study programme

Water Management and Water Structures

Original title in Czech: Vodní hospodářství a vodní stavbyFaculty: FCEAbbreviation: DPC-VAcad. year: 2021/2022

Type of study programme: Doctoral

Study programme code: P0732D260020

Degree awarded: Ph.D.

Language of instruction: Czech

Accreditation: 8.10.2019 - 8.10.2029

Mode of study

Full-time study

Standard study length

4 years

Programme supervisor

Doctoral Board

Fields of education

Area Topic Share [%]
Civil Engineering Water Structures 100

Study aims

The aim of the doctoral study program Water Management and Water Structures is to provide outstanding graduates of the master's degree with specialized university education in selected and topical areas of the field. These currently include, with a view to maintaining sustainable living conditions, the solution of issues related primarily to the design, optimization, efficiency and quality of operation of existing and new water management systems, such as water management systems, water management structures on watercourses, drinking water supply systems. , waste water removal and treatment, protection of water resources and water quality in the basin, protection against floods etc.
The doctoral study program Water Management and Water Structures is a multidisciplinary program in which students acquire new knowledge in both natural sciences and applied sciences and is also targeted to acquire the necessary habits of students for independent scientific research and creative activities in research and development in solving current theoretical problems and questions arising from the requirements of practice. During the study the student gains both new theoretical knowledge and new own experience from preparation, realization and evaluation of necessary experiments (physical, numerical).
The dissertation thesis is focused on the evaluation of the current state of development of the solved problems in the Czech Republic and abroad, on the definition of the subject and methodology of the topic under development and especially on its own creative contribution. The aim of the study is also to involve students in the preparation and solution of national and international scientific research projects, presentation of achieved results at national and international scientific and professional conferences and their publication in professional and scientific foreign and domestic journals.

Graduate profile

Graduates of the doctoral degree program in Water Management and Water Structures will be able to complete scientific and creative activities independently and in teams at national and international level. and habits well applied in solving theoretical and practical tasks.
Graduates of this study program can be employed especially in research and development workplaces, in design organizations, in state administration bodies and they can also apply their acquired experience during teaching practice during their doctoral study programs in education or other educational institutions.
Completion of the doctoral study program is also a necessary precondition for its possible further career and professional academic growth. His knowledge of foreign languages ​​will enable him to study abroad as well.

Profession characteristics

The graduate of the newly designed doctoral study program Water Management and Water Structures is able to hold positions requiring a separate solution of technical technical problems in the field of water management. Graduates of doctoral studies are prepared for employment in research and development activities, enabling creative solutions to problems and development of new methods and approaches applicable to the solution of current water management problems and their application in the construction of water management structures. Doctoral studies are closely linked to scientific, research and development activities at the training site and to technical practice. Ongoing active scientific and pedagogical activity is a prerequisite for eventual employment of graduates as academic staff of universities. Graduates can also work in basic and applied research, at university workplaces, in institutes of the ASCR, in research and technology centers in the Czech Republic and abroad. They also find work in research workplaces and laboratories of water management and water structures and the environment, or they can hold higher management positions in design, implementation and administration companies, public administration or other similar technical level. The general applicability in practice is practically 100%. It is expected that the applicability of graduates of the newly designed doctoral study program will be similar.

Fulfilment criteria

Fulfillment of the subjects of the individual study plan, successful completion of the state doctoral examination, foreign experience, relevant creative activity and successful defense of the dissertation.

Study plan creation

The rules and conditions for the creation of study plans of study programs carried out at the Faculty of Civil Engineering of the BUT define:
Rules of BUT study programs (www.vutbr.cz/uredni-deska/vnitrni-predpisy-a-dokumenty), which according to Article 1, paragraph 1, point:
c) defines the processes of creation, approval and changes of study program proposals before their submission for accreditation to the National Accreditation Office for Higher Education,
d) lays down the formal requirements for study programs and courses,
e) defines the obligations of study program and subject guarantors,
f) defines the standards of study programs at BUT,
g) defines the principles of quality assurance of study programs.
Study and Examination Regulations of the Brno University of Technology (www.vutbr.cz/uredni-deska/international-details-and-documents)
Details of the conditions for study at the Faculty of Civil Engineering of the BUT are governed by the Dean's Directive )
The PhD student studies according to an individual study plan, which is elaborated by the supervisor in cooperation with the PhD student. The individual study plan is binding for the doctoral student. It specifies all duties set in accordance with the BUT Study and Examination Regulations that a doctoral student must fulfill in order to successfully complete his / her studies.
During the first three semesters, the doctoral student consists of compulsory, compulsorily elective or at the same time, it is intensively engaged in its own study and analysis of knowledge in the field determined by the topic of the dissertation and continuous publication of the knowledge and results obtained in this way. In the following semesters, the doctoral student focuses more on research and development related to the topic of the dissertation, on the publication of the results of his / her creative work and on his / her own dissertation. By the end of the fifth semester, the doctoral student has passed the state doctoral examination. The doctoral student is also involved in pedagogical activities, which is a part of his scientific preparation.
The individual study plan includes scientific outputs in individual years:
- regular publishing activity (Juniorstav and similar),
- participation in scientific conferences at home and abroad,
- for defense of DZP it is necessary to publish - min. 2x Scopus or 1x WOS with impact factor.

Availability for the disabled

At the Faculty of Civil Engineering, BUT, barrier-free access to all teaching rooms is currently provided. However, students must be physically fit to be qualified as a civil engineer. In practically oriented laboratory teaching, they must be able to operate measuring instruments and similar laboratory equipment independently without endangering themselves or their surroundings.
BUT provides support to students with specific needs, for details see Guideline 11/2017 (www.vutbr.cz/uredni-deska/international-documents-and-documents/-d141841/uplne-zneni-smernice-c-11- 2017-p147550).
In order to promote equal access to higher education, BUT incorporates the Alfons Advisory Center, part of the BUT Institute of Lifelong Learning, to provide guidance and support services to applicants and students with specific educational needs. Specific educational needs include learning disabilities, physical and sensory disabilities, chronic somatic illness, autistic spectrum disorders, impaired communication skills and mental illness (alfons.vutbr.cz/o-nas).
Students are provided with information concerning the accessibility of study programs with respect to the specific needs of the applicant, information about the architectural accessibility of individual faculties and university parts, about accommodation at the BUT dormitory, about the possibilities of adapting the admission procedure and adapting the study itself. Other services of the Center for Students with Special Educational Needs also include interpreting and rewriting services, or assistance services - guiding, spatial orientation, in order to enable these students to demonstrate their skills and knowledge in the same way as other students. This is done through the so-called adaptation of study, ie by appropriate adjustment of the study regime, which cannot be understood as a simplification of the content of study or relief of study obligations.

What degree programme types may have preceded

The doctoral study program Water Management and Water Structures is a follow-up to the follow-up Master study program Civil Engineering, especially the study field Water Management and Water Structures, respectively. as well as other fields of study and nursing master's degree programs. After accreditation of the follow-up master's study program Civil Engineering - Water Management and Water Structures for this program.

Issued topics of Doctoral Study Program

2. round (applications submitted from 05.10.2021 to 15.12.2021)

  1. Calibration and verification of the precipitation-runoff model of the sewer network

    The aim of the dissertation will be to solve the problem of calibration and verification of the precipitation-runoff model of the sewer network and to apply the acquired knowledge to the existing hydraulic models SWMM, or MIKE URBAN. The PhD student will perform the sensitivity effects of inaccurate input data (rain data, hydraulic data from in-situ measurements) on selected hydraulic parameters of the sewer network.

    Tutor: Raclavský Jaroslav, doc. Ing., Ph.D.

  2. Decentralized wastewater collection and treatment for rural areas.

    Cílem práce je vývoj nových technických i netechnických opatření při odvádění a čištění odpadních vod v urbanizovaných územích. Práce bude zaměřena jednak na problematiku odvodnění na jednotlivých nemovitostech, tak i ve veřejné části městského odvodnění. Práce bude zpracována v návaznosti na řešené projekty související s touto problematikou.

    Tutor: Hlavínek Petr, prof. Ing., CSc., MBA

  3. Definition of New Reservoir Yield Performances

    To assess the reservoir yield performance the definition of reliability is used in the Czech Republic. Worldwide the new concepts of assessing the reservoir yield performance, such as risk, resiliance, vulnerability, have been defined over the past decade. The aim of this thesis will be to carry out an extensive state of art and application of these knowledge on a selected water reservoir. On the basis of obtained information also derive a new kind reservoir yield performance metric.

    Tutor: Marton Daniel, doc. Ing., Ph.D.

  4. Detection, processes of spreading and removal of dangerous substances in water supply networks in emergency situations

    The aim of the PhD thesis will be, on the basis of delimitation and definition of water security of the Czech Republic, to define methods of on-line analysis of drinking water quality, to model and analyze the speed of contamination spreading in water supply networks, to define for individual pipeline materials and pipeline contaminants the risk of long-term contamination and to determine principles of security and protection of drinking water supplies.

    Tutor: Raclavský Jaroslav, doc. Ing., Ph.D.

  5. Elimination of odors on the sewer network

    The dissertation thesis will be focused on the problem of odor on the sewerage network, which arises mainly in the trasnsfer stations of the sewerage system at the end of the pressurized sewers lines. The aim of the work is to develop a proposal for technical procedures and recommendations for the elimination of losses on the sewer, which will be used for sewer operators and WWTPs. The work will demonstrate testing of various measures (chemicals, aeration and other technical measures) to eliminate pain in selected localities. The dissertation thesis will be solved in cooperation with Vodárenská akciová společnost, a.s.

    Tutor: Hluštík Petr, doc. Ing., Ph.D.

  6. Elimination of sulfane in sewer networks

    Sewer networks built from concrete / reinforced concrete are endangered by the action of sulfane, at the same time the sulfane smells very strongly. There are several technologies on the market that address this issue. Currently, in the detection of sulfane in sewers, instruments are used that measure the concentration of gas in the air, which, however, does not detect the values of dissolved sulfane in wastewater. When eliminating sulfane, it is necessary to determine the concentration found in the wastewater and on this basis to propose measures. The dissertation will focus on optimizing the dosage of selected chemicals based on measured values of sulfane in wastewater.

    Tutor: Raclavský Jaroslav, doc. Ing., Ph.D.

  7. Erosion processes and possibilities of their elimination by a system of nature-friendly measures in small watersheds

    At selected localities (small catchment areas) with the implemented system of Infiltration conservation belts and agroforestry measures, their influence on the reduction of erosion disturbances and the transport of sediments will be monitored. Erodometers as well as unmanned UAVs systems will be used to measure erosion processes. Alternatively, the effectiveness of the measures will also be assessed using physical models. The measured values ??will be statistically evaluated in the context of all causal factors.

    Tutor: Dumbrovský Miroslav, prof. Ing., CSc.

  8. Failure of embankment dams due to overtopping - domino effect

    The aim of the thesis is to propose and validate a methodology for solving the problem of failure of embankment dams due to overtopping. The proposed methodology will include an evaluation of dams in the system of water works, eventually additional cross section structures (e.g. road embankments), in the catchment area and the proposal to minimize the probability of domino effect.

    Tutor: Jandora Jan, prof. Ing., Ph.D.

  9. Formation and development of erosion rills during the occurrence of heavy precipitation

    At selected locations of loess and Cambisol soils will be monitored by the formation and development of erosion rills. Measurement and evaluation of shape and volume changes of erosion rills will run after each erosion efficient heavy precipitation. Erodometers as well as unmanned UAVs systems will be used to measure erosion processes.The measured values will be statistically evaluated in the context of all causal factors.

    Tutor: Dumbrovský Miroslav, prof. Ing., CSc.

  10. Hydrotechnical design of inundation bridges

    Inundation bridges have the primary purpose of transferring water through a line structure that prevents flow in the inundation area. They are specific in that they are in function only during floods. In their hydrotechnical design, it is necessary to consider not only the hydraulically suitable shaping of pillars, abutments, or bridge decks, but also the design of a suitable bridge-scour countermeasures and the design of a suitable measures against clogging by floating debris. The aim of the work is to develop a methodology for hydrotechnical design of inundation bridges.

    Tutor: Zachoval Zbyněk, doc. Ing., Ph.D.

  11. Impact of non-stationary processes on hydrological time series

    Climate change gradually affects the Czech Republic. The question remains, whether this change is step or gradual change. The aim of the PhD thessis will be using analysis of non-stacionary processes identify and describe the temporal variability of hydrological processes and on this basis estimated the flow time series in the future.

    Tutor: Marton Daniel, doc. Ing., Ph.D.

  12. Influence of leakage of sewer systems on their hydraulic modeling

    The aim of the dissertation thesis will be to solve the problem of leakage of sewer networks in joints, resp. in the event of breakdowns and to apply the acquired knowledge to existing hydraulic models SWMM, event. MIKE URBAN. The PhD student will simulate various states (values) of infiltration and exfiltration in relation to the evaluation of the technical condition of the sewer network and perform a sensitivity analysis of their influence on selected hydraulic parameters of the sewer network.

    Tutor: Raclavský Jaroslav, doc. Ing., Ph.D.

  13. Low flow sediment movement in the water supply system

    The dissertation will evaluate the processes of formation, accumulation and movement of sediments in the water supply network in case studies of real water systems, depending on the quality of transported water, hydraulic regime of the water network, material of mains, network maintenance, failures and repairs and other factors. Simulation models of water networks will be used for the analysis. Generally valid conclusions will be formulated.

    Tutor: Ručka Jan, Ing., Ph.D.

  14. Multi-stage natural treatment plants

    The topic of natural wastewater treatment plants is a topical one, as it has made significant progress in the last decade. Multi-stage arrangements and practical implementations are gradually emerging, but it appears that these solutions are not satisfactorily operated. The problem lies in the fact that no one in the country has any idea how to operate multi-stage systems in such a way that they show reliable results in the long term. The topic should focus on monitoring, observing and evaluating the performance of the latest natural treatment plants, optimising the operating conditions and, most importantly, disseminating the knowledge into practice.

    Tutor: Kriška-Dunajský Michal, doc. Ing., Ph.D.

  15. Natural treatment plants for industrial wastewater

    The topic of natural wastewater treatment plants has already well grasped ordinary sewage water, and very promising results are being achieved in this area. Based on the requirement from practice, it is necessary to similarly address industrial wastewater - water from industrial wine production, dairy industry, brewing, chemical companies, etc. The topic would focus on model-created filtration units that would be tested directly on real industrial wastewater.

    Tutor: Kriška-Dunajský Michal, doc. Ing., Ph.D.

  16. Objects for sediment transport thru weirs

    The objects for sediment transport thru weirs are designed to reduce the aggradation of their reservoirs and to ensure the continual transport of the sediments along the length of the river. They are named according to the size of the transported material (gravel, sand, etc.). They are most often located near the banks. They are only open when sediments are transported. The methodology for their design is missing. The aim of the work is to develop a methodology for hydrotechnical design of objects for sediment transport thru weirs.

    Tutor: Zachoval Zbyněk, doc. Ing., Ph.D.

  17. Optimization of design of vacuum sewer systems

    In the last 25 years, a vacuum sewer system has been gradually developed. In many cases, the system was inappropriately designed and undersized. The topic of the dissertation will be focused on optimizing the design of a vacuum station, a vacuum network and selected objects on the network. Part of the work will be in situ measurements on selected vacuum sewer networks.

    Tutor: Raclavský Jaroslav, doc. Ing., Ph.D.

  18. Recalibration intervals of flow measurement systems using weirs and flumes

    Measurement systems composed of weirs and flumes are often installed in specific geometric and current boundary conditions. Analysis of the problems of metrological confirmation is not available. At the same time zone of setting of deadlines recalibration of measurement systems in terms of regulations defined tolerance limits is for users of measuring systems from an economic and operational view cardinal.

    Tutor: Žoužela Michal, Ing., Ph.D.

  19. Solving crisis situations on sewers in the face of climate change

    The dissertation will focus on solving crisis situations in the sewerage and wastewater treatment plants in times of extreme weather (short-term and long-term climate change). Crisis management and development will be defined by tasks and measures in accordance with legal regulations and the most modern smart technologies available.

    Tutor: Hluštík Petr, doc. Ing., Ph.D.

  20. Treatment of municipal wastewater by anaerobic MBR technology.

    Goal of the thesis is development of technology of municipal wastewater by anaerobic process with aggregated biomass and sludge separation by means of submerged membrane module. Work will be focused on solution of problems connected with membrane clogging by operation, cleaning and process control.

    Tutor: Hlavínek Petr, prof. Ing., CSc., MBA

1. round (applications submitted from 09.06.2021 to 31.07.2021)

  1. Dam failures due to internal erosion in soils

    The aim is to analyse the possibility of dam failure due to internal erosion and to analyse individual internal erosion phases. Failure modes and places of their origin will be assessed together with the criteria used for the specification of internal erosion phases (initiation, continuation, progression, failure). During the solution uncertainties in input parameters will be assessed and the failure probability will be estimated. The student will be co-operating with the international working group searching appropriate software.

    Tutor: Říha Jaromír, prof. Ing., CSc.

  2. Decentralized wastewater collection and treatment for rural areas.

    Cílem práce je vývoj nových technických i netechnických opatření při odvádění a čištění odpadních vod v urbanizovaných územích. Práce bude zaměřena jednak na problematiku odvodnění na jednotlivých nemovitostech, tak i ve veřejné části městského odvodnění. Práce bude zpracována v návaznosti na řešené projekty související s touto problematikou.

    Tutor: Hlavínek Petr, prof. Ing., CSc., MBA

  3. Flow parameters measuring in object of hydro-mechanical works with laser anemometry

    Get experiences in branch of plane and point laser anemometry for realization experiments at flow range. Enlargement range of given methods. Auton. realization measur., evaluation of velocity fields and their comparison with numerical model results.

    Tutor: Zubík Pavel, Ing., Ph.D.

  4. Microplastics as a specific pollution of drinking water

    The presence of micro-plastics in natural and drinking water raises the discussion on the potential consequences to human health. The dissertation will deal with a critical search of studies carried out so far on this topic, focusing mainly on the occurrence and character of microplastics in raw and drinking water, as well as on methods for determining microplastics in water. The possible effects of these processes acting in water on the biological regime and chemical composition of water will be discussed, as well as the possible effects on human health. Laboratory tests will be performed in order to remove a selected group of microplastics from drinking water in order to recommend the most suitable technological procedure leading to their separation.

    Tutor: Kučera Tomáš, doc. Ing., Ph.D.

  5. Performance indicators for water filtration systems

    The subject of the work will deal with the performance of water filtration as a key process of water treatment. They will look for the relationship between flow, nature of contamination, length of filtration cycle and filtration in relation to the filter material used and the sieving system. The pressure losses on the filter will be monitored in relation to the quality of the filtrate, as well as the distribution of impurities in the filter. Most of the research will be performed on a model (laboratory) filtration device. The aim is to define performance indicators suitable for monitoring and evaluating the filtration process and to recommend favorable values of these indicators on the basis of proven research.

    Tutor: Kučera Tomáš, doc. Ing., Ph.D.

  6. Risk analysis of hydraulic structures

    The aim is to propose, elaborate and verify the method for the assessment of risks coming from the existence and operation of dams. Appropriate risk-based method and corresponding tools will be chosen, e.g. event trees for individual types of hydraulic structures, probabilistic assessment for the initiating events using the statistical methods, the assessment of the vulnerability of system components. New trends in design standards and existing dam categorization will be taken into account.

    Tutor: Říha Jaromír, prof. Ing., CSc.

  7. Solving crisis situations on sewers in the face of climate change

    The dissertation will focus on solving crisis situations in the sewerage and wastewater treatment plants in times of extreme weather (short-term and long-term climate change). Crisis management and development will be defined by tasks and measures in accordance with legal regulations and the most modern smart technologies available.

    Tutor: Hluštík Petr, doc. Ing., Ph.D.

  8. Stormwater management in urban areas

    The aim of the work is to develop new technical and non-technical measures for infiltration, retention and use of stormwater in urbanized areas. The work will focus on the issue of rainwater management on individual properties as well as on the public part of urban drainage. The work will be elaborated in relation to the solved projects related to this issue.

    Tutor: Hlavínek Petr, prof. Ing., CSc., MBA

  9. The Methodology for odor elimination on the sewerage network

    The dissertation thesis will be focused on the problem of odor on the sewerage network, which arises mainly in the trasnsfer stations of the sewerage system at the end of the pressurized sewers lines. The aim of this work is to elaborate a draft methodology for odor elimination at the sewerage system, which will be used for the sewerage and WWTP operators. The work will be tested various measures to eliminate odor in selected locations. The dissertation thesis will be solved in cooperation with Vodárenská akciová společnost, a.s.

    Tutor: Hluštík Petr, doc. Ing., Ph.D.

Course structure diagram with ECTS credits

1. year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DPA025Doctoral seminar 1 (VHS)cs4CompulsoryCrC1 - 39yes
DYA004English Language Tutorial for PhD Studentscs1CompulsoryCrC1 - 26yes
DPB026Operation research in water managementcs8Compulsory-optionalExP - 395814yes
DBB012Applied physicscs8Compulsory-optionalExP - 395814yes
DPB027Wastewater Treatmentcs8Compulsory-optionalExP - 395814yes
DSB023Hydropedologycs8Compulsory-optionalExP - 395814yes
DPB028Water Qualitycs8Compulsory-optionalExP - 395814yes
DRB024Precise authorized, calibration and laboratory measurements of hydraulic param.cs8Compulsory-optionalExP - 395814yes
DRB025Mathematical modelling in water managementcs8Compulsory-optionalExP - 395814yes
DSB024Meteorology and Climatologycs8Compulsory-optionalExP - 395814yes
DAB029Discrete Methods in Civil Engineering 1cs4Compulsory-optionalCrP - 395815yes
DAB030Numerical methods 1cs4Compulsory-optionalCrP - 395815yes
DAB031Probability and mathematical statisticscs4Compulsory-optionalCrP - 395815yes
DSB022Hydrologycs8Compulsory-optionalExP - 395816yes
DRB023Hydromechanicscs8Compulsory-optionalExP - 395816yes
DCB009Hydrochemistrycs8Compulsory-optionalExP - 395816yes
2. year of study, winter semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DPA029Doctoral seminar 2 (VHS)cs8CompulsoryCrC1 - 78yes
DAB032Time series analysiscs10Compulsory-optionalExP - 395818yes
DAB033Applications of mathematical methods in economicscs10Compulsory-optionalExP - 395818yes
DAB034Discrete Methods in Civil Engineering 2cs10Compulsory-optionalExP - 395818yes
DAB035Numerical methods 2cs10Compulsory-optionalExP - 395818yes
DAB036Numerical methods for the variational problemscs10Compulsory-optionalExP - 395818yes
DAB037Models of regressioncs10Compulsory-optionalExP - 395818yes
DRB026Physical modelling in water managementcs8Compulsory-optionalExP - 395819yes
DRB027Contemporary Weir Structurescs8Compulsory-optionalExP - 395819yes
DSB025Landscape engineering and hydrotechnical meliorationcs8Compulsory-optionalExP - 395819yes
DPB030Sewerage Systems – town drainagecs8Compulsory-optionalExP - 395819yes
DSB026Artificial inteligence methods in water managementcs8Compulsory-optionalExP - 395819yes
DSB027Control outflow from river basincs8Compulsory-optionalExP - 395819yes
DRB028Stability and revitalization open channelscs8Compulsory-optionalExP - 395819yes
DPB031Water Supplycs8Compulsory-optionalExP - 395819yes
DSB028Use of Geographic information systems in Water managementcs8Compulsory-optionalExP - 395819yes
2. year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DYA005English for PhD studentscs8CompulsoryExyes
DPA032Doctoral seminar 3 (VHS)cs8CompulsoryCrC1 - 78yes
3. year of study, winter semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DPA033Doctoral seminar 4 (VHS)cs8CompulsoryCrC1 - 78yes
3. year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DPA034Doctoral seminar 5 (VHS)cs14CompulsoryCrC1 - 78yes
4. year of study, winter semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DPA035Doctoral seminar 6 (VHS)cs14CompulsoryCrC1 - 78yes
4. year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DPA036Doctoral seminar 7 (VHS)cs20CompulsoryCrC1 - 78yes
All the groups of optional courses
Gr. Number of courses Courses
5814 min. 1 DPB026, DBB012, DPB027, DSB023, DPB028, DRB024, DRB025, DSB024
5815 min. 1 DAB029, DAB030, DAB031
5816 min. 1 DSB022, DRB023, DCB009
5818 min. 1 DAB032, DAB033, DAB034, DAB035, DAB036, DAB037
5819 min. 1 DRB026, DRB027, DSB025, DPB030, DSB026, DSB027, DRB028, DPB031, DSB028