Our research is focused mainly on problems related to difference equations, differential equations and their systems and mathematical modelling.
- Specifically, we develop the theoretical background of mathematical analysis used in modelling real-life situations and experimental simulations.
- We produce new findings and results that are regularly published in reputable scientific journals. We regularly present our results in qualitative equation theory at international conferences around the world.
- We are also involved in technical drawing and descriptive geometry (including imaging methods and constructive geometry). We have also achieved new results in these areas, especially in the field of construction methods, and have published these in professional journals.
- We offer assistance and computational help to other research groups, ranging from detailed studies of functions and sequences and models using systems of equations to computations using specialised mathematical programmes
- Attention is given mainly to problems that use differential equations (intended for modelling phenomena occurring in continuous time) and differential equations and their systems (intended for modelling phenomena with discrete progression). We also examine linear, non-linear and partial differential equations, including neutral equations and delay equations, all of which are widely used in engineering, the natural sciences and economics.
- In addition to scientific articles, our staff also publish university textbooks and scripts. Teaching support is provided in the form of e-learning, and we also run a server for WeBWorK
Our work has resulted in prestigious projects, publications and other outputs:
Projects
Current
Completed
- Diferenční rovnice a dynamické rovnice na “time scales”
- Diferenční rovnice a dynamické rovnice na ,,time scales” II
- Diferenční rovnice a dynamické rovnice na “time scales” III
- Inovace výuky matematiky v anglickém jazyce na PEF MZLU – multimediální výuka
- Kvalitativní teorie řešení diferenčních rovnic
- Multimediální podpora výuky matematiky na MZLU v Brně
- OPVK Akademie
- Počítačová podpora výuky matematiky pomocí volně šiřitelného software
- Modelování a práce s daty v Pythonu pro začátečníky, Inovační grant MENDELU
Publications
Go to the University Information System.
Collaboration:
- The Department of Mathematics cooperates closely with the Department of Mathematics and Statistics at the Faculty of Science, Masaryk University in Brno, and the Department of Applied Mathematics at the Faculty of Electrical Engineering and Computer Science, VŠB-Technical University in Ostrava.
- We are members of the Union of Czech Mathematicians and Physicists and the Czechoslovak Association of TeX Users.