1. Differential calculation of vector fields Introduction to vector algebra, differential, physical fields (scalar and vector fields), differential operators (grad, div, curl, laplas), calculation with operators, the second derivations of the operators. 2. Integral calculation of vector fields. Vector of flow, Gauss's theorem, the circulation of the vector, the line integral, Stokes's theorem, physics of fields. 3. Electrostatic fields in vacuum Flow of the intensity vector, Gauss's law of electrostatics in differential form, conservative electrostatic field, potential, Poisson's and Laplace's theorems. 4. Electrostatic fields in vacuum  practice Electrostatic field of charged line, the charged plane, a pair of charged planes, charged spherical shell, the charged sphere (conducting, dielectric), electrostatic field of a cylindrical electrode in the axis etc. 5. Polarization of dielectrics. Torque of the electrical dipole, dipole potential energy, vector of polarization, Gauss's law for the field in dielectrics, vector of the electrical induction, the energy of field in the dielectric. 6. Stationary electric field  electric current. The definition of the current, current density, electrical currents (conduction, convection, polarization), the equation of continuity, numerical examples, practice. 7. Stationary electric field and electric circuit. Free and bound charge, Ohm's law in differential form, EMF, power, numerical examples, practice. 8. Stationary Magnetic Field Magnetic induction, magnetic flux, Ampere's law of the total current, magnetic induction lines, laws of field lines behavior, the vector's potential. 9. BiotSavart Law Vector's potential, BiotSavart law, BS vs Ampere's law, magnetic field of circuit currents, application of BS law, numerical examples, practice. 10. Quasistationary electric and magnetic fields The law of electromagnetic induction, Lenz's rule, Faraday's law of induction, properties and conditions of quasistationary field expressed in vector analysis. 11. Maxwell's equations (I) The induced electric field, displacement current, Maxwell's equations in differential form for quasistationary fields, interpretations of four Maxwell's equations. 12. Maxwell's equations (II) Maxwell's equations in the integral form, the potentials of the electromagnetic field, energy and momentum of the electromagnetic field  the Poynting's vector, electromagnetic waves (introduction). 13. Magnetic properties of matter Paramagnetic and diamagnetic matters, the magnetic torque of the atom, Bohr's magneton, diamagnetism (Larmor's explanation) paramagnetism, ferromagnetism, spontaneous magnetization, CurieWeiss's law, domain structure, magnetization curve, hystere 14. Movements of particles in the electromagnetic field. Charged particle in an electromagnetic field, Lorentz's force, generalized momentum, cyclotron frequency, Larmor's precession frequency, accelerators (cyclotron, betatron), magnetic resonance (imaging).
