| SES # | TOPICS | READINGS |
|---|---|---|
| 1 | Review of Newtonian Mechanics | Refresh your mechanics knowledge by reading from your favorite book. For example the book by Marion and Thornton is very helpful. Goldstein is a bit too dry for this initial "Newtonian Mechanics Refresher." |
| 2 | Calculus of Variation | Refresh your mechanics knowledge by reading from your favorite Mechanics book. |
| 3 | Lagrangian and Hamilton Principle | Goldstein. Sections 1.1-1.2 and 2.1-2.5. |
| 4 | Lagrangian with Constraints | Goldstein. Sections 1.1-1.2 and 2.1-2.5. |
| 5 | Generalized Coordinates and Principle of Virtual Work | Goldstein. Sections 1.3, 1.4, 2.4, 2.6, and 2.7. |
| 6 | Conserved Quantities, Hamiltonian | Goldstein. Sections 8.1 and 8.2. |
| 7 | Noether's Theorem, Canonical Equations and Phase Space | Goldstein. Sections 8.1 and 8.2. |
| 8 | Quiz 1 | Goldstein. Sections 8.1 and 8.2. |
| 9 | Canonical Transformation I | Goldstein. Sections 9.1-9.3, 9.6, and 9.7. |
| 10 | Canonical Transformation II | Goldstein. Sections 9.1-9.3, 9.6, and 9.7. |
| 11 | Kepler Problem, Orbits | Goldstein. Sections 3.1-3.3. |
| 12 | Elastic Collisions | Goldstein. Sections 3.1-3.3. |
| 13 | Inelastic Scattering | Goldstein. Sections 3.10-3.11. Marion and Thornton. Sections 9.6-9.10. |
| 14 | Rutherford Scattering | Goldstein. Section 3.10-3.11. Marion and Thornton. Sections 9.6-9.10. |
| 15 | Non-inertial Frames | Goldstein. Sections 3.10-3.11. Marion and Thornton. Sections 9.6-9.10. |
| 16 | Lagrangian for Rigid Bodies, Inertia, Symmetric Top | Goldstein. Sections 4.9, 4.10, 5.3, and 5.4. Marion and Thornton. Chapter 10. |
| 17 | Angular Momentum, Free Top | Goldstein. Chapter 5. |
| 18 | Quiz Review | Goldstein. Chapter 5. |
| 19 | Quiz 2 | Goldstein. Chapter 5. |
| 20 | Euler Angles, Equation of Motion | Goldstein. Chapter 5. |
| 21 | Lagrangian for a Continuous System | Goldstein. Chapter 5. |
| 22 | Solids and Fluids | Goldstein. Sections 1.5, 8.5, and Chapter 13. |
| 23 | Velocity Dependent Potentials | Goldstein. Sections 1.5, 8.5, and Chapter 13. |
| 24 | Relativistic Lagrangian, Maxwell Equations | Goldstein. Sections 1.5, 8.5, and Chapter 13. |
| 25 | Conserved Quantities in Field Theory, Energy-stress Tensor | Goldstein. Sections 1.5, 8.5, and Chapter 13. |
| 26 | Relativistic Lagrangian, Covariant Formulation, Outlook and Review | Goldstein. Sections 1.5, 8.5, and Chapter 13. |
Table of Contents
Study Materials
Readings
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Goldstein, Herbert. Classical Mechanics. 3rd ed. San Francisco, CA: Addison-Wesley, 2002. ISBN: 0201316110.
Marion, Jerry B., and Stephen T. Thornton. Classical Dynamics of Particles and Systems . 4th ed. Fort Worth, TX: Saunders College Pub., 1995. ISBN: 9780030973024.