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