Lecture 1. Axiomatic development of classical mechanics (Ch. 1 and Ch. 2 of Unit 1)8.27.13

Lecture 2. Analysis of 1D 2-Body Collisions (Ch. 3 and Ch. 4 of Unit 1) 8.29.13

Lecture 3. Analysis of 1D 2-Body Collisions (Ch. 3, Ch. 4, and Ch. 5 of Unit 1) 9.03.13

Lecture 4. Kinetic Derivation of 1D Potentials and Force Fields (Ch. 6, and Ch. 7 of Unit 1) 9.5.13

Lecture 5. Dynamics of Potentials and Force Fields (Ch. 7 and Ch. 8 of Unit 1) 9.10.13

Lecture 6. Many-body 1D collisions (Ch. 9 and Ch. 11 of Unit 1) (9.12.13)

Lecture 7. Geometry and Motion of Isotropic Harmonic Oscillators (Ch. 9 and Ch. 11 of Unit 1) (9.17.13)

Lecture 8. Kepler Geometry of IHO (Isotropic Harm. Osc.) Orbits (Ch. 9 and Ch. 11 of Unit 1)(9.19.13)

Lecture 9. Geometry of Dual Quadratic Forms: Lagrange vs Hamilton (Ch. 11 and Ch. 12 of Unit 1) (9.18.12)

Lecture 10. Quadratic form geometry and mechanics of Lagrange and Hamilton (Ch. 12 of Unit 1) (9.20.12)

Lecture 11. Equations of Lagrange and Hamilton mechanics in GeneralizedCurvilinear Coordinates (GCC) (Ch. 12 of Unit 1 and Ch. 1-5 of Unit 2 and Ch. 1-5 of Unit 3) (9.20.12)

Lecture 12. Hamilton vs. Lagrange mechanics in GCC (Unit 1 Ch. 12, Unit 2, Unit 3)(10.2.12)

Lecture 13. Poincare, Lagrange, Hamiltonian, and Jacobi mechanics (Unit 1 Ch. 12, Unit 2, Unit 3) (10.4.12)

Lecture 14. Complex Variables, Series, and Field Coordinates I. (Ch. 10 of Unit 1) (10.9.12)

Lecture 15. Complex Variables, Series, and Field Coordinates II. (Ch. 10 of Unit 1) (10.11.12)

Lecture 16. Introducing GCC Lagrangian`a la Trebuchet Dynamics(Ch. 1-3 of Unit 2 and Unit 3)(10.18.12)

Lecture 17. GCC Lagrange Equations for Trebuchet or "How do we ignore constraints?" (Ch. 1-5 of Unit 2 and Unit 3)

Lecture 18. Hamilton Equations for Trebuchet and Other Things (Ch. 5-9 of Unit 2) 10.25.12

Lecture 19. Reimann-Christoffel equations and covariant derivative(Ch. 4-7 of Unit 3) 10.30.12

Lecture 20. Electromagnetic Lagrangian and charge-field mechanics (Ch. 2.8 of Unit 2) 11.1.12

Lecture 21. Classical Constraints: Comparing various methods(Ch. 9 of Unit 3) 11.06.12

Lecture 22. Introduction to classical oscillation and resonance (Ch. 1 of Unit 4 11.08.12)

Lecture 23. Introduction to coupled oscillation and eigenmodes (Ch. 2-4 of Unit 4 11.13.12)

Lecture 24. Introduction to Spinor-Vector resonance dynamics (Ch. 2-4 of Unit 4 11.13.12)

Lecture 25. Parametric Resonance and Multi-particle Wave Modes (Ch. 7-8 of Unit 4 11.27.12)

Lecture 26. Introduction to Orbital Dynamics (Ch. 2-4 of Unit 5 11.29.12)

Lecture 27. Geometry and Symmetry of Orbital Dynamics (Ch. 2-4 of Unit 5 12.04.12)

Lecture 28. Multi-particle and Rotational Dynamics (Ch. 2-7 of Unit 6 12.06.12)