Lecture Notes

1. Lecture 1 -- Welcome -- PP   PDF   Maple example   PDF file   Mathematica example   PDF file  
2. Lecture 2 -- Calculus of Variation -- PP   PDF   Extra PP   Extra PDF  
3. Lecture 3 -- Calculus of Variation -- PP   PDF   Extra PP   Extra PDF  
4. Lecture 4 -- Lagrangian mechanics -- PP   PDF   Extra PP   Extra PDF  
5. Lecture 5 -- Lagrangian mechanics -- PP   PDF   Extra PP   Extra PDF  
6. Lecture 6 -- Lagrangian mechanics extensions -- PP   PDF   Extra PP   Extra PDF  
7. Lecture 7 -- Hamiltonian mechanics -- PP   PDF   Extra PP   Extra PDF  
8. Lecture 8 -- Hamiltonian applications -- PP   PDF   Andersen PDF   Nose PDF  
9. Lecture 9 -- More Hamiltonian formalisms -- PP   PDF   Extra PP   Extra PDF  
10. Lecture 10 -- Rigid body motion -- PP   PDF   Extra PP   Extra PDF  
11. Lecture 11 -- Rigid body motion -- PP   PDF   Extra PP   Extra PDF  
12. Lecture 12 -- Euler angles -- PP   PDF   Extra PP   Extra PDF  
13. Lecture 13 -- Scattering theory -- PP   PDF   Extra PP   Extra PDF  
14. Lecture 14 -- Scattering theory -- PP   PDF  
15. Lecture 15 -- Scattering theory -- PP   PDF  
16. Lecture 16 -- Small Oscillations about Equilibrium -- PP   PDF   Maple pdf   Mathematica pdf  
17. Lecture 17 -- Review -- PP   PDF  
18. Lecture 18 -- Normal Mode Analysis -- PP   PDF  
19. Lecture 19 -- Normal Mode Analysis in 2 & 3 Dimensions -- PP   PDF  
20. Lecture 20 -- The wave equation in one dimension -- PP   PDF  
21. Lecture 21 -- Ordinary and partial differential equations -- PP   PDF  
22. Lecture 22 -- Sturm-Liouville equations -- PP   PDF  
23. Lecture 23 -- Fourier Transforms -- PP   PDF  
24. Lecture 24 -- Laplace Transforms and complex analysis -- PP   PDF  
25. Lecture 25 -- Complex analysis -- PP   PDF  
26. Lecture 26 -- Wave in two dimensional membranes -- PP   PDF  
27. Lecture 27 -- Introduction to hydrodynamics -- PP   PDF  
28. Lecture 28 -- Introduction to hydrodynamics -- PP   PDF  
29. Lecture 29 -- Linearized and idealized hydrodynamics -- PP   PDF  
30. Lecture 30 -- Linearized sound waves and resonances -- PP   PDF  
31. Lecture 31 -- Nonlinear sound waves and related phenomena -- PP   PDF  
32. Lecture 32 -- Surface waves on fluids -- PP   PDF  
33. Lecture 33 -- Surface waves on fluids --non-linear effects -- PP   PDF  
34. Lecture 34 -- Heat conductivity -- PP   PDF  
35. Lecture 35 -- Viscous effects in fluids -- PP   PDF  
36. Lecture 36 -- Viscous effects in fluids -- PP   PDF  
37. Lecture 37 -- Elastic media -- PP   PDF