Department of Applied Mathematics and Descriptive Geometry
Employees
| prof. Ing. Roman VODIČKA, PhD. | 602 4388 | 433 | roman.vodicka@tuke.sk |
| doc. RNDr. Pavol PURCZ, PhD. | 602 4387 | 432 | pavol.purcz@tuke.sk |
| RNDr. Andrea KANÁLIKOVÁ, PhD. | 602 4386 | 431 | andrea.kanalikova@tuke.sk |
| RNDr. Katarína KRAJNÍKOVÁ, PhD. | 602 4387 | 432 | katarina.krajnikova@tuke.sk |
Basic information
The department focuses on the teaching of mathematics, descriptive geometry and applications of mathematics. The department is involved in research in those areas of civil engineering where mathematical modelling methods are used.
Pedagogical activity
The department participates in education in all study programmes of the Faculty of Civil Engineering TUKE of bachelor, engineer and doctoral studies. It provides teaching of subjects in the fields of mathematics, applied mathematics and descriptive geometry. The use of mathematical methods in practice is implemented at the workplace mainly in the field of applied mathematics through the MATLAB software. The modelling of tasks in descriptive geometry is mediated by the Geogebra software.
Scientific research activity
The department focuses on research in the field of applied mathematics with an emphasis on the development of advanced methods and tools necessary for the process of mathematical modelling and its application in various areas of civil engineering. These activities cover computations using finite element methods combined with nonlinear programming methods for simulations of mechanical systems with nonlinear response in the analysis of engineering structures, the solution of problems in multicriteria optimization with evaluation and decision making in the field of civil engineering, and the development of statistical methods needed for ecosystem modeling. The developed calculation tools use MATLAB software.
References
- Aplikovaná matematika pre stavebných inžinierov: od vektorov ku konečným prvkom / R. Vodička / 1st ed., Košice: Technical University of Košice, 2021. 232 s. ISBN 978-80-553-3778-4
- Matematika 1 / P. Purcz, K. Krajníková / 1st ed., Košice: Technical University of Košice, 2022. 520 s. ISBN 978-80-553-4071-5
- Matematika II / P. Purcz, K. Krajníková / 1st ed., Košice: Technical University of Košice, 2022. 300 s. ISBN 978-80-553-4100-2
- A new quasi-static delamination model with rate-dependence in interface damage and its operation under cyclic loading / R. Vodička / In: International Journal of Solids and Structures, no. 224 (2021), pp. [1-14]. ISSN 0020-7683
- A mixed-mode dependent interface and phase-field damage model for solids with inhomogeneities / R. Vodička / In: Theoretical and Applied Fracture Mechanics, vol. 127 (2023), no. 104009. ISSN 0167-8442
- Effect of External Tendon Profile on Improving Structural Performance of RC Beams / G. Mohamed, A.S. Eisa, P. Purcz, R. Ručinský, M.H. El-Feky / In. 12, no. 6 (2022), pp. [1-16]. ISSN 2075-5309
- Spatial and temporal variability of rainfall trends in response to climate change a case study / M. Zeleňáková, H.F. Abd-Elhamid, K. Krajníková, P. Purcz, J. Smetanková, I. Alkhalaf / In. 14, no. 10 (2022), pp. [1-27]. ISSN 2073-4441
Current projects:
- VEGA 1/0363/21 Cracks in Composite Structural Elements and Their Interaction under Mechanical Stress
- KEGA 052TUKE-4/2021 New methods of teaching mathematics at the Faculty of Civil Engineering of TUKE applicable also in the conditions of distance education