Course name: Physics (KFY/TFY)
Type: compulsory
Number of contact hours/week: 4 (lecture) + 1 (laboratory work) + 1 (seminar)
2 (self-study)
Course guarantor: RNDr. Radomír Kuchta
List of literature:
[1] Bueche, F.J.: Principles of Physics, McGraw-Hill, New York 1988,
ISBN 0-07-100150-6
[2] Beiser, A.: Concepts of Modern Physics, McGraw-Hill, New York 1987,
ISBN 0-07-004473-2
Brief characteristics:
The course is intended to give students a noncalculus qualitative insight into the following areas:
kinematics and dynamics of motion; special relativity; vibrational motion and propagation of waves; mechanical and thermal properties of matter; thermodynamics of gases; electricity and magnetism; electromagnetic waves and light; quantum mechanics; structure of atoms and nuclei.
Course name: Application of Cybernetics to Mechanical Engineering (KKY/AKS)
Specification: core elective
Number of contact hours/week: 2 (lecture) + 2 (seminar)
2 (self-study)
Course guarantor: Doc. Ing. Eduard Janeček, CSc.
List of literature:
[1] Goodwin G.C.: Control System Design, Prentice Hall , 2001
[2] Weinmann A.: Regelungen, Springer-Verlag , Wien 1987
Brief characteristics:
The course focuses on the following areas:
cybernetic systems and information theory – basic notions, principles; internal and external dynamic system descriptions, time and frequency responses, frequency characteristics, stability of linear dynamic systems; automatic control and compensation, transfer functions in control loops, stability and quality, Nyquist criterion; PID, PSD regulators, setting of parameters; systems with two-state variables, programmable logic controllers, sensors, actuators; industrial communication in machines and in technological processes.
Course name: Geometry (KMA/GE)
Type: compulsory
Number of contact hours/week: 4 (lecture) + 2 (seminar)
3 (self-study)
Course guarantor: Doc. RNDr. František Ježek, CSc.
List of literature:
[1] Kargerová M.: Geometry and Computer Graphics, ČVUT Praha, 1998.
[2] Berger M.: Geometry I, II, Springer 1994, 1996.
Brief characteristics:
The course focuses on the following areas :
linear systems and matrices; matrix algebra; determinants; vector geometry; analytic geometry in the space; methods of descriptive geometry (orthographic and Monge projection, axonometry); geometry of curves and surfaces; transformations; introduction to differential geometry.
Course name: Geometric and Computational Modelling (KMA/GPM)
Type: core elective
Number of contact hours/week: 3 (lecture) + 2 (seminar)
2 (self-study)
Course guarantor: Doc. RNDr. František Ježek, CSc.
List of literature:
[1] Farin, G. (Ed.): Handbook of computer aided geometric design, Elsevier 2002.
Brief characteristics:
The course focuses on the following areas:
matrix form of 3D transformation and projections; homogeneous coordinates; curves and surfaces, parametric representation, curvature and Frenet frame; spline curves, spline under tension; Bézier curves, the Bernstein basis and its properties (de Casteljau algorithm, convex hull, variation diminishing property), spline representation, rational curves; B-spline basis, properties of B-spline curves (Cox - de Boor algorithm); NURBS - description of conics; biparametric surfaces, patches, triangular patches - barycentric coordinates; Coons patches; geometrical modelling in CAD - B - and CSG representation, features based modelling; variational geometry.
Course name: Mathematics 3 (KMA/M3)
Type: core elective
Number of contact hours/week: 3 (lecture) + 2 (seminar)
2 (self-study)
Course guarantor: Prof. RNDr. Stanislav Míka, CSc.
List of literature:
[1] Lovrič, M.: Vector Calculus. Addison-Wesley Publishers Limited, 1997,
ISBN 0-201-42797-4
Brief characteristics:
The course focuses on the following areas :
number and function sequences and series, convergence; Fourier’s series; Laplace’s transformation (in real numbers), use for solving ordinary differential equations, applications; introduction to vector analysis; scalar and vector arrays; parametrization of curves and surfaces; curve and surface integrals; integral theorems of vector analysis and their applications.
Course name: Mathematical Models in Econometrics (KMA/MME)
Type: core elective
Number of contact hours/week: 2 (lecture) + 1 (seminar)
1 (self-study)
Course guarantors: Prof. RNDr. Stanislav Míka, CSc.
Mgr. Blanka Šedivá
List of literature:
[1] Judge, G. a spol.: Theory and Practice of Econometrics, Wiley and Sons, NY 1985.
Brief characteristics:
The course focuses on the following areas :
simple and multiple regression models in econometrics; methods of parameter estimation; special topics in econometrics – probit and logit analyses, nonlinear economic relationships, models of expectations; models for time series; economic dynamics.
Course name: Mathematics for FST 1 (KMA/MS1)
Type: compulsory
Number of contact hours/week: 4 (lecture) + 1 (seminar)
1 (self-study)
Course guarantor: Prof RNDr. Stanislav Míka, CSc.
List of literature:
[1] Edwards, C., H.: Calculus with Analytic Geometry. Prentice Hall, New Jersey, 1998,
ISBN 0-13-736331-1
Brief characteristics:
The course focuses on the following areas :
sequences and series in R1; difference equations; functions of one variable; differential calculus; integral calculus; elementary differential equations; simple dynamic systems.
Course name: Mathematics for FST 2 (KMA/MS2)
Type: compulsory
Number of contact hours/week: 4 (lecture) + 1 (seminar)
2 (self-study)
Course guarantor: Prof. RNDr. Stanislav Míka, CSc.
List of literature:
[1] Howard A.: Calculus with Analytic Geometry. John Wiley, New York, 1995,
ISBN 0-471-59495-4
Brief characteristics:
The course is intended to give students a good insight into the following areas :
differential models of dynamic systems; first-order differential equations and first-order systems; initial value problems; oscillation and equilibrium; fundamental, general and particular solutions; scalar functions of several variables, graphs and contour curves; vector functions; differential and integral calculus of functions of several variables; curve and surface integrals; differential and integral characteristics of vector fields.
Course name: Numerical and Geometric Modelling (KMA/NGM)
Type: core elective
Number of contact hours/week: 2 (lecture) + 1 (seminar)
1 (self-study)
Course guarantor: Doc. RNDr. František Ježek, CSc.
List of literature:
[1] Farin, G. (Ed.): Handbook of computer aided geometric design. Elsevier 2002.
Brief characteristics:
The course focuses on the following areas :
solution of systems of linear algebraic equations - iterative methods, interpolation and approximation; numerical solution of ordinary and partial differential equations, optimization; spline, Bézier, B-spline and NURBS curves and surfaces; Coons patches; visualization and animation; solid modelling and exchange formats; application of Matlab and Rhino.
Course name: Probability and Statistics B (KMA/PSB)
Type: compulsory
Number of contact hours/week: 2 (lecture) + 1 (seminar)
2 (self-study)
Course guarantor: Doc. RNDr. Jiří Reif, CSc.
List of literature:
[1] Farlow, S. J., Haggard, G. M.: Applied Mathematics, Random House, New York, 1988.
[2] Triola, M. F.: Elementary Statistics, The Benjamin Publishing Comp., California, 1989.
Brief characteristics:
The course focuses on the following areas :
random events, probability, discrete and continuous random variables, approximation by a normal distribution, descriptive statistics, estimation of parameters, testing of hypotheses, goodness-of-fit tests, correlation and regression analyses.
Course name: Seminar – Differential Calculus (KMA/SDP)
Type: core elective
Number of contact hours/week: 0 (lecture) + 2 (seminar)
1 (self-study)
Course guarantor: RNDr. Petr Tomiczek, CSc.
List of literature:
[1] Neustupa, J.: Mathematics I, Vydavatelství ČVUT, 1996
[2] Bubeník, F.: Problems to mathematics for engineers, ČVUT Praha, 1999
Brief characteristics:
The course focuses on the following areas :
elements of the set theory, real numbers; sequence of real numbers; series of real numbers, partial sum, limit of series; convergence and absolute convergence of series, alternating series; real functions of one independent real variable, derivative, differential of function; basic theorems of differential calculus; Taylor formula and derivatives of a higher order, graphs of functions; integration, indefinite integrals, properties of integrals; integration techniques; Newton integral, basic theorem of integral calculus.
Course name: Seminar – Integral Calculus (KMA/SIP)
Type: core elective
Number of contact hours/week: 0 (lecture) + 2 (seminar)
1 (self-study)
Course guarantor: RNDr. Petr Tomiczek, CSc.
List of literature:
[1] Bubeník, F.: Problems to mathematics for engineers, ČVUT Praha, 1999
Brief characteristics:
The course focuses on the following areas :
vector valued function, linear normed space, complex functions of one variable, curves in $R^n$, Euler´s equality; differential equations, first-order equations, separation of variables, homogeneous, nonhomogeneous equations; linear equations of the first-order and arbitrary-order, variations of parameters; boundary value problems, systems of first-order equations; sequences and series of functions, power series; trigonometrical and general Fourier series; Laplace series; function of several variables; differential calculus in several variables; Taylor series; implicit function theorem and solvability of functional equations; elements of the optimization theory in $R^n$; Riemann integral in $R^n$; integrals depending on parameters.
Course name: Experimental Mechanics (KME/EXM)
Type: core elective
Number of contact hours/week: 2 (lecture) + 2 (seminar and laboratory work)
2 (self-study)
Course guarantor: Prof. Ing. František Plánička, CSc.
List of literature:
[1] Dally, J. W., Riley, W. F.: Experimental Stress Analysis, McGraw-Hill 1991,
ISBN 0-07-015218-7
[2] Handbook on Experimental Mechanics, VCH Publishers, 1993,
ISBN 1-56081-640-6
[3] Ewins, D. J.: Modal Testing: Theory and Practice, Bruel&Kjær, 1986
Brief characteristics:
The course focuses on the following areas :
dimensional analysis and relations of strains and stresses in a model and a real structure, analysis of strain and stress states of structures using models; electrical-resistance strain gauges; statistical analysis of experimental data; computer measuring systems; discrete Fourier transformation and its use for calculation of dynamic responses of mechanical systems; ways of numerical processing of signals; utilization of frequency analysers; measurement of periodical vibrations using a computer and of non-periodical vibrations using an analyser; experimental determination of modal and frequency characteristics.
Course name: Experimental Stress Analysis (KME/EXP)
Type: elective
Number of contact hours/week: 2 (lecture) + 2 (seminar and laboratory work)
2 (self-study)
Course guarantor: Prof. Ing. František Plánička, CSc.
List of literature:
[1] Hearn, E. J.: Mechanics of Materials, Pergamon Press Ltd, 1985, ISBN 0-08-030529-6
[2] Dally, J. W., Riley, W. F.: Experimental Stress Analysis, McGraw-Hill 1991,
ISBN 0-07-015218-7
[3] Handbook on Experimental Mechanics, VCH Publishers, 1993,
ISBN 1-56081-640-6
Brief characteristics:
The course focuses on the following areas :
formulation of the problem; dimensional analysis, dimensional homogeneity; relations between strains and stresses in a model and a real structure; measuring systems; preparation of an experiment, carrying out the experiment and evaluation of experimental data; error theory, errors of measurement; electrical-resistance strain gauges, theory of photoelasticity, methods using interference (holography, moire´ method), brittle lacquers method; gauges and equipment for measurement and registration of measured magnitudes; force transducers; use of experimental methods in practice.
Course name: Mechanics 1 (KME/MECH1)
Type: compulsory
Number of contact hours/week: 3 (lecture) + 2 (seminar)
2 (self-study)
Course guarantor: Prof. Ing. Jiří Křen, CSc.
List of literature:
[1] Meriam, J. L., Kraige, L. G.: Engineering Mechanics - Statics, John Wiley & Sons, Inc., 1998, ISBN 0-471-24164-4
[2] Meriam, J. L., Kraige, L. G.: Engineering Mechanics - Dynamics, John Wiley & Sons, Inc., 1998, ISBN 0-471-24167-9
Brief characteristics:
The course focuses on the following areas :
subject of mechanics, classification; kinematics of a particle, rectilinear and curvilinear motion; body motion in a plane, translatory, rotary and general motion; basic resolution, simultaneous motion of bodies in a plane, general resolution; force and couple – definition and basic properties; force fields, work, power, theory of force systems; mounting and equilibrium of a particle and a body in a plane, friction; synthesis of mechanical systems, kinematic analysis of mechanisms and systems with gears, static analysis of body systems.
Course name: Mechanics 2 (KME/MECH2)
Type: compulsory
Number of contact hours/week: 2 (lecture) + 2 (seminar)
2 (self-study)
Course guarantor: Prof. Ing. Vladimír Zeman, DrSc.
List of literature:
[1] Hibbeler, R. C.: Engineering Mechanics - Dynamics, Prentice-Hall, Inc., 1995,
ISBN 0-13-353715-3
[2] Rao, S. S.: Mechanical Vibrations, Addison-Wesley Publishing Company, 1995,
ISBN 0-201-59289-4
[3] Shabana, A. A.: Theory of Vibration, Springer-Verlag, 1996, ISBN 0-387-94524-5
Brief characteristics:
The course focuses on the following areas :
equation of motion, fundamental laws of mechanics, D’Alambert’s principle, laws of mass particle system motion; mass centre, moments of inertia, products of inertia of a body; analysis of translatory, rotary and plane body motion; dynamics of body systems by decomposition and reduction methods; principle of virtual work in statics and dynamics, Lagrange’s equations and their technical applications; free and forced vibrations of linear systems with one DOF; eigenfrequencies, eigenshapes and steady harmonically excited vibration of linear systems with two DOF.
Course name: Mechanics of Rotary Machines (KME/MRS)
Type: core elective
Number of contact hours/week: 2 (lecture) + 1 (seminar)
2 (self-study)
Course guarantor: Prof. Ing. Vladimír Zeman, DrSc.
List of literature:
[1] Yamamoto, T., Ishida, Y.: Linear and Nonlinear Rotordynamics, JohnWileySons,Inc., 2001, ISBN 0-471-18175-7
[2] Krämer, E.: Dynamics of Rotors and Foundations, Springer-Verlag, 1993,
ISBN 3-540-55725-3
Brief characteristics:
The course focuses on the following areas :
inertia effects on a rotating body; reactions in bearings , rigid rotor balancing; elastic seating of rotating machines; vibration of Laval´s rotor in rigid and flexible bearings; vibration and motion stability of Laval´s rotor with a noncircular shaft; circular vibration of rotors with one generally mounted disc; modelling vibration of a rotor with more discs by the influence coefficient method and the finite element method; dynamics of rotor systems; bending vibrations of beams; vibration of rotary machine blades.
Course name: Mechanics of Vehicles (KME/MV)
Type: core elective
Number of contact hours/week: 2 (lecture) + 2 (seminar)
2 (self-study)
Course guarantor: Doc. Ing. Jaromír Švígler, CSc.
List of literature:
[1] Ellis, J. R.: Vehicle Dynamics, Business Books Ltd., London, 1969
[2] Schiehlen W.(Ed.) : Multibody Systems Handbook, Berlin u.a., Springer-Verlag, 1990
Brief characteristics:
The course focuses on the following areas :
application of theoretical knowledge of mechanics to the solution of force and velocity problems of a road or railway vehicle in motion; adhesion, rolling resistance, air resistance, climb, acceleration, dynamics of braking; drive power; demands on the driving and transmission systems; geometry of steering; motion in uneven terrain, springing and damping, driving properties, stability of vehicles, critical speed.
Course name: Mechanics of Materials 1 (KME/PP1)
Type: compulsory
Number of contact hours/week: 3 (lecture) + 2 (seminar)
2 (self-study)
Course guarantor: Prof. Ing. František Plánička, CSc.
List of literature:
[1] Spiegel, L., Limbrunner,G. F.: Applied Statics and Strength of Materials, Macmillan