Principle of Least ActionCovers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.
Symmetry and Conservation LawsExplores symmetry, Noether's theorem, and conservation laws in physics, emphasizing the role of time and the Hamiltonian.
Constraints and LagrangeCovers constraints, Lagrange equations, generalized coordinates, cyclic coordinates, conservation laws, and Hamilton formalism.
Hamiltonian Formalism: Harmonic OscillatorExplores the Hamiltonian formalism for the harmonic oscillator, focusing on deriving Lagrangian and Hamiltonian, isolating the system, and generating new conserved quantities.
Field Theory: Action PrinciplesDiscusses the application of action principles in classical field theory, focusing on Lagrange and Hamiltonian formulations.