Explores the Hamiltonian formalism for the harmonic oscillator, focusing on deriving Lagrangian and Hamiltonian, isolating the system, and generating new conserved quantities.
Explores canonical transformations in Hamiltonian formalism, emphasizing preservation of the action principle and structure necessary for transformations.
Explores classical field theory, focusing on Lagrangian formulation and the Euler-Lagrange equations, emphasizing the property of locality in spacetime.