PHSCS 721
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Dynamics
Course Description
Advanced treatment of classical mechanics, including Lagrange's and Hamilton's equations, rigid body motion, and canonical transformations.
When Taught
Fall Even Years
Min
3
Fixed/Max
3
Fixed
3
Fixed
0
Other Prerequisites
Phscs 321 or equivalent.
Title
Hamiltonian Dynamics
Learning Outcome
Solve dynamics problems using the Hamiltonian and canonical transformations. Also solve dynamics problems using Hamilton-Jacobi theory and action-angle variables, including adiabatic invariants and perturbation theory.
Title
Langrangian Mechanics
Learning Outcome
Solve problems using the calculus of variations, including constraints. Solve problems using Lagrangian dynamics and generalized coordinates, including conserved quantities and forces of constraint.
Title
Central Focus and Normal Modes
Learning Outcome
Solve central force problems, including 2-body gravitation and perturbations to circular motion, problems involving coupled oscillators, and analyze for normal modes.
Title
Relativity
Learning Outcome
Solve problems in special relativity using its 4-vector formulation.
