Jacob Linder: 01.03.2012, Classical Mechanics (TFY4345), v2012 NTNU

1. Introduction & Fundamental Principles
2. Fundamental Principles, Generalized Coordinates
3. D'Alembert's Principle and Lagrange's Equation
4. D'Alembert's Principle, Part 2
5. Hamilton's Principles, Part 1
6. Hamilton's Principles, Part 2
7. Lagrange Multiplier Method
8. Lagrange Multiplier Method, Part 2
9. Conservation Laws and Symmetries
10. Conservation Laws and Symmetries, Part 2
11. Hamiltonian Formalism
12. Hamiltonian Formalism, Part 2
13. Central Forces
14. Central Forces, Part 2
15. Particle Orbits and Virial Theorem
16. Particle Orbits and Virial Theorem, Part 2
17. The Kepler Problem
18. The Kepler Problem, Part 2
19. Scattering Cross Section
20. Scattering Cross Section, Part 2
21. Rigid Body Rotation
22. Rigid Body Rotation, Part 2
23. Time Change of Vectors in Rotating Systems
24. Time Change of Vectors in Rotating Systems, Part 2
25. Rigid Body Motion
26. Rigid Body Motion, Part 2
27. Gyroscope Effect and Spinning Top
28. Gyroscope Effect and Spinning Top, Part 2
29. Small-scale Oscillations
30. Small-scale Oscillations, Part 2
31. Normal Coordinates and Vibrations
32. Normal Coordinates and Vibrations, Part 2
33. Special Theory of Relativity
34. Special Theory of Relativity, Part 2
35. Lorentz Transformations
36. Lorentz Transformations, Part 2
37. Time Dilation and Length Contraction
38. Time Dilation and Length Contraction, Part 2
39. Relativistic Kinematics
40. Relativistic Kinematics, Part 2
41. Threshold Energy
42. Threshold Energy, Part 2
43. EM field Tensor and Canonical Transformations
44. EM field Tensor and Canonical Transformations, Part 2
45. Canonical Transformations, Part 3
46. Canonical Transformations, Part 4
47. Poisson Brackets
48. Poisson Brackets, Part 2
49. Hamilton-Jacobi Theory
50. Hamilton-Jacobi Theory, Part 2
51. Summary of the Course

A senior-level undergraduate course on classical mechanics by Jacob Linder at the Norwegian University of Science and Technology.

Topics include: Constraints and generalized coordinates. Virtual displacements, Lagange's equations. Variational calculus, Hamilton's principle. Lagrangian for particle in electromagnetic field. Constants of motion, symmetry properties. Virial theorem. Central forces, scattering. Elements of the kinematics and dynamics of rigid bodies. Special relativity. Normal coordinates. Hamilton's equations. Canonical transformations.