Here is the official course synopsis, from the Physics Course Handbook.
Accompanying pages give more details on the lecture sequence and emphases of the course.

**The energy method: **
Equations of motion from energy functions.
Central force problems re-expressed as one-dimensional problems.
Perturbations of
circular orbits.
Lagrangian and Hamiltonian dynamics.
State-space diagrams.
Conservation of angular momentum, energy, phase space volume.
Perturbation methods and the simple pendulum. Dimensional analysis.

**Normal modes:** Counting degrees of freedom. Square matrices as linear operators
and in quadratic forms. Eigenvectors. Stability analysis using normal modes.
Use of symmetries to find normal modes. Beats. Modes of molecules.

**Elasticity: **Definitions of strain and stress as tensors. Young's
modulus, Poisson ratio, Shear and bulk modulus. Relationship
between shear, compression, and extension.

**Central forces: ** Kepler's laws. Planetary orbits. Scattering.
Predicting cross sections using dimensional analysis. Orbital transfers.
Gravitational slingshot.

**Rotating frames and fictitious forces: ** Centrifugal and Coriolis
forces.

**Rigid bodies: ** Relationship between angular velocity vector
and angular momentum vector. Collisions of rigid bodies.
Precession of the earth.