Introduces field theory, focusing on density, springs, canonical transformations, and the principle of least action.
Covers constraints, Lagrange equations, generalized coordinates, cyclic coordinates, conservation laws, and Hamilton formalism.
Explores the Hamiltonian formalism for the harmonic oscillator, focusing on deriving Lagrangian and Hamiltonian, isolating the system, and generating new conserved quantities.
Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.
Explores symmetry, Noether's theorem, and conservation laws in physics, emphasizing the role of time and the Hamiltonian.
