Dielectric properties of insulators, local electric field, atomic polarizability, displacement polarization, orientation polarization, Kramers-Kronig relations
Special effects in crystals, dielectric tensor, birefringence, index ellipsoid, linear optical effect
Linear mappings and matrices, linear equation systems, LR and Gauss methods (passive linear circuits)
Gram-Schmidt, projection (idea of Fourier analysis)
Determinants, eigenvalues, eigenvectors, principal axis transformation
Ordinary differential equations, systems of linear differential equations of the first order (wave equations, wave equation, resonant circuit/harmonic oscillator)