Physics 1 - Syllabus of Lectures

Topic of the lecture

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 - Eulerís 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.