Classical Mechanics (MEC_2F001)
This course covers non-inertial frames and fictitious forces, the Lagrangian and Hamiltonian formulations and rigid body mechanics. It explores velocity fields, kinetic energy decomposition, angular momentum, and conservation laws. With the calculus of variations serving as a mathematical foundation, Lagrangian mechanics is presented as a variational principle for constrained systems, while Hamiltonian mechanics emphasizes energy conservation and its role in quantum physics. Practical examples treated throughout the class include turning tables, Foucault pendulum and rolling disks. The course balances mathematical rigor with physical interpretation. It builds on Newtonian mechanics and vector calculus. By the end of the class, students will derive the fundamental mathematical techniques used in physics and mechanics, and will be acquainted with fun physical phenomena.
