Review several problems from each of these collections.

Lagrangian and Hamiltonian mechanics

Standard Lagrangian problems (constrained point masses)
Standard Lagrangian problems (inclined planes)
Standard Lagrangian problems (oscillations)
Standard Lagrangian problems (other problems)
Problems involving the Hamiltonian

Coupled oscillations

Coupled oscillations (point masses and springs)
Coupled oscillations (pendula)
Coupled oscillations (other systems)