| Date | Lecture notes
|
| Review from 325
| Harmonic oscillators 1
|
|
| Harmonic oscillators 2
|
| Aug. 28
| The coupled harmonic oscillator problem
|
| Aug. 30
| Coupled oscillators: General strategy for finding normal modes
|
| Sept. 4
| Coupled oscillators: Massless oscillator and general formalism for coupled oscillators
|
| Sept. 6
| Coupled oscillators: General formalism cont'd and the double pendulum
|
| Sept. 11
| Coupled oscillators: DC modes
|
| Sept. 13
| Coupled oscillators: Inner Product Spaces
|
| Sept. 18
| Coupled oscillators: The inner product of normal modes, normal coordinates
|
| Sept. 20
| Coupled oscillators: Normal coordiantes and transformation matrices
|
| Sept. 25
| Coupled oscillators: Normal coords cont'd, driving forces (from Prof Hooberman)
|
| Alternative notes from Prof MacDougall
|
| Sept. 27
| The central force problem: Lagrangian in reduced mass coords
|
| Oct. 2
| The central force problem: effective potential, orbits and Kepler's laws
|
| Oct. 4
| The central force problem: the path equation and solution for the Kepler problem
|
| Oct. 9
| The central force problem: impact factor and the capture cross section
|
| Oct. 16
| The central force problem: solid angle and the differential cross-section
|
| Oct. 18
| The central force problem: scattering basics, luminosity, and hyperbolae
|
| Oct. 23
| Rotation of Rigid Bodies: the inertia tensor and principle axes
|
| Oct. 25
| Rotation of Rigid Bodies: example problems- the uniform cube, spin the stick and kick the triangle
|
| Oct. 30
| Rotation of Rigid Bodies: lab vs body coordinates, example problems, and the Euler equations
|
| Nov. 1
| Rotation of Rigid Bodies: rotational stability, and the free symmetric top (in body frame)
|
| Nov. 6
| Rotation of Rigid Bodies: free symmetric top (in lab frame), and the Euler angles
|
| Euler angles slide
|
| Nov. 8
| Rotation of Rigid Bodies: free symmetric top using Euler angles
|
| Nov. 13
| General Relativity: equivalence principle, light bending, Doppler shift and time dilation
|
Nov. 15
| General Relativity: time dilation cont'd, Haefele-Keating experiment, and spacetime metrics
|
| Nov. 27
| General Relativity: axioms of GR and the Schwarzschild metric
|
| Dec. 4
| General Relativity: Schwarzschild coordinates, local time and local distance
|
| Dec. 6
| General Relativity: the Schwarzschild radius, geodesics and the GR Lagrangian
|
| Dec. 11
| General Relativity: the Schwarzschild Lagrangian, constants of motion, and modifications to the planetary motion equation
|