PSI 2016/2017 - Classical Mechanics (Kubiznak)

Introduction to differential geometry: manifolds and tensors

Introduction to differential geometry: Lie derivative and differential forms

Review of Lagrangian mechanics: Action principle, Integrals of motion, Noether's theorem

Hamilton-Jacobi theory, Integrable  systems

Constraints, Symplectic geometry, Hamilton's equations revised

Canonical transformations, Noether's theorem, Hidden symmetry of Kepler motion, Nambu mechanics

Contact geometry: Hamiltonian mechanics revised, Example of field theory: Vibrations of a string