Part I: Newtonian Mechanics 1. Introduction 2. Newton's Three Laws 3. Energy and Work 4. Introductory Rotational Dynamics 5. The Harmonic Oscillator 6. Wave Mechanics & Elements of Mathematical Physics Part II: Langrangian Mechanics 7. Introduction 8.

Coordinates & Constraints 9. The Stationary Action Principle 10. Constrained Langrangian Mechanics 11. Point Transformations in Langrangian Mechanics 12. The Jacobi Energy Function 13. Symmetries & Langrangian-Hamiltonian-Jacobi Theory 14. Near-Equilibrium Oscillations 15. Virtual Work & d'Alembert's Principle Part III: Canonical Mechanics 16.

Introduction 17. The Hamiltonian & Phase Space 18. Hamiltonian's equations & Routhian Reduction 19. Poisson Brackets & Angular momentum 20. Canonical & Gauge Transformations 21. Hamilton-Jacobi Theory 22. Liouville's Theorem & Classical Statistical Mechanics 23. Constrained Hamiltonian Dynamics 24.

Autonomous Geometrical Mehcanics 25. The Structure of Phase Space 26. Near-Integrable Systems Part IV: Classical Field Theory 27. Introduction 28. Langrangian Field Theory 29. Hamiltonian Field Theory 30. Clssical Electromagnetism 31. Neother's Theorem for Fields 32.

Classical Path-Integrals Part V: Preliminary Mathematics 33. The (Not so?) Basics 34. Matrices 35. Partial Differentiation 36. Legendre Transformations 37. Vector Calculus 38. Differential equations 39. Calculus of Variations Part VI: Advanced Mathematics 40.

Linear Algebra 41. Differential Geometry Part VII: Exam Style Questions Appendix A. Noether's Theorem Explored Appendix B. The Action Principle Explored Appendix C. Useful Relations Appendxi D. Poisson & Nambu Brackets Explored Appendix. Canonical Transformations Explored Appendix F. Action-Angle Variables Explored Appendix G.

Statistical Mechanics Explored Appendix H. Biographies.