The structure of space-time according to Newton; The string equation, i.e. the wave equation in two-dimensional space-time; Mathematical properties of the wave equation in two dimensions

Fourier transform and its applications; Euclidean rotation group; Lorentz transformations as symmetries of the wave equation; Equation of sound propagation

Electromagnetic field. How to describe a vector in a curvilinear system; A short excursion into differential geometry: vectors and covectors; Tensors and differential forms. Geometric description of t

Geometric digression: external differential. Maxwell's first pair of equations; Lorentz transformation of the electromagnetic field; Equations of motion of a charged particle in an electromagnetic fie