STU, Faculty of Mechanical Engineering,
Nám. slobody 17, 812 31 Bratislava, Slovak Republic
Annual Report 2005
DEPARTMENT OF MATHEMATICS
Head of Department:
Blahoslav Harman, PhD., Assoc. Professor
Tel.: ++421 - 2 - 57296350
++421 - 2 - 52926626
I. STAFF
Associate Professors
Jana Dobrakovová, PhD., Assoc. Prof.
Associate Professor in: Mathematical analysis
Research topics: Fuzzy analysis, Fuzzy functions and operators, Aggregation operators,
Modelling of uncertainty
Blahoslav Harman, PhD., Assoc. Prof.
Associate Professor in: Probability and mathematical statistics
Research topics: Ergodic theory, Stochastic modelling and simulation
Ivan Janiga, PhD., Assoc. Prof.
Associate Professor in: Instrumentation, Informatics and automation technology
Research topics: Statistics in quality control and process control
Daniela Velichová, PhD., Assoc. Prof.
Associate Professor in: Applied mathematics
Research topics: Intrinsic geometry of curves, Surfaces and solids (differential methods),
Modelling of inhomogeneous solids, Geometric methods in CAGD
Senior lecturers: 10
Research workers: 0
PhD. students: 0
Technical staff: 1
III. TEACHING
III.1 Undergraduate Study
Name of subject
Mathematics I
107
semester
hours per week
lectures seminars
1
4-4
reader’s name
J. Dobrakovová
B. Harman
D. Velichová
V. Záhonová
Annual Report 2005
DEPARTMENT OF MATHEMATICS
Programming
1
2-2
J. Dobrakvová
M. Kováčová
V. Záhonová
D. Velichová
J. Dobrakovová
B. Harman
V. Záhonová
M. Kováčová
I. Janiga
M. Kováčová
Constructive Geometry
Mathematics II
1
2
2-2
2-3
Programming
Computation methods for technicians
3
4
2-2
2-2
1
1
38-12
18-6
J. Dvoranová
M. Kováčová
Applied Mathematics
7
2-2
Statistical analysis
Statistical analysis of data in specialisation
Semestral project
Semestral project
Semestral project
Diploma project
7
7
8
8
9
10
3-3
2-2
0-4
0-4
0-4
0-5
B. Harman
M. Kováčová
V. Záhonová
I. Janiga
I. Janiga
I. Janiga
M. Kováčová
I. Janiga
I. Janiga
Distance learning
Mathematics I
Programming
III.2 Graduate Study
III.3 Postgraduate Study
Partial differential equations
Selected Methods of Applied Statistics
M. Kováčová
I. Janiga
IV. RESEARCH TARGETS
-
Differential equations - oscillatory and non-oscillatory solutions of ordinary differential
equations
Fuzzy analysis - fuzzy functions, operators, aggregates, modelling of uncertainty, construction
of different types of aggregation operators, analysis of their properties and the possibilities of
their use and applications , creation of a fuzy regulator for macroseismic intenzity evaluation
Geometry - geometric methods in CAGD and solid modelling, intrinsic geometry of curves,
surfaces and solids (differential methods), modelling of free-form curves, surfaces and
inhomogeneous solids
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DEPARTMENT OF MTHEMATICS
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Annual Report 2005
Statistics - analysis of measurement processes and the selection of suitable methods of statistical
analysis, statistics and quality control, progressive statistical methods and decision-making in
the process of quality improvement
Signal Processing - time-frequency analysis of seismic signals, denoising, site effect
investigation, wavelet transform, energy distributions, Matching Pursuit decomposition, wavelet
image compression and pattern recognition, time-frequency detection of high non-stationary
signals, seismological pattern recognition of underground explosions
Mathematical modelling - differential and probabilistic models of mechanical-engineering
problems, random processes in mechanical engineering and their stochastic simulation, Monte
Carlo Method in mechanical engineering, generation of pseudo-random sequences
Mathematics education - modernisation of the contents and forms of teaching and assessment
methods, activities aimed at increasing the effectiveness of the mathematics education process,
distance learning - interactive textbook on geometry “Geometry on the WEB and Mathematics
courses (MATHEMATICA- ON LINE) available on the Internet
V. RESEARCH PROJECTS
-
Grant project Kega 3/1006/03 – Mathematics on-line: Internet course (2004-2005), project
manager J. Dobrakovová
Grant project Vega 1/1247/04 – Progressive statistical methods and decision in the quality
improvement process, project partner I. Janiga
Grant project Vega č. 1/0134/03 – Evaluation methods of sensors calibration
1/1247/04 – Progressive statistical methods and decision in the quality improvement process,
project partner I. Janiga
Project SOP ĽZ 2004/1-032 CEDIV-M – Centrum of the Life-long Learning for Mathematics
Teachers for Education of the Subject with the Aid of PAS (2004-2006), project manager M.
Kováčová
Project JPD 3 2004/1-020 M-ePORTÁL – Educational portal of the Mechanical Engineering
Faculty, Slovak University of Technology to Support Dissemination of Education, e-learning
and webMathematica PAS (2004-2006), project manager M. Kováčová
VI. COOPERATION
VI.1 Cooperation in Slovakia
-
Geophysical Institute and Institute of Informatics at the Slovak Academy of Sciences
Slovak Institute for Technical Standardization
Slovak Society for Geometry and Graphics
Slovak Standards Institute
Union of Slovak Mathematicians and Physicists
VI.2 International Cooperation
-
Buskerud University, Norway
Coventry University, UK
Czech Technical University, Prague
Elkan, Central European reseller Mathematica for Wolfram Inc., Czech Republic
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DEPARTMENT OF MATHEMATICS
Industriel documention, Norway
International Society for Geometry and Graphics, Japan
Miskolc University, Hungary
Plovdiv University, Bulgaria
Soft4Science, Munchen, Germany
Sogn of Fjordane University, Norway
Statsoft CR, Czech and Slovak distributor for StatSoft Inc.
Technical University Ostrava, Czech Republic
University Commilas Pontificia, Madrid
University of Limerick, Ireland
University of Salamanca, Spain
VI.3 International Scientific Programs
-
Project Leonardo da Vinci No. N/03/B/F/PP/165.011, dMath - Building a European database of
mathematical e-learning modules (2003 - 2006), project manager D. Velichová
VI.4 Contracts
-
CONTRACT No. 523/2003/MU
ISO/IEC and CEN/CENELEC standardisation tasks
Expert – I. Janiga
CONTRACT No. SAS5-CT-2002-50011
COMMISION OF THE EUROPEAN COMMUNITIES, RESEARCH DIRECTORATE
GENERAL, European Research Area: Science and Society, Women in Science
STRATA -ETAN Expert group, expert - D. Velichová
VI.5 Memberships in Domestic Organisations and Societies
-
I. Janiga - Committee of the Slovak Statistical and Demography Society
D. Velichová - Committee for Mathematical Education at Technical Universities - Union of
Slovak Mathematicians and Physicists
D. Richtáriková, D. Szarková, D. Velichová (president) - SSGG, Slovak Society for Geometry
and Graphics
I. Janiga - Technical Committee TK 71-Applications of Statistical Methods in Quality Control
(chairman)
Union of Slovak Mathematicians and Physicists
VI.6 Memberships in International Organisations and Societies
-
D. Velichová – ISSG, International Society for Geometry and Graphics
I. Janiga – ISO/TC 69/ WG3 working group WG3 of the technical committee TC 69 for ISO
standards establishment
D. Velichová - Mathematics Working Group within the European organisation for engineering
education SEFI (Steering committee member)
D. Velichová – Polish Society for Geometry and Graphics (honorary member)
VI.8 Visits of Staff Members and Postgraduate Students to Foreign Institutions
-
M. Kováčová – University of Sogn og Fjordane, Norway (4 days)
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DEPARTMENT OF MTHEMATICS
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Annual Report 2005
D. Velichová – University of Sogn og Fjordane, Norway (4 days)
D. Velichová – University of Waterloo, Canada (8 days)
D. Velichová – Croatian Society for Geometry and Graphics, Varaźdin, Croatia (4 days)
D. Velichová – Czech Technical University, Prague, Czech Republic (4 days)
VII. THESES
VII.2 Graduate Theses (Diploma Works)
(Supervisor’s name in the brackets)
[1] Bekarslanov, P.: Fluctuation of employees in the company RIEKER SHUH, A.G.
in selected affiliations in Slovakia
(I. Janiga)
[1] Dinga, M.: Evaluation of the reliability and durability of motor vehicle
(I. Janiga)
[1] Gálik, D.: Influence of raw materials on the quality of products in the firm
SAM HOLDING, a. s. Myjava
(I. Janiga)
[1] Hulla, P.: Statistical quality control of production in the company
KAPPA Štúrovo, a. s.
(I. Janiga)
[1] Martinkovičová, M.: Statistical quality control of the products from spring and
shaped particles from wire and tape in the firm PFS, a. s. Brezová pod Bradlom (I. Janiga)
[1] Michalková, M.: Statistical inspection of the accuracy of filling liquid materials
in company AMT, s. r. o.
(I. Janiga)
[1] Palcutová, V.: Proposal of effective storage of supplies of the hydraulic equipment in the firm
IKEMA, spol. s r. o.
(I. Janiga)
[1] Paroš, J.: Statistical process control in Železiarne Podbrezová
(I. Janiga)
[1] Podmajerský P: Dependence of the citizen’s deposits on the level
of the interest rate
(I. Janiga)
[1] Šuleková, E.: Proposal of effective storage of supplies of spare parts
for the high-pressure hydraulics
(I. Janiga)
VII.3 Bachelor Theses
[1] Cutlac, A.: Measurement accuracy of the main round characteristics
of the combustion machine
(M. Omachelová)
VIII. OTHER ACTIVITIES
-
Memberships in the Editorial Boards and Advisory Editorial Boards:
Fuzzy Sets and Systems – J. Dobrakovová
G (Slovak Journal for Geometry and Graphics) – D. Velichová (editor in chief), D.
Richtáriková, D. Szarková
Journal for Geometry and Graphics (ISCG, Japan) ) – D. Velichová
Machine GRAPHICS & VISION (Polish Academy of Sciences, Warsaw, Poland) – D.
Velichová
Slovak Statistics and Demography – I. Janiga
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Annual Report 2005
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DEPARTMENT OF MATHEMATICS
Memberships in the Scientific Committees of International Conferences:
Aplimat, SR – J. Dobrakovová, B. Harman, I. Janiga, M. Kováčová, D. Velichová
SCG Symposium on Computer geometry, SR – D. Velichová
Mechanical Engineering 2005, SR – B. Harman
Seminar Geometry and Computer, Poland – D. Velichová
Geometry and Graphics in Teaching Contemporary Engineer, Poland – D. Velichová
SEFI - MWG Seminars on Mathematics in Engineering Education, Norway – D. Velichová
Organisation and scientific guarantee of international conferences: Aplimat – conference on
applied mathematics, SCG - Symposium on Computer Geometry
Organisation of the Students Scientific Conference at the FME STU, section Applied
Mathematics in technical practise
Organisation of the repetition courses in collegiate Mathematics and Descriptive Geometry
Membership in the Slovak dissertation and habitation committees
Scientific and applied invited lectures
Publishing of the periodical G - Slovak Journal for Geometry and Graphics
Reviews of papers in proceedings and scientific journals, lecture notes and books
Specialised interpretations of scientific publications, standards and textbooks
IX. PUBLICATIONS
[1] Dobrakovová, J.: Fuzzy functions on triangular fuzzy numbers. In: APLIMAT: the 4th
International Conference Proceedings, Part I. Bratislava: KM SjF STU, 2005, pp. 487-492,
ISBN 80-969264-3-8
[2] Dobrakovová, J.: Investigation of behaviour of functions by means of the system Mathematica.
In: XXIII International Colloquium on the Acquisition Process Management: Conference
Proceedings. Brno: University of Defence, 2005, Czech Republic, p. 56, ISBN 80-85960-92-3
[3] Dobrakovová, J., Záhonová, V.: How to integrate without the Newton-Leibniz formula. In:
Mechanical Engineering 2005: the 9th International Conference Proceedings. STU in
Bratislava, 2005, p. 188-192, ISBN 80-227-2341-2 (in Slovak)
[4] Ďurikovičová, M., Szarková, D., Velichová, D.: Constructive geometry worksheets.
Publishing house of STU, Bratislava 2005, SR, 83 pp. ISBN 80-227-2252-9
[5] Gabková, J.: Mathematics for the European engineers at the beginning of the third millenium.
In: APLIMAT: the 4th International Conference Proceedings, Part I. Bratislava: KM SjF STU,
2005, pp. 275-280, ISBN 80-969264-3-8 (in Slovak)
[6] Garaj, I., Janiga, I.: One sided tolerance limits of normal distribution with unknown mean and
variability. Bratislava: Vydavateľstvo STU, 2005, 214 pp. ISBN 80-227-2218-9 (in Slovak)
[7] Garaj, I., Janiga, I.: Application of one-sided tolerance factors of normal distribution in
sampling inspection by variables. In: APLIMAT: the 4th International Conference
Proceedings, Part I. Bratislava: KM SjF STU, 2005, pp. 133- 142, ISBN 80-969264-1-1 (in
Slovak)
[8] Harman, B., Kolláth, Ľ., Chren, O.: A note to the mathematical model of tricept. In:
Mechanical Engineering 2005: the 9th International Conference Proceedings. STU in
Bratislava, 2005, pp. 761-765, ISBN 80-227-2341-2 (in Slovak)
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DEPARTMENT OF MTHEMATICS
Annual Report 2005
[9] Harman, B., Vereš, M., Bošanský, M.: Determination of correct mating teeth flanks for
common plane gearing without any mesh interferences. In Mechanical Engineering 2005: the
9th International Conference Proceedings. STU in Bratislava, 2005, pp. 875-880, ISBN 80227-2341-2
[10] Janiga, I., Garaj, I.: One-sided tolerance factors of normal distributions with unknown mean
and variability. In: MEASUREMENT 2005: the 5th International Conference on
Measurement Proceedings, Bratislava: VEDA, Publishing house of SAV, 2005, pp. 39-42,
ISBN 80-967402-8-8
[11] Janiga, I., Cisko, I.: Sample size for confidence interval for normal distribution mean. In:
Mechanical Engineering 2005: the 9th International Conference: Proceedings. Faculty of
Mechanical Engineering, STU in Bratislava, 2005, pp. 664-666, ISBN 80-227-2314-2 (in
Slovak)
[12] Janiga, I., Garaj, I.: On one-sided tolerance intervals of normal distribution with unknown
parameters. In: Journal of the Applied Mathematics, Statistics and Informatics (JAMSI).
ISBN 80-89034-95-0, 2005, vol. 1, no. 1, Natural Sciences Faculty of UCM, pp. 87-100
[13] Janiga, I., Garaj, I.: On exact computation of one-sided tolerance factors of normal
distribution. In: Forum Statisticum Slovacum, ISSN 1336-7420, 2005, vol. 1, No. 1/2005,
Slovak Statistical and Demographical Society, pp. 74-79
[14] Janiga, I., Palenčár, R.: STN ISO 10725 Acceptance sampling plans and procedures for the
inspection of bulk materials. Slovak standard, Slovak Standard Institute, Bratislava, 2005
[15] Janiga, I., Palenčár, R.: STN ISO 11843-3 Capability of detection. Part 3: Methodology for
determination of the critical value for the response variable when no calibration data are
used. Slovak standard, Slovak Standard Institute, Bratislava, 2005
[16] Janiga, I., Garaj, I.: Tolerance intervals – useful methods for metrology. In: Proceedings of the
12th collegium of Calibration Association of Slovak republic, Hotel Pelikán in Lačenec, April
2005, pp. 66-75
[17] Janiga, I.: Actual information from international standardization in applied statistical
methods. In: Proceedings of the 12th collegium of Calibration Association of Slovak
Republic, Hotel Pelikán in Lačenec, April 2005, pp. 66-75
[18] Jančo, R., Kováčová, M.: Utilisation of package MECHANICS EXPLORERS BEAM in the
programme Mathematica for solution of Euler-Bernoulli girders. In: APLIMAT: the 4th
International Conference Proceedings, Part I. Bratislava: KM SjF STU, 2005, SR, pp. 197204, ISBN 80-969264-3-8 (in Slovak)
[19] Kováčová, M., Prskavec, L.: The first look at the webMathematica Author tool. In:
APLIMAT: the 4th International Conference Proceedings, Part I. Bratislava: KM SjF STU,
2005, pp. 321-328, ISBN 80-969264-3-8 (in Slovak)
[20] Kováčová, M.: webMathematics vs. Mathematica. In: XXIII International Colloquium on the
Acquisition Process management: Conference Proceedings. Brno: University of Defence,
2005, Czech Republic, p. 59, ISBN 80-85960-92-3
[21] Kováčová, M.: Non-decimated wavelet transforms and their wavelet variance analysis. In:
Mechanical Engineering 2005: the 9th International Conference Proceedings. STU in
Bratislava, 2005, pp. 197-205, ISBN 80-227-2341-2
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DEPARTMENT OF MATHEMATICS
[22] Maleček, K., Szarková, D.: Levi-Civitta-parallelism of a vector along a space curve. In:
Symposium on Computer Geometry SCG' 2005: Proceedings. Volume 14, Slovak Society for
Geometry and Graphics, Kočovce 2005, SR, pp. 60-65, ISBN 80-227-2278-2 (in Czech)
[23] Omachelová, M.: Results achieved in the experimental education in subject Mathematics II in
the years 1996 -2002: evaluation of the experiment. In: APLIMAT: the 4th International
Conference Proceedings, Part I. Bratislava: KM SjF STU, 2005, pp. 335-342, ISBN 80969264-3-8 (in Slovak)
[24] Omachelová, M.: Experimental education of Mathematics at FMI STU in the eyes of students.
In: XXIII International Colloquium on the Acquisition Process management: Conference
Proceedings. Brno: University of Defence, Czech Republic, p. 62, ISBN 80-85960-92-3
[25] Prášilová, M.: Existence Theorem and Structure of Solution Sets to ordinary Differential
Systems. In: Journal of the Applied Mathematics, Statistics and Informatics (JAMSI). ISBN
80-89034-95-0, 2005, vol. 1, no. 1, Natural Sciences Faculty of UCM, pp. 59-75
[26] Richtáriková, D., Kundis, P.: Usage of fractal dimension and entropy in the analysis of
experimental data. In: Symposium on Computer Geometry SCG' 2005: Proceedings. Volume
14, Slovak Society for Geometry and Graphics, Kočovce 2005, SR, pp. 75-80, ISBN 80-2272278-2 (in Slovak)
[27] Stareková, A.: Design of non-proportional damped systems via symmetric positive inverse
problems. In: APLIMAT: the 4th International Conference Proceedings, Part I. Bratislava:
KM SjF STU, 2005, pp. 361-368, ISBN 80-969264-3-8
[28] Stareková, A., Starek, L.: Current state-of-art in the field of SMART materials application. In:
Mechanical Engineering 2005: the 9th International Conference Proceedings, STU in
Bratislava, 2005, pp. 396-411, ISBN 80-227-2341-2 (in Slovak)
[29] Velichová, D.: Multi-axial revolutions. In: APLIMAT: the 4th International Conference
Proceedings, Part I. Bratislava: KM SjF STU, 2005, pp. 389-395, ISBN 80-969264-3-8
[30] Velichová, D.: European Virtual Laboratory of Mathematics. In: XXIII International
Colloquium on the Acquisition Process Management: Conference Proceedings. Brno:
University of Defence, 2005, Czech Republic, p. 65, ISBN 80-85960-92-3
[31] Velichová, D.: European Virtual Laboratory of Mathematics. In: Actual Trends in
Mathematical Education after Entering the European Union: Conference Proceedings. FEM
SPU Nitra, 2005, SR, pp. 138-143, ISBN 80-8069-549-0 (in Slovak)
[32] Velichová, D.: Two-axial surfaces of revolution II. In: The 25th Conference on Geometry and
Graphics: Conference Proceedings, ČVUT Prague, 2005, Czech Republic, pp. 279-286, ISBN
80-7015-013-0 (in Slovak)
[33] Velichová, D.: Two-axial surfaces of revolution. In: 11th Conference of Croatian Society for
Constructive Geometry and Computer Graphics CSCGCG: Proceedings. Varaždin, 2005,
Croatia
[34] Velichová, D.: Geometry modules on web. In: Symposium on Computer Geometry SCG'
2005: Proceedings. Volume 14, Slovak Society for Geometry and Graphics, Kočovce 2005,
SR, pp. 81-86, ISBN 80-227-2278-2
[35] Velichová, D.: Two-axial surfaces of revolution - spherical and Euler Type. In: Mechanical
Engineering 2005: the 9th International Conference Proceedings. STU in Bratislava, 2005, pp.
222-231, ISBN 80-227-2341-2
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[36] Velichová, D., Kováčová, M.: Engineering mathematics on the web. In Virtual University:
International Conference Proceedings. FEI STU in Bratislava, 2005, p. 101-106, ISBN 80227-2336-3
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