lecture notes 
handouts and other useful stuff 
Lecture 1: The Energy Method.

Lecture 2: Dimensional Analysis
 Handout 2:
Dimensional analysis (html)
/
(postscript)  (pdf) 

Lecture 3: Newtonian Dynamics Revision

Handout 3: Newtonian Dynamics Revision
(postscript)  (pdf) 

Lecture 34: Extensions of the energy method
 Planetary assignment
Handout 4: Almost Inversesquare forcelaw orbits (postscript)
 pdf 
old Handwritten version


Lecture 5: Perturbation Expansions,
State space diagrams + Lagrangian Dynamics.

State space diagram of pendulum

Lecture 6: Perturbation expansions + Lagrangian Dynamics, continued.

Lecture 7: Pendulums, Lagrangian Dynamics, and the Hamiltonian.

Lecture 8: Hamiltonian Dynamics.

Bead dynamics from the Hamiltonian




Handout 5: Hamiltonian dynamics summary and example (postscript) 
pdf
 Liouville's theorem for vertically bouncing balls 

Lecture 9: Normal Modes I
. 
Handout 6: Drag force by dimensional analysis (postscript) 
pdf

About surface tension and latent heat


Molecule modes: Quicktime Movie by Luca Turin (more info) 
Lecture 10: Normal Modes II
. 
 Handouts 7a & 7: Normal modes  7a (postscript, 2 pages) 
pdf
 7 (postscript, 8 pages) 
pdf



Lecture 11: Normal Modes III
. 

Lecture 12: Normal Modes IV
.

Symmetries and eigenvectors  the complex wave (corkscrew) is an eigenvector of the translation operator

Lecture 13: Elasticity
. 
 Beats 
Handout 8 contains the following sections:
1:  Strain and stress  postscript 
 pdf 
2: 
Kepler's Ellipses, and gravitational slingshots (postscript) 
pdf  orbit diagram

3:  Rotating frames (postscript) 
pdf 
4:  Optional reading  Inverted pendulum 
pdf 

Lecture 14: Kepler and orbits
. 
 Marimba 
History of planetary observations 
Orbits in inversesquare potential


Lecture 15: Fictitious forces in rotating frames
. 

Lecture 16: Rigid bodies
.  (A subset of these notes were used in the 2001 lecture 16)
