Readings

[LL] = Buy at Amazon Landau, Lev D., and Evgenij M. Lifshitz. Mechanics: Course of Theoretical Physics. Vol. 1. Butterworth-Heinemann, 1976. ISBN: 9780750628969. [Preview with Google Books]

LEC # TOPICS READINGS
1–4 Lagrangian Mechanics

[LL] Chapters 1–5: Part I The Equations of Motion.

Buy at Amazon Feynman, Richard P. "The Principle of Least Action." Chapter 19 in The Feynman Lectures on Physics. Vol. 2. Addison Wesley, 1977. ISBN: 9780201021172.

Gray, Charles G., and Edwin F. Taylor. "When Action Is Not Least." American Journal of Physics 75, no. 5 (2007): 434–58.
5–6 Conserved Quantities [LL] Chapters 6–10: Part II Conservation Law.
7–10 Orbits and Scattering

[LL] Chapters 11 and 13–15: Part III Integration of the Equations of Motion.

[LL] Chapters 8–19: Part IV Collisions Between Particles.
11–12 Oscillations [LL] Chapters 21–22 and 25–26: Part V Small Oscillations.
13–14 Tricky Potentials [LL] Chapters 30+: Part VI Motion of a Rigid Body.
15–19 Hamiltonian Mechanics [LL] Chapters 40, 42, and 45–46: Part VII The Canonical Equations.