:Enrolled students have to study the Hamiltonian dynamics via text books or online videos. |