PHY601A - Review of Classical Machanics

Problem oriented review of Classical Mechanics, Newton's laws of motion, Galilean transformations, Particle mechanics, System of particles, Non inertial frames, Pseudo forces. Small oscillations and normal modes. Lagrangian formulation, Configuration space, Hamilton's principle of least action, Symmetries and conservation laws, Rigid body motion, Hamiltonian formulation. Phase space, Liouvilles theorem, Canonical transformations, Poisson brackets, Hamilton Jacobi theory, Action angle variables. Integrability, Perturbation theory, Time dependent Hamiltonian, Introduction to chaos, Chaotic attractor (and repeller), Lyapunov exponent, Special relativity.