Introduction to various numerical programming and visualization softwares,Numerical integration (basic integration schemes, stochastic methods for multidimensional integrals), Numerical solutions of differential equations (classical equations of motion, studies of systems with chaotic dynamics, eigenstates of the Schrodinger equation, time evolution of wave-packets in quantum mechanics), Molecular dynamics simulations (basic schemes for classical many-particle dynamics, simulations at fixed energy and temperature), Monte Carlo simulations (the Metropolis algorithm for equilibrium statistica

Introduction to optical properties of materials, the complex dielectric function, the complex refractive index, Lorentz oscillators, dispersion, birefringence, Interband absorption, excitons, Luminescence, Quantum wells, Metals, doped semiconductors, Phonon absorption and reflectivity, Nonlinear optics.

General review of free electron theory, electron – electron interaction, electron –phonon interaction. 
Magnetism in solids : diamagnetic, paramagnetic and ferromagnetic materials, magnetic resonance.
Introduction to Superconductivity and its magnetic properties. Dielectric and optical properties of solid. 

Magnetic field in free space and matter, magnetic quantities and units, types of magnetism. Spin and atomic magnetism.   Quantum mechanics of magnetic properties.  Interaction of spins.  Exchange interactions. Itinerant electrons and localized interactions.  Magnetization curves.  Magnetic resonance ESR and NMR. Magnetic properties of superconductors. Magnetoresistance. Superparamagnetism.  Nanoscale magnetism, spintronics. Spin entanglement.  

Classical models for the electronic properties of metals: Drude and Sommerfeld models.  Quantum mechanics of particles in periodic potentials (Bloch's theorem).  Band structure models: Nearly Free and Tight Binding electronic models. Semiconductors and insulators:  Energy gap, Number of carriers, Density of states.  Associated physical phenomena: electrical, optical, thermal and magnetic properties.