Standard syllabus
Classical mechanics · Undergraduate · Physics
Topics
Newtonian mechanics advanced
- Constraints and generalized coordinates
- Central force problems and effective potential
- Orbits: Kepler laws and scattering
- Rigid body dynamics and Euler equations
- Non-inertial frames and fictitious forces
Lagrangian mechanics
- Principle of least action and Euler–Lagrange equations
- Conserved quantities and Noether's theorem (intro)
- Small oscillations and normal modes
- Hamilton's principle for holonomic systems
- Legendre transform to Hamiltonian mechanics
Hamiltonian mechanics
- Canonical equations and phase space
- Poisson brackets and constants of motion
- Canonical transformations (introduction)
- Integrable systems and action–angle variables (overview)
- Chaos and sensitivity in nonlinear systems (intro)
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