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Description of subjects

Subject contents (obligatory taught in English)

Listed in alphabetical order

Applied Physics I

Introduction. Vector’s analysis. Physical quantities describing the kinematical motions. Physical quantities describing the dynamical properties of a particle and the system of particles. Newton’s laws of motion. Basic types of interactions. Rigid body. Equations of motion of a rigid body. Macroscopic description of a gas. The molecular-kinetic theory of a gas. Laws of thermodynamics. The heat engine. Entropy. Physical quantities describing the gravitational field. Gravitational field of the earth. Physical quantities describing the electric field. Gauss’ law and its applications.

Applied Physics II

Physical quantities describing an electric current. Electric current. Ohm’s law. Kirchhoff’s laws. Physical quantities describing magnetic field. Biot-Savart law and its applications. Ampere’s law. Electric and magnetic field in a matter. Electromagnetic field. Faraday’s law of induction. Energy and density of magnetic field. Harmonic oscillator. Damped oscillations. Forced oscillations. Interference of oscillation motions. Physical quantities describing waves. Wave equation. Acoustic waves. Doppler’s effect. Electromagnetic waves. Geometrical optics. Wave optics. Huygens‘ principle. Interference of the light.

Basics of Mechanical Engineering

Contemporary technical standardization. Necessary properties of technical documentation. 2D and 3D representation. Functional and technological dimensions in technical drawings. Functional assurance and exchangeability of machine parts. Surface quality and its parameters. Quality of products. Engineering materials. Machine parts – overview, application, denoting and graphical representation. Basics of fastenings, parts and joints design.

Economics of Enterprise

Economic environment of an enterprise in a market economy. Basic characteristics of the market economy system. Development of markets, market structure, working of market mechanism. Interrelations of supply and demand. Macroeconomic environment and macroeconomic government policy, including current tax system. Banking system and capital market. External economic relations; world economy and international economic integration. Character and properties of an enterprise in a market economy. Typology of enterprises. Legal forms of enterprises, associations of enterprises. Transnational corporations. Anti-monopoly legislation. Business ethics.

Elasticity and Strength

Fundamentals. Uniaxial loading. Stress and strain states at arbitrary point and their relationships. Strength criteria. Second moments of area. Bending of straight beams. Relations between internal variables. Normal stress for pure bending. Deflection of beam by integration method. Mohr's method (moment-area method). Shearing stress caused by transversal force, strength checking of beam. Strain energy, Castiglione's theorems. Torsion of members with circular cross-section. Combined loading. Curved and broken beams – plane and spatial. Stress and strain analyses of helical spring. Buckling of columns.

Electrics and Electronics

Electromagnetic field. Alternating current and voltage waveforms. Simple AC electric circuits. AC power - real, reactive, apparent. Magnetic field and mutual relations between electric current and conductor immersed in magnetic field. Forces in magnetic field. Induced electromotive force. Three-phase systems. Currents and voltages in 3-f systems delta and wyes. Basic electric measurement method and instrumentation. Basic electronics. Electronic structure of conductors, semiconductors and isolators. Semiconductor materials. Basic semiconductor devices (diode, transistors). Measuring instruments. Measuring of physical quantities. Elementary diode circuits, transistors amplifiers. Feedback concept in electronic circuits. Operational amplifiers. Oscillators and generators. Some electric and electronic control-system components. Transformers. Properties of the series commentator machines, inductions machines and synchronous machines. One-phase and three-phase commentator machines. Introduction to electric driving and power engineering. Direct electric power production and distribution. Electromagnetic waves and their propagation. Electromagnetic compatibility.

Engineering Graphics

Environments and application of CAD systems. Level “dwg”, “dxf”, “dwt”, “xls”, creating a formats, connection with ones. Basic entities 2D space. Joint between 2D and 3D spaces, methods of design. Edit and modifications entities, objects. Creating a solids. Boolean operations, modifications, editing, interactive positions, analysis of solids and parts. Assembly design. Marks, symbols, dimensions, text. Creating 2D documentation with title block. Technical documentation, diagrams, procedures. Inserting of non-CAD of objects. Output devices – plotter, printer. Technical package - 3D standard parts, inertia, mass, volume, collision.

Engineering Chemistry

Atomic structure, chemical bonding, chemical reactions. Stochiometric calculations. Acids, bases, ph, solutions, calculations of concentrations. Basic principals of organic chemistry. Hydrocarbons, derivates of hydrocarbons. Crude oil, its composition and treatment. Synthetic polymers. Water - water hardness and its removing, waste water, cleaning an sterilization. Metals, their properties, metals production, corrosion and anticorrosive protection. Corrosion characteristics and types. Surface treatment. Energetic of biochemical reactions. Photosynthesis and metabolism. Saccharides, mono- saccharides, polysaccharides. Aminoacids, proteins and their properties. Lipides. Biocatalysators. Vitamins, enzymes and hormones. Environmental chemistry. Additive substances in foodstuff.

Engineering Mathematics

Problem of results exactness. Numerical solution of the equation f(x)=0. Matrices. LU matrix decomposition. Iterative methods for solving systems of equations. Interpolation. Approximation. Numerical differentiation and integration. Numerical solution of the ordinary differential equations. Methods of solving the partial differential equations. Graphical presentation of data. Computation of basic characteristics of data sets. Computation of probability of random events. Computation of basic characteristics of random variables. Index numbers. Computation of parameters of quality control charts. Demonstration of practical applications.

Engineering Mechanics I

Forces and lines of action, rectangular components. Moments - moment of a force about a point, a line, the couple. Force systems. Equilibrium of a particle. Real problems involving the equilibrium of a particle, Free-body diagram, Equilibrium of the rigid body Application of the general and parallel force system on the body. Mechanical system isolation - free-body diagram, Equilibrium conditions. Center of gravity, mass center, centroid. Distributed force systems, internal effects. Flexible cables. Cables with concentrated and distributed loads. Structures - frames, machines and trusses. Friction and passive resistance of the body. Friction of machines. Analytical statics - principle of virtual work. Stability of equilibrium position. Moment of inertia of a mass. Ellipsoid of inertia. Principal axes of inertia. Experimental specifying of moment of inertia.

Engineering Mechanics II

The importance of a dynamics for technical practice. Kinematics as the part of the solution of problems of dynamics. Kinematics and dynamics of the particle and of the system of particles. Basis of vibration theory of the linear mechanical systems (LMS) with one degree of freedom. Free and forced viscous damped vibration LMS with one degree of freedom. Kinematics and Dynamics of a plane motion of the rigid body. Dynamic reactions in the bearing of the rotor. Balancing of the rotors. Kinematics and Dynamics of a spatial motion of the rigid body. Basis of an Analytical Dynamics. Lagrange's equations of the second order. Kinematical and dynamical analysis of the moving mechanical systems with constant and non-constant of transmission. Basis of the Impact theory of the bodies. Dynamics of a variable mass body.

Fluid Mechanics

Basic definitions: fluid, pressure, viscosity, friction and ideal flow. Euler's equations of hydrostatics. Relative equilibrium of liquids, vessel moving with constant acceleration, vessel rotating around axis. Hydrostatic pressure on surfaces. Buoyancy. Steady flow of ideal liquid, Bernoulli's theorem. Loss of head, loss of head due to pipe friction. Orifices, tubes and weirs. Force exerted by a jet. Unsteady flow of liquids, discharge under falling head. Water hammer. Flow in rotating channels: pump, turbine, fan. Laminar flow in pipe, laminar flow between two inclined planes. Turbulent flow, turbulent eddy viscosity. Flow around solid bodies: cylinder, rotating cylinder, wing. Boundary layer. Lift and drag.

Heat Transfer

Physical base and calculation methods of the three methods of heat energy transfer (conduction, convection and radiation). Conduction transfer for stationary and non-stationary one-way processes with constant physical properties. Convection heat transfer solved on the base of boundary layers, experimental criterion equations for the processes of outside and inside fluid flows. Radiation heat transfer, radiation properties and basic laws with the application to the radiation of gray bodies. Heat exchangers solved by the methods of logarithm mean temperature difference and by the Number of thermal units methods.

History of Technology

Development of science and technology since ancient times into the contemporary. Aintegrating by parts. The mean value of a function, improper integrals. Applications of definite integrals. Analytic geometry in space, equations for planes and for lines. Lines and planes. Quadric surfaces. Functions of two variables, domain of definition and graph. Limits and continuity for functions of two variables. Partial derivatives. Total differential. Local extrema for functions of two variables. Constrained and global extrema for functions of two variables. Double integrals, basic properties. Substitution in double integrals. Geometric and physical applications of functions of two variables.

Law for Engineers

Legal aspects of engineering study. Application of the law in industry and entrepreneurship. Information on legal standards of engineering activities with regard to integration into European Union. Protection of brainwork, patent law.

Machine Design

Introduction into synthesis of mechanisms – drives and transmissions. Tribological conditions of power transmission. Gears of the 1. Class – gears with rigid kinematics bond. Gears of the 2. Class – force bond. Gears of the 3. Class – hydrodynamic, pneumatic and electromagnetic bond. Dynamic load of clutches. Kinematics and strength analysis of parts of mechanisms. Structural solutions, precision and quality of gear mechanisms. Indicators of precision and reliability. Testing of gear mechanisms. Slide mounting of structural elements. Production and materials for production of chosen elements of mechanisms. Ecological service of mechanisms. CAD/CAE systems for design, analysis, production and mounting of mechanisms.

Machine Parts

Basics of dimensioning and structural parts design. Limit states. Fatigue strength. Removable and permanent joints: bolted, friction, key connections, interference connections, welded, riveted, and glued connections. Springs. Design, checking and mounting of shafts. Critical shafts revolutions. Rolling and slide bearings. Seals. Couplings: mechanical - solid, expansion couplings; claw, friction clutches. Free-wheel clutches. Overload release clutches. Magnetic clutches. Hydrodynamic clutches. Pipes. Pressure vessels. Strength and structural design of chosen machine parts.

Materials Science

Basic principles in mass. Crystal structure of metals and alloys. Phases. Diffusion in metals. Solidification in pure metals. Equilibrium binary phase diagrams. Stable and met stable phase diagrams Fe - C. The effects of alloying elements to the properties of iron alloy. Structural steels. Carbon and Low-Alloy Steels. High-Alloy Steels. Cast iron. Heat treatment of steels. The TTT diagram. Fatigue of metals. Fracture. Corrosion. Wear. Creep. Selected Non-ferrous alloys. Composites. Ceramics.

Mathematics I

Elements of linear algebra. Functions of one real variable. Graphs. Inverse functions. Proper and improper limits. Continuity of functions. Asymptotes to the graph of a function. Derivatives. Derivatives of elementary functions. The differential. L´Hospital’s rule. Monotonicity. Local extrema. Global extrema. Convexity and concavity. Investigating of behavior of functions. Indefinite integrals. Integrating by parts and the substitution method of integrating. Integrating some rational, irrational and trigonometric functions. Some differential equations of the first order. Linear differential equations of the second order with constant coefficients. Homogeneous equations. Solving non-homogeneous linear differential equations of the second order.

Mathematics II

Definite integrals. Newton–Leibniz formula. The substitution method and the method of integrating by parts. The mean value of a function, improper integrals. Applications of definite integrals. Analytic geometry in space, equations for planes and for lines. Lines and planes. Quadric surfaces. Functions of two variables, domain of definition and graph. Limits and continuity for functions of two variables. Partial derivatives. Total differential. Local extrema for functions of two variables. Constrained and global extrema for functions of two variables. Double integrals, basic properties. Substitution in double integrals. Geometric and physical applications of functions of two variables.


Introduction to mechatronics. Goals of mechatronics. Sensors and A/D transducers. Measurement and signal processing. Electrical, hydraulic and pneumatic actuators. Modelling of mechatronic systems. Kinematics and dynamics of planar and spatial multibody mechanical systems. Electrical and hydraulic systems. Introduction to modern control theory. Fuzzy Control, neural Network and artificial Intelligence. Simulation of mechatronic Systems. Design of mechatronics Systems. SMART and Intelligent structures as mechatronic products.

Power Technology

Energy fuels conversion to thermal energy and electric power. Thermal cycles. Technical and economic criteria for heat efficiency conversion to mechanical work. Thermal turbines and steam generators. Thermal power engineering. Hydraulic pumps and turbines. Piston compressors. Axial and radial compressors and fans. Interactivity of fans in common system.

Production Processes I

Casting properties of metals and alloys. Solidification of casting in mold. Expendable and permanent molds. Pattern equipment. Production of expendable moulds. Design and production of castings. Casting defects. Fusion welding methods. Thermal cutting. Resistance welding. Soldering. Welding procedure specifications. Special methods of welding. Quality system in welding. Welding standards. Certification. Welding education system. Fundamentals of elementary theory of plasticity. Primary metal working processes. Sheet metal forming - shearing, bending, deep drawing, spinning. Hot and cold bulk metal forming - upsetting, heading, extrusion, ironing, coining, calibrating, forging. Presses and hammers.

Production Processes II

Basic concepts from the machining process and it’s modeling. Physical properties of the cutting process. Cutting wedge geometry. Working angels. Wear, durability and life-time of a tool. Quality of a surface machined. Machining capability of the material, toughness and pliability. Vibration. Cutting materials. Tool steel, carbides, mineral cutting materials. Further development of cutting materials. Machining fixture. Manufacturing methods – turning, milling, drilling, shaping, grinding. Unconventional methods of machining. Designing manufacturing methods. New directions in machining automation. Assembly process. Assembly methods. Assembly systems.


Origin of the science. Topics and methodology of sociology, basic terms and notions. History of sociological thought. Sources of sociology in the middle ages Theoretical sources of social thought in the early and late Renaissance. Early industrial-economical conceptions. The object of sociology, relationship to other social sciences. Sociology of work. Six main sources of contemporary sociology. Corruption as social phenomenon, organization structures. August Comte and positivism. Some major social institutions. Society and taxes, system of taxation. Herber Spencer and Stuart Mill. Emil Durkheim, French School, K. Marx. Max Weber. US School of phenomenology-George H. Mead.


Thermodynamics system and surroundings, point and path function. Properties of the working matter and its description by models of ideal and real gases and vapors. Mixtures of gases and gas-vapor mixtures. First Law of Thermodynamics and its application to basic processes in closed and open system with ideal and real working matters. Second Law of Thermodynamics, entropy, exergy, irreversibility losses. Thermodynamic cycles of heat engines, heat pumps, compressors and refrigerating machines and their evaluation. Fundamentals of compressible fluid flow, flow in nozzles and diffusers.

Transport Technology

Outlay and the basics of the branch Transport technology. Categorization and principles of piston combustion engines. Characteristics of piston combustion engines. Emissions of piston combustion engines. Aircraft piston engines. Categorization of motor vehicles. Conception and characteristics of motor vehicles. Elements of safety in construction of motor vehicles. Development trends in road motor vehicles. Typology of vessels and their characteristics, river boats, ships, unconventional vessels. Conceptions of vessel equipment and systems. Basics of floatability and stability. Different ways of propulsion and controlling. Technological principles of building and operating river boats and ships. Progressive trends in building and operating vessels. Categorization of mobile machines, technology of work. Basic technical parameters of mobile machines, basic construction parts. Development trends in mobile machines, legislation, reliability, work safety.


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