study programme
Mathematical Engineering
Faculty: FMEAbbreviation: N-MAI-AAcad. year: 2025/2026
Type of study programme: Master's
Study programme code: N0541A170034
Degree awarded: Ing.
Language of instruction: English
Tuition Fees: 3000 EUR/academic year for EU students, 3000 EUR/academic year for non-EU students
Accreditation: 16.7.2020 - 16.7.2030
Profile of the programme
Academically oriented
Mode of study
Full-time study
Standard study length
2 years
Programme supervisor
Degree Programme Board
Chairman :
prof. RNDr. Josef Šlapal, CSc.
Councillor internal :
Mgr. Jana Hoderová, Ph.D.
doc. Ing. Radek Kalousek, Ph.D.
doc. RNDr. Miroslav Kureš, Ph.D.
doc. Mgr. Petr Vašík, Ph.D.
prof. Mgr. Pavel Řehák, Ph.D.
prof. RNDr. Jan Čermák, CSc.
prof. RNDr. Miloslav Druckmüller, CSc.
doc. Ing. Luděk Nechvátal, Ph.D.
Fields of education
Area | Topic | Share [%] |
---|---|---|
Mathematics | Without thematic area | 100 |
Study aims
The follow-up master's study programme Mathematical Engineering aims to equip graduates with knowledge of advanced mathematical disciplines with a focus on their applications in various fields, but especially in fields of a technical nature. The emphasis is placed on the use of modern computer technology in solving problems using effective methods of applied mathematics, so the programme includes the necessary subjects in the field of informatics. There is also English at an advanced level.
Students of the master's programme will significantly deepen and expand the knowledge they have acquired by completing the bachelor's study programme of the same name. They will also develop their ability to be creative and solve complex problems of a mathematical nature. If they do not want to start their practice after graduation, but prefer to continue their studies, they can join the doctoral study programme in Applied Mathematics, which has had a long tradition at the Institute of Mathematics, FME. Of course, they can also continue their doctoral studies at another BUT department or at another university in the Czech Republic or abroad.
Graduate profile
Graduates of the program will be equipped with quality knowledge of advanced mathematics focused on their use in solving various problems, especially problems of technical practice. They will have a good overview of methods based on mathematical and numerical analysis, including differential equations, algebra, discrete mathematics, linear and differential geometry, probability and statistics, etc. They will also gain a thorough knowledge of modern computer science, so they become theoretically well-equipped experts who will be able to successfully solve various, especially engineering problems of a mathematical nature with the effective use of computer technology. They will have a good command of the English language and will be prepared for high-level development and innovation activities and research activities in various technical and other fields. They will gain the ability to create mathematical models of the studied processes and use their analysis to solve the problems. They will be able to work independently with relevant professional literature and apply the acquired knowledge to solve specific problems. They will have no problem designing or assessing a creative project, engaging in teamwork or presenting their results to the professional community.
The acquired education will provide graduates with easy employment on the labour market. Thanks to quality knowledge of applied mathematics and computer science, there will be great interest in them in a wide range of fields. They will find easy application especially in management positions in development teams of various engineering professions (mechanical engineering, electrical engineering, electronics, aerospace industry, etc.) and in software companies. The big advantage will be their good orientation in the most modern computer technologies and the ability of analytical thinking. Their broad mathematical education will enable them to apply not only in industrial practice, but also in many other areas, such as banking, government, business, etc. They will also be used in basic and especially applied research, they will also be well prepared for subsequent doctoral studies.
Professional knowledge:
The graduate will gain deep professional knowledge from the basic disciplines of mathematics and especially applied mathematics. They will master key concepts, results and procedures in key areas of mathematics, such as discrete mathematics and graph theory, mathematical logic, complex analysis, functional and numerical analysis, modern methods for solving differential equations, geometric algorithms and cryptography, mathematical methods of digital image processing, probability and statistics, variational calculation and optimization, financial mathematics, etc. They will gain quality knowledge of computer science and the use of computers to solve problems of a mathematical nature. They will be fluent in English at an advanced level.
Professional skills:
The graduate will be able to apply the acquired knowledge to solve problems of mathematical nature in various fields, especially in the field of engineering practice. They will have an overview of important connections between different branches of mathematics and will be able to apply these connections effectively. It will not be a problem for them to formulate and mathematically analyse more complex tasks in the field of natural, technical and other sciences and also to present their knowledge to the professional community. They will be able to create mathematical models of studied phenomena and use them to solve given problems. To do this, they will be able to effectively use modern computer technology. They will be able to work with professional literature, analyse the acquired knowledge and use it in their own creative activities.
General capabilities:
The graduate will be able to independently and appropriately decide on the most important procedures for solving problems, will be able to manage the work team, coordinate their activities and have responsibility for their work. They will be able to formulate the given problems in a comprehensible way and come up with an effective solution. In view of all the language skills, there will be no problem in cooperating with councillors from abroad. They will be ready to continue to study in the form of participation in board meetings, seminars and conferences, where they will be ready to present the results in a quality manner. Increasing all board capacity will also match the need for new practical challenges.
Profession characteristics
The Mathematical Engineering study programme offers graduates a wide range of employment options. In addition to the production sphere, the most important industrial branches include payments in experimental institutions, banking, education, the state sphere, etc. Their advantages are the knowledge of the methods of modern applied mathematics and computer science, as well as the ability to create mathematical models of the most serious problems, with the help of which these problems are effectively solved with the help of modern information technologies. In addition to the logical thinking obtained by the study of mathematics, the knowledge of graduates in the field of basic technical disciplines, which further increase the interest of the industrial companies in these graduates, is the additional value. Graduates of the Mathematical Engineering study programme do not have any problems to find place on the job market, but have the opportunity to choose from many offers.
Fulfilment criteria
See applicable regulations, DEAN’S GUIDELINE Rules for the organization of studies at FME (supplement to BUT Study and Examination Rules).
The final state examination consists of a defence of the bachelor thesis and a discussion of the thesis topics. Both parts of the state final exam are held on the same date before the Commission for State Examinations. The state examination may be taken by a student who obtained the required credits in prescribed composition and submitted Bachelor’s thesis within a set deadline. The contents and structure of the final state examination shall be determined by the programme. The rules for organisation and course of the final state examinations are determined by internal standards of BUT and FME.
Study plan creation
The rules and conditions of study programmes are determined by:
BUT STUDY AND EXAMINATION RULES,
BUT STUDY PROGRAMME STANDARDS,
STUDY AND EXAMINATION RULES of Brno University of Technology (USING "ECTS"),
DEAN’S GUIDELINE Rules for the organization of studies at FME (supplement to BUT Study and Examination Rules).
Availability for the disabled
Brno University of Technology acknowledges the need for equal access to higher education. There is no direct or indirect discrimination during the admission procedure or the study period. Students with specific educational needs (learning disabilities, physical and sensory handicap, chronic somatic diseases, autism spectrum disorders, impaired communication abilities, mental illness) can find help and counselling at Lifelong Learning Institute of Brno University of Technology. This issue is dealt with in detail in Rector's Guideline No. 11/2017 "Applicants and Students with Specific Needs at BUT". Furthermore, in Rector's Guideline No 71/2017 "Accommodation and Social Scholarship" students can find information on a system of social scholarships.
What degree programme types may have preceded
TThe study programme narrowly refers to the bachelor study programme in Mathematical Engineering, which is also accredited (and studied) at the Faculty of Mechanical Engineering, BUT. Graduates of the programme can also continue their studies at the faculty of the accredited doctoral study programme in Applied Mathematics.
Course structure diagram with ECTS credits
Abbreviation | Title | L. | Cr. | Com. | Compl. | Hr. range | Gr. | Op. |
---|---|---|---|---|---|---|---|---|
VAI-A | Artificial Intelligence Algorithms | en | 4 | Compulsory | Cr,Ex | P - 26 / CPP - 26 | yes | |
SU2-A | Functional Analysis II | en | 4 | Compulsory | Cr,Ex | P - 26 / C1 - 13 | yes | |
SGA-A | Graphs and Algorithms | en | 4 | Compulsory | Cr,Ex | P - 26 / C1 - 13 | yes | |
SN3-A | Numerical Methods III | en | 5 | Compulsory | GCr | P - 26 / CPP - 13 | yes | |
SO2-A | Optimization Models II | en | 4 | Compulsory | Cr,Ex | P - 26 / CPP - 13 | yes | |
SP3-A | Probability and Statistics III | en | 4 | Compulsory | GCr | P - 26 / CPP - 13 | yes | |
0PPS-A | Industrial Project (N-MAI) | en | 2 | Compulsory | Cr | PX - 120 | yes | |
S1M-A | Calculus of Variations | en | 4 | Compulsory | GCr | P - 26 / C1 - 13 | yes | |
1CK | Czech Language - Conversation 1 | en | 4 | Elective | Cr,Ex | Cj - 26 | yes | |
S2M-A | Stochastic Modelling | en | 3 | Elective | GCr | C1 - 26 | yes |
Abbreviation | Title | L. | Cr. | Com. | Compl. | Hr. range | Gr. | Op. |
---|---|---|---|---|---|---|---|---|
SKF-A | Complex Variable Functions | en | 6 | Compulsory | Cr,Ex | P - 39 / C1 - 26 | yes | |
SML-A | Mathematical Logic | en | 5 | Compulsory | Cr,Ex | P - 26 / C1 - 26 | yes | |
TNM-A | Numerical Methods of Image Analysis | en | 5 | Compulsory | GCr | P - 26 / CPP - 26 | yes | |
SSP-A | Stochastic Processes | en | 5 | Compulsory | Cr,Ex | P - 26 / CPP - 13 | yes | |
SOR-A | Fundamentals of Optimal Control Theory | en | 5 | Compulsory | Cr,Ex | P - 26 / C1 - 13 | yes | |
SPJ-A | Programming Language Java | en | 4 | Compulsory-optional | GCr | P - 13 / CPP - 26 | Type B Group No. 1 | yes |
SR0-A | Reconstruction and Analysis of 3D Scenes | en | 4 | Compulsory-optional | GCr | P - 13 / CPP - 26 | Type B Group No. 1 | yes |
Abbreviation | Title | L. | Cr. | Com. | Compl. | Hr. range | Gr. | Op. |
---|---|---|---|---|---|---|---|---|
SD3-A | Diploma Project I (N-MAI) | en | 4 | Compulsory | Cr | VD - 65 | yes | |
SFI-A | Financial Mathematics | en | 4 | Compulsory | GCr | P - 26 / CPP - 13 | yes | |
SFM-A | Fuzzy Sets and Applications | en | 5 | Compulsory | Cr,Ex | P - 26 / CPP - 26 | yes | |
SMM-A | Mathematical Methods in Fluid Dynamics | en | 4 | Compulsory | Cr,Ex | P - 26 / CPP - 13 | yes | |
SRM-A | Ordinary Differential Equations in Mechanics | en | 6 | Compulsory | Cr,Ex | P - 39 / C1 - 13 | yes | |
SSZ-A | Diploma Seminar I (M-MAI) | en | 2 | Compulsory | Cr | C1 - 13 | yes | |
SSJ-A | Reliability and Quality | en | 4 | Compulsory-optional | Cr,Ex | P - 26 / CPP - 13 | Type B Group No. 2 | yes |
0TH-A | Introduction to Game Theory | en | 4 | Compulsory-optional | Cr,Ex | P - 26 / C1 - 13 | Type B Group No. 2 | yes |
S1K-A | Continuum Mechanics | en | 4 | Elective | Cr,Ex | P - 39 / C1 - 39 | yes |
Abbreviation | Title | L. | Cr. | Com. | Compl. | Hr. range | Gr. | Op. |
---|---|---|---|---|---|---|---|---|
TAI-A | Analysis of Engineering Experiment | en | 5 | Compulsory | Cr,Ex | P - 26 / CPP - 13 | yes | |
SD4-A | Diploma Project II (M-MAI) | en | 6 | Compulsory | Cr | VD - 91 | yes | |
SSR-A | Mathematical Structures | en | 4 | Compulsory | Ex | P - 26 | yes | |
SDR-A | Advanced Methods in Mathematical Analysis | en | 5 | Compulsory | Cr,Ex | P - 26 / C1 - 26 | yes | |
SDS-A | Diploma Seminar II (M-MAI) | en | 3 | Compulsory | Cr | C1 - 26 | yes | |
SVD-A | Data Visualisation | en | 5 | Compulsory | GCr | P - 13 / CPP - 26 | yes | |
VTR-A | Algebraic Theory of Control | en | 3 | Compulsory-optional | GCr | P - 26 | Type B Group No. 3 | yes |
SAV-A | Geometrical Algorithms and Cryptography | en | 3 | Compulsory-optional | Ex | P - 26 | Type B Group No. 3 | yes |
S3M-A | Mathematical Seminar | en | 2 | Elective | Cr | C1 - 26 | yes |
All the groups of optional courses | ||
---|---|---|
Gr. | Number of courses | Courses |
Type B Group No. 1 | 1 | SPJ-A, SR0-A |
Type B Group No. 2 | 1 | SSJ-A, 0TH-A |
Type B Group No. 3 | 1 | VTR-A, SAV-A |