InstituteofMathematics
The institute offers the Faculty of Mechanical Engeneering students the following basic courses in mathematics: linear algebra, analytic geometry, calculus, numerical methods, constructive geometry and computer graphics, differential equations, infinite series, probability and mathematical statistics. Further mathematical courses, especially those of applied nature, are included in Master's and Doctor's degree programmes of individual specialisations.
Next the institute offers a Mathematical Engineering study designed to equip the graduates with a more profound theoretical engineering background in mathematics, programming, and state-of-the-art mathematical software.
Research conducted at the institute focuses on applied mathematical analysis (finite element method, numerical solutions of differential equations), applied algebra and discrete mathematics, differential geometry and its applications, optimisation of engineering processes, mathematical modelling of forming processes, and digital image processing.
A number of staff members are in research teams at other faculty and university departments. The Institute co-operates with other Czech universities (Masaryk University Brno, Charles University in Prague) as well as with other non-university institutions such as the Dukovany Nuclear Power Plant. A wealth of cooperation is going on with universities abroad (Texas University of Austin, L'Aquila University (Italy), Technische Universität Hamburg, Universytet Jagiellonski (Krakow), University of Malta, Technische Universität Wien, Universität Potsdam, etc.)
The Institute staff members are involved in numerous research activities as testified by a large number of papers frequently published in renowned mathematical journals abroad and regular participation in international scientific conferences. Most of the staff work on research projects that receive funding from grants (mostly from the Grant Agency of the Czech Republic or the Ministry of Education as research designs) some of the staff members are even team leaders.
The Mathematical Engineering Doctor's degree programme at the Institute is based on the specialisations of the research conducted thus offering the doctoral students courses in applied mathematical analysis, statistics, and fuzzy mathematics, optimisation methods, and computer graphics.
- Dept. of Algebra and Discrete Mathematics
- Dept. of Computer Graphics and Geometry
- Dept. of Mathematical Analysis
- Dept. of Statistics and Optimization
Main Current Projects
- Advanced Mathematical Methods for Solving Engineering Problems
- System for predictive flow optimization in community energy
- CaLISTA - Cartan geometry, Lie, Integrable Systems, quantum group Theories for Applications
Main Results
- CME-induced Thermodynamic Changes in the Corona as Inferred from Fe xi and Fe xiv Emission Observations during the 2017 August 21 Total Solar Eclipse
- Identifying the Coronal Source Regions of Solar Wind Streams from Total Solar Eclipse Observations and in situ Measurements Extending over a Solar Cycle
- Superlinear solutions of sublinear fractional differential equations and regular variation
- A novel geometric method based on conformal geometric algebra applied to the resection problem in two and three dimensions
- On stability of linear differential equations with commensurate delayed arguments
Research Activities
News from Institute
Solar Eclipse Expedition 2026: Where Is Our Suitcase?
Without a NASA Aircraft and Some US Funding: FME Mathematicians Set Off to Observe a Total Solar Eclipse
SIGMA CAST offers mathematics for the ears
In addition to the AI podcast, a mathematical chatbot is also in the works.
University Sports Day: mathematicians won the faculty tournament
The Faculty of Mechanical Engineering organized an exceptional sports competition as part of the University Sports Day.
Technology challenge accepted! Our teams succeeded at the RoboVision Hackathon 2025
This 24-hour competition focused on robotics and machine vision took place on 13-14 March at ABB Mošnov.
Meeting at BUT commemorated 100 years since the birth of mathematician Miloš Zlámal
The event highlighted the international significance and main contributions of the founder of the mathematical theory of the Finite Element Method.
This year's MATHING was won by high school students from Bratislava
Bratislava's Grösslingová Gymnasium can proudly present itself as the most successful team of this year's MATHING Internet mathematics competition.
Unlocking the Mysteries of the Sun: An Interview with Prof. Shadia Habbal
She discusses the human side of scientific expeditions, the evolution of solar research, and the enduring mysteries of our host star.
Everyone has experienced the feeling of getting lost in a topic, explains tutor Tomáš
In the second semester, FME offers Repetitoria to its students, especially from the 1st and 2nd year of bachelor's studies. These are refresher lessons led by senior students in an informal…
Miloslav Druckmüller and Michaela Hošková received the Prize of the Minister of Education
Two exceptional personalities from FME were awarded by the Minister of Education Mikuláš Bek on 19 November during a gala evening.
Miloslav Druckmüller introduces himself as an adventurer and nature photographer
The student photography club Technika Brno has prepared a series of three lectures entitled "Through the Southern Ocean to Antarctica".
Even a NASA plane was used by the researchers to observe the solar eclipse over the USA
The results of the fifteenth solar eclipse expedition were presented by experts from the Faculty of Mechanical Engineering BUT.
Mathematician Druckmüller receives the highest award of the Czech Astronomical Society
Miloslav Druckmüller was awarded for his world-renowned results in the mathematical processing of solar eclipse images.
Images the world has never seen before. Scientists have obtained unique images of the solar corona.
This phenomenon took place on April 20, 2023 over the west coast of Australia.
Routing software makes freight transport more efficient
Which way to send a truck to make its journey as fast and cheap as possible? The work of logistics company dispatchers will now be facilitated by advanced tracing software.
Young scientists want to use Cubesat to photograph the solar eclipse from the space
The work of young scientists would thus nicely complement the activities of mathematician Miloslav Druckmüller, known for his unique images of the solar corona.
News in solar wind research attracted the attention of a prestigious astronomical magazine and NASA
From the sand dunes in the Sahara Desert to the freezing Svalbard, an international team of researchers from the University of Hawaii and the Faculty of Mechanical Engineering of the Brno University…
The solar corona by Professor Druckmüller chosen as NASA Astronomy Picture of the Day
The image of the solar corona, which was seen during last year's total solar eclipse over South America, is today's NASA Astronomy Picture of the Day (APOD).
FME professor’s image of comet named photo of the day by NASA
NASA published an image of the Neowise comet as its photo of the day on Saturday. The picture was taken by Czech photographer and mathematician Miloslav Druckmüller who is a professor at the Faculty…