We help develop a three-dimensional imagination in students and contribute to the development of students’ thinking. We teach them to take responsibility for completing their work. We educate professionals in their doctoral studies. We participate in further developing our areas of study. In our research work we provide technical and scientific support to specialized institutes.

**We offer the following:**

**In the field of research:**

- Normal differential equations, functional differential equations, functional equations, discrete equations (use of equivalence theory, qualitative and quantitative characteristics of solutions, analytical representation of solutions, asymptotic characteristics of solutions, oscillation and non-oscillation of solutions, stability, marginal tasks, global solutions, application to models of technical fields)
- Partial differential equations (qualitative characteristics of solutions)
- Variation number (non-traditional problems)
- Differential forms, their applications in variation number and general systems of partial differential equations
- Numerical methods (approximate solution of marginal tasks for normal and partial differential equations, theory of approximation, Taylor range method)
- Systems of computer algebra, computer graphic systems
- Mathematical statistics, probability, analysis of time ranges, regression analysis and other multidimensional statistical methods
- Use of software in solving applied tasks of probability, mathematical statistics, analysis of time ranges, regression and correlation analyses, geostatistics
- Theory of graphs, optimization algorithms, formal languages
- Algebraic structures and their application (monounary algebra, rough sets)
- Modelling, analysis and control of discrete systems in diode algebra (max algebra, min algebra)
- Descriptive geometry
- History of descriptive geometry
- Technical and scientific mathematical lectures by guest local and foreign experts

**In the field of teaching:**

- Mathematics and descriptive geometry (basic courses in Czech and English)
- Operational research
- Probability and mathematical statistics
- Mathematical methods in the economy
- Regression and correlation analysis
- Numerical methods
- Application of mathematics in civil engineering
- Time ranges
- Realizing combined forms of study
- Spring preparatory courses of mathematics and descriptive geometry for entrance examination
- Courses of lifelong learning

**Equipment:**

- Computer classroom.
- Software: Matlab, Unistat, Statgraphics, Statistica, Maple, SPSS, ArcGIS

### Reference:

- Masarykova univerzita, Přírodovědecká fakulta, Ústav matematiky a statistiky (Brno)
- Universität Klagenfurt, Matematisches Institut (Rakousko)
- Kiev State University, Department Complex Systems Modeling (Ukrajina)
- Ukrajinská akademie věd, Institut matematiky, Kiev (Ukrajina)
- Politechnika Poznańska, Institut matematyki (Polsko)