| 1. |
|
Units, system of units. Physical fields. Reference frames. |
| 2. |
|
Particle kinematics (rectilinear motion, circular motion, motion in three dimensions). |
| 3. |
|
Newton´s laws, inertial
and non-inertial reference frames, equations of motion in inertial and
non-inertial reference frames. |
| 4. |
|
Work, power, conservative fields, kinetic and potential energy. Conservation of mechanical energy law. |
| 5. |
|
Foundations of analytical
mechanics - conservation laws, constraints, generalized coordinates,
Lagrangian, Lagrange's equations of the 2nd order for conservative
systems. Hamiltonian, Hamilton's canonical equations. |
| 6. |
|
Central forces, motion in
the field of central force. Kepler´s laws,
Newton´s law of universal gravitation, gravitational field
of the system of n particles and extended bodies. Gravitational field
intensity, potential and energy. |
| 7. |
|
Mechanical oscillating
systems. Simple harmonic motion damped and forced oscillations.
Resonance of displacement and velocity. Combination of oscillatory
motions. |
| 8. |
|
System of n-particles,
isolated and non-isolated systems, conservation of linear and angular
momentum laws. Conservation of mechanical energy law for the system of
n-particles. Center of mass and center of gravity. Rigid bodies,
general motion, equations of motion, rotation of the rigid body with
respect to the fixed axis and to the fixed point |
| 9. |
|
Elasticity, stress, Hooke´s law. |
| 10. |
|
Introduction to the
mechanics of fluids - Euler¡s equation, barometric formulae,
Bernoulli´s equation, Pascal´s and Archimedes
principle. |
| 11. |
|
Fundamentals of theory of relativity, Lorentz transformation, relativistic kinematics and dynamics. |
| 12. |
|
Electric charge,
Coulomb´s law, electric field intensity and potential of the
system of point charges and continuously distributed charges.
Gauss´ law, Maxwell´s equations for the electrostatic
field in vacuum. Electric dipole, polarization and electric
displacement vector, dielectrics in electric field.
Maxwell´s equations for real-world materials. Conductor in
electric field, Faraday´s cage. Capacitance, capacitor.
Energy of the electrostatic field. |
| 13. |
|
Stationary electric
current, current density, conservation of an electric charge law,
electromotive force, junction rule and loop theorem.
Ohm´s law, Joule´s law. Magnetostatic field.
Lorentz force, Ampere´s and Biot-Savart´s law.
Magnetic dipole moment, magnetization, magnetic field strength. Current
carrying conductor in magnetic field. Magnetic properties of matter.
Energy of the magnetostatic field |
| 14. |
|
Electromagnetic induction,
energy of the electromagnetic field. Displacement current.
Electromagnetic waves, wave equation, propagation of electromagnetic
waves. |
|