Mechanics from Newton to Lagrange and Hamilton: forces, energy and momentum, oscillators and orbits, then the elegant reformulation in terms of least action, generalised coordinates, symmetry and phase space.

This subject course follows the topic vertically, across the years it spans. The lessons are still being written — each is shown as a placeholder.

Year 1 — Classical Mechanics I

1. The Newtonian Framework: A Review
2. Constrained and Projectile Motion
3. Work, Energy and Line Integrals
4. Conservative Forces and Potential Energy
5. Momentum, Impulse and the Centre of Mass
6. Variable Mass and the Rocket Equation
7. The Damped, Driven Oscillator
8. Coupled Oscillators and Normal Modes
9. Central Forces and Orbits

Year 2 — Analytical Mechanics

1. Generalised Coordinates and Constraints
2. The Principle of Least Action
3. The Euler–Lagrange Equations in Mechanics
4. Lagrangian Worked Examples
5. Conservation Laws and Noether's Theorem
6. The Hamiltonian and Phase Space
7. Small Oscillations and Normal Modes
8. Rigid-Body Motion
9. An Introduction to Chaos