1) Classical mechanics
Forces, potential energy, kinetic momentum, kinetic moment, Lagrange equations, small oscillations of a mechanical system, Lagrangian formalism applied to linear chains of atoms, vibrational modes of a cord or a membrane
2) Diffusion and heat transfer
Continuity equations, solutions of diffusion and heat equations for simple geometries
3) Electromagnetism
Maxwell equations, electromagnetic waves
4) Introduction to quantum mechanics
Elementary knowledge introduced from pioneer experiments (Planck, Einstein)
Heisenberg relations, Schrödinger equation.
Solutions to simple quantum mechanical problems