Analytical Mechanics

This course deals with Lagrange's and Hamilton's formalism of classical mechanics. Subjects discussed are:

- From Newton's law to Lagrangian mechanics and the least action principle. The Euler-Lagrange equations, generalized momenta.

- Constrained systems, Lagrange multipliers.

- Generalized coordinates, rigid body, inertia tensor, harmonic oscillators, Poisson brackets. Symmetries of the Lagrangian and conserved quantities.

- Hamilton's principle, Hamiltonian, Hamilton's equations, Liouville's Theorem.