This isn’t exactly a class, but a book I’ve been following. Since this was the 1st book I followed, the topics below are not organised as neatly as I like them to be 😬
Topics covered: Trajectory, Hooke’s law, Harmonic Oscillator, Frequency of Oscillation, Kinetic energy, Potential energy, Constant of Motion aka Conserved Quantity, Implicit Function Theorem, Integral of Motion, Damped Harmonic Oscillator, Conservative force, Gradient, Curl, Stokes theorem, center of mass, angular momentum, Kepler’s 2nd Law, Poisson bracket, Diffeomorphism, Flow, Complete Flow, Sympletic Form, Symplectomorphism, Canonical Transformation, Hamiltonian flow, Hamiltonian generator, Hamiltonian generator of rotations, joint level, Riesz Representation Theorem, Symmetric Operator, Self-Adjoint Operator, Unbounded Operator, Bounded Linear Transformation Theorem, Position Operator, Momentum Operator, De Broglie Hypothesis, Superposition, Commutator, Canonical Commutation Relations, Angular Momentum, Lie algebra, Lie group, Fock Space