study programme
Applied and Interdisciplinary Mathematics
Faculty: FMEAbbreviation: N-AIM-AAcad. year: 2023/2024
Type of study programme: Master's
Study programme code: N0541A170037
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: 16.7.2021 - 16.7.2031
Profile of the programme
Academically oriented
Mode of study
Full-time study
Standard study length
2 years
Programme supervisor
Degree Programme Board
Chairman :
doc. Ing. Luděk Nechvátal, Ph.D.
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.
prof. RNDr. Josef Šlapal, CSc.
Fields of education
Area | Topic | Share [%] |
---|---|---|
Mathematics | Without thematic area | 100 |
Study aims
The follow-up master's degree programme Applied and Interdisciplinary Mathematics is an international Double Degree programme which 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. 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. Thanks to the international dimension of the study, the graduates will acquire knowledge of the English language at such a level that they will be able to apply themselves without problems even in companies where English is commonly spoken.
Students of the master's programme will significantly deepen and expand the knowledge they have acquired by completing a bachelor's degree programme in mathematics and technology. 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 internship after graduation, but prefer to continue their studies, they can enter, for example, the doctoral study programme Applied Mathematics, which has 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
After their successful study of the programme’s 1st year at the University of L’Aquila and its 2nd year at BUT in Brno, the graduates 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 in-depth knowledge of modern computer science, so they become theoretically well-equipped experts who they will be able to successfully solve various, especially engineering problems of 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 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 in the labour market. Thanks to good knowledge of applied mathematics and computer science, there will be great interest in them in a wide range of fields. They 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 latest 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, public administration, business, etc. They will also apply in basic and especially applied research, they will also be well prepared for subsequent doctoral studies.
Professional knowledge:
The graduate demonstrates a broad and deep knowledge of mathematical disciplines that correspond to the current state of knowledge. It also demonstrates an understanding and possibilities of using applied mathematics not only in related technical fields. They will master key concepts, results and procedures in key areas of mathematics, such as modern methods for solving differential equations, analysis and design of control systems, control theory, functional analysis, dynamical systems, complex analysis, stochastic processes, discrete and continuous mechanics, financial mathematics , fuzzy sets and their applications, graph theory and their applications, mathematical methods in flow theory, control theory, Fourier analysis, mathematical logic, mathematical structures and more. They will gain quality knowledge of computer science and the use of computers to solve problems of a mathematical nature. Due to the fact that the teaching takes place in English, the graduate will also acquire decent language skills.
Professional skills:
The graduate will be able to independently 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 the important connections between the various branches of mathematics and will be able to apply these connections effectively and creatively. They will have no problem formulating and mathematically analysing more complex tasks in the field of natural, technical and other sciences, as well as presenting his knowledge to the professional community. They will be able to create mathematical models of the studied phenomena and use them to solve given problems. To do this, he 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 competences:
The graduate will be able to make independent and responsible decisions about various problem-solving procedures, will be able to manage a work team, coordinate its activities and take responsibility for its results. They will be able to formulate the assigned problems in a comprehensible way and propose effective solutions. Due to their language skills, they will have no problem cooperating with experts from abroad. They will be ready to continue their education by self-study, in the form of participation in professional lectures, seminars and conferences, where they will be ready to present their results. They will also increase their professional competence by gaining new practical experience.
Profession characteristics
The Applied and Interdisciplinary Mathematics study programme provides graduates with a wide range of employment opportunities. In addition to the manufacturing sector in various industries, they find employment in research institutions, banking, education, government, etc. Their advantages are knowledge of modern applied mathematics and computer science, so they have the ability to create mathematical models of various problems, by which they then effectively solve these problems with the help of modern information technologies. In addition to the logical thinking gained through the study of mathematics, the added value of graduates is their knowledge of basic technical disciplines, which further increase the interest in these graduates from industrial companies. Graduates of the Applied and Interdisciplinary Mathematics study programme have no difficulty finding employment in the labour market; on the contrary, they 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) and the study rules at the University of L’Aquila.
The final state examination consists of a defence of the master 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 Master’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. After successfully passing the state final exam conducted before an examination committee consisting of representants of both the University of L’Aquila and BUT in Brno, the graduates will obtain diploma from both universities.
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
The study programme is closely related to the bachelor's study programme Mathematical Engineering, or Mathematical Engineering, which are accredited at the Faculty of Mechanical Engineering, the Brno University of Technology. The study of the Applied and Interdisciplinary Mathematics programme is also suitable for students from universities that have bachelor's programmes focused on mathematical modelling, mathematics and financial studies, mathematics and its applications, professional mathematics and more. Graduates of the program can continue their studies in the accredited doctoral study programme Applied Mathematics at FME. Thanks to a quality education in the English language, however, they have the prerequisites for a doctoral education anywhere in the world.
Course structure diagram with ECTS credits
Abbreviation | Title | L. | Cr. | Com. | Compl. | Hr. range | Gr. | Op. |
---|---|---|---|---|---|---|---|---|
8C27 | Applied Partial Differential Equations and Fluid Dynamics | en | 6 | Compulsory | Cr,Ex | P - 39 / C1 - 26 | yes | |
8DIT | Control Systems | en | 6 | Compulsory | Cr,Ex | P - 39 / C1 - 26 | yes | |
8DI9 | Dynamical Systems and Bifurcation Theory | en | 6 | Compulsory | Cr,Ex | P - 39 / C1 - 26 | yes | |
8DI8 | Functional Analysis in Applied Mathematics and Engineering | en | 9 | Compulsory | Cr,Ex | P - 65 / C1 - 26 | yes | |
8DI6 | Italian Language and Culture for foreigners (level A1) | en | 3 | Compulsory | Ex | P - 26 / Cj - 13 | yes | |
8EU2 | Optimisation Models and Algorithms | en | 6 | Elective | Cr,Ex | P - 39 / C1 - 26 | yes | |
8EEA | Workshop of mathematical modelling | en | 6 | Elective | Cr,Ex | P - 39 / C1 - 26 | yes |
Abbreviation | Title | L. | Cr. | Com. | Compl. | Hr. range | Gr. | Op. |
---|---|---|---|---|---|---|---|---|
8BK1 | Complex Analysis | en | 6 | Compulsory | Cr,Ex | P - 39 / C1 - 26 | yes | |
8ETK | Discrete and Continuum Mechanics with Applications | en | 9 | Compulsory | Cr,Ex | P - 65 / C1 - 26 | yes | |
8EJX | Italian Language and Culture for Foreigners (level A2) | it | 3 | Compulsory | Ex | P - 26 / Cj - 13 | yes | |
8C3L | Stochastic Processes | en | 6 | Compulsory | Cr,Ex | P - 39 / C1 - 26 | yes | |
8DJB | Combinatorics and Cryptography | en | 6 | Compulsory-optional | Cr,Ex | P - 39 / C1 - 26 | 1 type A | yes |
8ESZ | Parallel computing | en | 6 | Compulsory-optional | Cr,Ex | P - 39 / C1 - 13 / CPP - 26 | 1 type A | yes |
8DIO | Data analytics and Data mining | en | 6 | Elective | Cr,Ex | P - 39 / C1 - 26 | yes | |
8EU3 | Stochastic Modelling and Simulations | en | 6 | Elective | Cr,Ex | P - 39 / C1 - 26 | yes |
Abbreviation | Title | L. | Cr. | Com. | Compl. | Hr. range | Gr. | Op. |
---|---|---|---|---|---|---|---|---|
SD5-A | Diploma Project I (N-AIM-A) | en | 3 | Compulsory | Cr | VD - 65 | yes | |
SDP-A | Diploma Seminar I (N-AIM-A) | en | 2 | Compulsory | Cr | C1 - 13 | yes | |
SFI-A | Financial Mathematics | en | 4 | Compulsory | GCr | P - 26 / CPP - 13 | yes | |
SU2-A | Functional Analysis II | en | 4 | Compulsory | Cr,Ex | P - 26 / C1 - 13 | yes | |
SGA-A | Graphs and Algorithms | en | 5 | Compulsory | Cr,Ex | P - 26 / C1 - 13 | yes | |
SMM-A | Mathematical Methods in Fluid Dynamics | en | 4 | Compulsory | Cr,Ex | P - 26 / CPP - 13 | yes | |
SOR-A | Fundamentals of Optimal Control Theory | en | 4 | Compulsory | Cr,Ex | P - 26 / C1 - 13 | yes | |
SO2-A | Optimization II | en | 4 | Compulsory-optional | Cr,Ex | P - 26 / CPP - 13 | 2 type B | yes |
0TH-A | Introduction to Game Theory | en | 4 | Compulsory-optional | Cr,Ex | P - 26 / C1 - 13 | 2 type B | yes |
1CK | Czech Language - Conversation 1 | en | 4 | Elective | Cr,Ex | Cj - 26 | yes | |
S1K-A | Continuum Mechanics | en | 4 | Elective | Cr,Ex | P - 39 / C1 - 39 | yes | |
SSJ-A | Reliability and Quality | en | 4 | Elective | Cr,Ex | P - 26 / CPP - 13 | yes |
Abbreviation | Title | L. | Cr. | Com. | Compl. | Hr. range | Gr. | Op. |
---|---|---|---|---|---|---|---|---|
SD6-A | Diploma Project II (N-AIM-A) | en | 6 | Compulsory | Cr | VD - 91 | yes | |
SDQ-A | Diploma Seminar II (N-AIM-A) | en | 2 | Compulsory | Cr | C1 - 26 | yes | |
SFA-A | Fourier Analysis | en | 4 | Compulsory | GCr | P - 26 / C1 - 13 | yes | |
SML-A | Mathematical Logic | en | 5 | Compulsory | Cr,Ex | P - 26 / C1 - 26 | yes | |
SSR-A | Mathematical Structures | en | 4 | Compulsory | GCr | P - 26 | yes | |
SDR-A | Modern Methods of Solving Differential Equations | en | 5 | Compulsory | Cr,Ex | P - 26 / C1 - 26 | yes | |
TNM-A | Numerical Methods of Image Analysis | en | 4 | Compulsory-optional | Cr,Ex | P - 26 / CPP - 26 | 3 - type A | yes |
S1M-A | Calculus of Variations | en | 4 | Compulsory-optional | GCr | P - 26 / C1 - 13 | 3 - type A | yes |
VTR-A | Algebraic Theory of Control | en | 3 | Elective | GCr | P - 26 | yes | |
SAV-A | Geometrical Algorithms and Cryptography | en | 3 | Elective | Ex | P - 26 | yes | |
S3M-A | Mathematical Seminar | en | 2 | Elective | Cr | C1 - 26 | no | |
SR0-A | Reconstruction and Analysis of 3D Scenes | en | 4 | Elective | GCr | P - 13 / CPP - 26 | yes |
All the groups of optional courses | ||
---|---|---|
Gr. | Number of courses | Courses |
1 type A | 1 | 8DJB, 8ESZ |
2 type B | 1 | SO2-A, 0TH-A |
3 - type A | 1 | TNM-A, S1M-A |