| 1 | Review of Newtonian Mechanics | |
| 2 | Calculus of Variation | |
| 3 | Lagrangian and Hamilton Principle | Problem set 1 due |
| 4 | Lagrangian with Constraints | |
| 5 | Generalized Coordinates and Principle of Virtual Work | Problem set 2 due |
| 6 | Conserved Quantities, Hamiltonian | Problem set 3 due |
| 7 | Noether's Theorem, Canonical Equations and Phase Space | |
| 8 | Quiz 1 | |
| 9 | Canonical Transformation I | Problem set 4 due |
| 10 | Canonical Transformation II | |
| 11 | Kepler Problem, Orbits | Problem set 5 due |
| 12 | Elastic Collisions | |
| 13 | Inelastic Scattering | Problem set 6 due |
| 14 | Rutherford Scattering | |
| 15 | Non-inertial Frames | |
| 16 | Lagrangian for Rigid Bodies, Inertia, Symmetric Top | Problem set 7 due |
| 17 | Angular Momentum, Free Top | Problem set 8 due |
| 18 | Quiz Review | |
| 19 | Quiz 2 | |
| 20 | Euler Angles, Equation of Motion | |
| 21 | Lagrangian for a Continuous System | |
| 22 | Solids and Fluids | Problem set 9 due |
| 23 | Velocity Dependent Potentials | |
| 24 | Relativistic Lagrangian, Maxwell Equations | |
| 25 | Conserved Quantities in Field Theory, Energy-stress Tensor | Problem set 10 due |
| 26 | Relativistic Lagrangian, Covariant Formulation, Outlook and Review | |