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This course will explore advanced topics in classical mechanics including the calculus of variations, the Lagrangian and Hamiltonian formulations of mechanics, phase space, non-linear dynamics and chaos, central-force motion, non-inertial reference frames (including implications for physics on a rotating Earth), and rigid-body rotations. Numerical and perturbative techniques will be developed and used extensively. We will also examine the ways in which classical mechanics informs other fields of physics. In addition to weekly tutorial meetings the class with will meet once a week as a whole to discuss new material.
Format: tutorial; hybrid
Grading: no pass/fail option,
no fifth course option
weekly problem sets, tutorial participation, presentations, a final project, and a final exam, all of which have a substantial quantitative component
PHYS 202 and PHYS/MATH 210 or MATH 209
weekly problem sets requiring substantial quantitative reasoning using analytical and numerical methods.