Part I. Mathematical introduction. 1.Physical quantities and properties of physical equations. 2.Vector analysis. Part II. Electromagnetic theory. 3.Quantitative investigation of electric and magnetic phenomena. 4.Electrostatic field in vacuum. 5.Electrostatic potential. 6.Special methods for the solutions of electrostatic problems. 7.Energy and relations in the electrostatic field in vacuum. 8.Electrostatic field in material media. 9.Stationary electric field in conducting media. 10.Stationary magnetic field in vacuum. 11.Magnetic potentials. 12.Motion of bodies and particles in magnetic and electric fields. 13.Energy and force relations in the magnetostatic field in vacuum. 14.Magnetostatic field in material media. 15.Maxwell´s equations and Time-dependent electric and magnetic fields. 16.Electromagnetic waves and radiation.