Elements of Lagrangian and Hamiltonian Mechanics (and reference to HamiltonJacobi formulation as preparation for the passage to Quantum Mechanics). Elements of Electromagnetism/Classical Electrodynamics (MaxwellLorentz theory) – Introduction to the Special Theory of Relativity. Elements of Quantum Mechanics: quantum states as vectors  and observables as (self adjoint) operators  in Hilbert spaces, position and momentum representations and Fourier transforms, physical meaning of eigenvalues and eigenstates of Hermitian operators, solution of Schrödinger equation (viewed as an ordinary or partial differential equation) in simple quantum systems – Uncertainty Principle – Ehrenfest and HellmannFeynman theorems – Symmetries and Generators, gauge symmetry (and some of its nontrivial consequences)
