study programme

Structural and Transport Engineering

Original title in Czech: Konstrukce a dopravní stavbyFaculty: FCEAbbreviation: DKC-KAcad. year: 2021/2022

Type of study programme: Doctoral

Study programme code: P0732D260022

Degree awarded: Ph.D.

Language of instruction: Czech

Accreditation: 8.10.2019 - 8.10.2029

Mode of study

Combined study

Standard study length

4 years

Programme supervisor

Doctoral Board

Fields of education

Area Topic Share [%]
Civil Engineering 70
Civil Engineering 30

Study aims

The aim of the doctoral study program Structures and Traffic Structures is to provide excellent graduates with a specialized university degree and scientific training in selected current fields of study, particularly in the field of mechanics of load-bearing building structures, concrete, masonry, composite, metal, wood, geotechnics, building testing and diagnostics of load-bearing building structures as well as in the areas of road construction and railway structures and constructions. The study is focused on complex scientific preparation, methodology of independent scientific work and on the development of knowledge in the field of the theory of load-bearing structures, engineering structures and transport structures, with the basic disciplines presented areas of mechanics of load-bearing structures of engineering and transport structures. . The scientific preparation in this study program is based on mastering the initial theoretical disciplines of the science-based basis and theoretical and scientific disciplines of the relevant focus.
The aim of the study is also the involvement of students in the preparation and solution of national and international scientific research projects, presentation of achieved results at national and international level and their publication in professional and scientific foreign and domestic journals as well as at scientific and professional conferences. During his / her studies, the student gains not only new theoretical knowledge, but also own experience from experimental activities and necessary practical knowledge also thanks to close cooperation with construction practice in the field of designing and designing and realization of load-bearing building structures as well as to a foreign university or research institution, or work placements at another professional workplace.

Graduate profile

Graduates of the doctoral study program Structural and Transport Engineering will be prepared for creative activities in the field of science, research, development and innovation, both individually and in teams at national and international level. During his / her doctoral program he / she acquires and acquires deep knowledge of theoretical and professional disciplines, acquires not only new theoretical knowledge but also new own experience and acquires the necessary habits for independent scientific research and creative activities in research and development. in addressing current scientific issues and issues arising from practice requirements. Upon successful completion of the highest level of university studies in the doctoral study program Construction and Traffic Structures, the graduate will be able to deepen the knowledge and level of knowledge in the field and successfully use knowledge and scientific approaches in solving theoretical and practical tasks.
Scientific preparation is focused on the following basic specializations: Mechanics of load-bearing structures; Concrete and masonry structures; Metal, wood and composite structures; Geotechnics; Experimental technology and testing; Roads; Railway structures and constructions. Graduates can be employed mainly in research and development workplaces, in designing organizations, in state administration bodies, and the experience gained during their teaching experience within the doctoral study program can be applied also in education in the academic sphere or in other educational or research institutions. Completion of the doctoral study program is also a necessary precondition for possible further career and professional academic growth of the graduate.

Profession characteristics

Doctoral degree programs are primarily aimed at graduate employment in science and research, which is, among other things, anchored in the objectives of study, learning outcomes and graduate profile. This implies the employment of graduates especially in organizations, institutions and companies that are engaged in research and development activities. These are mainly research organizations whose main activity is research and development, but also construction practice entities, ie companies, where research and development is one of the part of the whole spectrum of activities in addition to commonly realized activities such as production and implementation. A number of implementing companies are currently creating support for their own research and development as they can strengthen their position, competitiveness and marketability in a highly competitive environment. In this regard, there is a growing demand for younger generation professionals with independent creative scientific work, knowledge and insight into new modern trends not only in their expertise but also in related expertise and activities such as PC modeling, simulation, experimental methods and procedures. Last but not least, the graduate has the opportunity to work in the academic sphere, which involves combining scientific research and educational activities. Graduates can thus find employment especially in research organizations and construction practice companies in the context of related development and innovation activities, in educational institutions, especially in the university sphere, which provides them with the possibility of further personal and career development and professional academic growth. Moreover, experience shows that graduates of doctoral study programs are very successful in organizations of the mentioned types not only in the Czech Republic but also abroad, which is also true for graduates in the field of Construction and Transport Structures. Completion of the doctoral study program gives graduates very good prerequisites for employment in, for example, design organizations or state administration in higher professional and managerial positions.

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 Construction and Traffic Structures is a follow-up to the follow-up Master's study program Civil Engineering, in particular the study field Construction and Traffic 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 - Structures and Traffic Constructions for this program.

Issued topics of Doctoral Study Program

  1. Analysis of long-term behavior of concrete structures

    The aim of the work is an analysis of long-term behavior of concrete structures (bridges, buildings, tanks, etc.). Specification of methods for monitoring, specification of statical calculations , comparison of measured and calculated values.

    Tutor: Zich Miloš, doc. Ing., Ph.D.

  2. Analysis of measured data by traditional and non-traditioanal tools via Matlab or Excel

    The basic description of test material or construction is the measurement. The important part is the correct evaluation of the obtained data. When evaluating large volumes of data, it is also advisable to use less traditional methods. Measurements may contain long time data. The basic description takes place in the time domain of the band. Important information can also be obtained in the frequency or time-frequency domain. The aim is to process some procedures in Matlab and/or VBA Excel.

    Tutor: Pazdera Luboš, prof. Ing., CSc.

  3. Application of the non destructive testing methods at determination properties of materials contained resins structures

    The use of materials based on resins is also suitable in building construction. Their important application is in the field of pipeline repairs. However, an inspection of these pipes in terms of both material and shape is difficult. The aim would deal with the possibility of using destructive and especially non-destructive methods of analysis of material properties or pipelines. Promising methods are wave propagation methods. Mathematical analysis (eg FEM model) could also be part of the work.

    Tutor: Pazdera Luboš, prof. Ing., CSc.

  4. BIM applications in the field of line constructions

    BIM (Building Information Modeling or Building Information Management) is a set of information modeling processes - creating, updating and managing data on a construction project throughout its life cycle in order to optimize it and achieve the appropriate added value. In practice, this area is mainly associated with the digital building model (BIM model) from design, through the actual construction processes to the construction management throughout the life cycle. The topic includes an analysis of the current state in the subject area and the subsequent design and verification of a suitable data model for the needs of line (roadway and railway) structures.

    Tutor: Smutný Jaroslav, prof. Ing., Dr.

  5. Comprehensive assessment of D35 Opatovec–Staré Město motorway foundation

    The topic focuses on the construction of D35 motorway between Opatovec and Staré Město. The motorway will have an impact not only on traffic on the existing I/35 road, but also on other roads in the road network. When completed, the D35 motorway, together with the D11 motorway, should become an alternative route to the congested D1 motorway. The construction will also include a 4 km long tunnel near Dětřichov. The proposed dissertation targets on a comprehensive assessment of D35 Opatovec–Staré Město motorway foundation. In particular, available natural and artificial rock outcrops will be studied. The topic will be solved in cooperation with GEOSTAR, spol. s r. o.

    Tutor: Krmíček Lukáš, doc. RNDr. Mgr., Ph.D.

  6. Damage and fracture aspects of advanced building materials / rocks based structures

    Appropriate structural design from advanced building materials (including 3D printing materials, lunar soils composites, ballistic materials etc.) or rocks is conditioned by the ability of prediction of real response obtained by robust computational tools with implementation of proper failure models based on non-linear fracture mechanics. There will be cooperation with the Institute of Building Testing and and possibly other workplaces, and support of selected supervisor-specialists.

    Tutor: Keršner Zbyněk, prof. Ing., CSc.

  7. Dependence between performance properties of bituminous binders and asphalt mixtures

    A number of tests can currently be used to evaluate the rheological behavior of bituminous binders as well as the functional properties of asphalt mixtures. However, the correlations between the properties of bituminous binders and asphalt mixtures have not yet been sufficiently described. The aim of the dissertation will be to look for the dependencies between the properties of bituminous binders and the composition and properties of asphalt mixtures.

    Tutor: Dašek Ondřej, Ing., Ph.D.

  8. Design of Modern Railway Stations

    The topic is focused on designing of railway stations regarding current operating needs, including involvement in integrated transport systems and increased demands for safety, traffic and interoperability of the railway system.

    Tutor: Svoboda Richard, Ing., Ph.D.

  9. Design of new or strengthening of existing concrete strucztures

    masonry, reinforced an prestressed concretet structures, connected to current solved research projects at dept of Masonry and concrete structures

    Tutor: Štěpánek Petr, prof. RNDr. Ing., CSc., dr. h. c.

  10. Developement of structures, structure components and joints made of steel or steel-combined materials

    Tutor: Barnat Jan, Ing., Ph.D.

  11. Experimental and numerical analysis of the shrinkage process in the concrete of various composition

    The topic focuses on the experimental investigation of the shrinkage process in the concrete of different compositions during the whole time of its ageing. The main aim is to identify the external and internal factors which influence the process and magnitude of total deformation. The experimental data will be used as input values for the numerical analysis performed in cooperation with the Institute of structural mechanics (Ing. Hana Šimonová, Ph.D.). The subject of partial evaluations is the assessment of the significance of the investigated problems in relation to the durability of the load-bearing structures.

    Tutor: Kucharczyková Barbara, doc. Ing., Ph.D.

  12. Failure initiation and fracture of selected composites with brittle matrix

    The work will be focused on the coherent research of nonlinear fracture behaviour of composites with a matrix. Their mechanical fracture properties will be studied in detail. The video extensometer method will be used for tracking the crack propagation direction during the fracture experiments. The obtained experimental results will be used as input parameters of nonlinear fracture models, which simulate the cohesive character of failure propagation through quasi-brittle material, used to predict the real response of the specimen/structure. The topic will be investigated in close cooperation with the Institute of Building Testing – supervisor-specialist doc. Ing. Barbara Kucharczyková, Ph.D.

    Tutor: Šimonová Hana, Ing., Ph.D.

  13. Fatigue and fracture properties of various kinds of self-healing/curing concrete

    The ability of concrete to repair its small cracks autonomously is called as self-healing. The main aim will be to quantify the self-curing effect based on fatigue and fracture-mechanical tests. The beams will be exposed to cyclic loading. From this a traditional S-N curve will be evaluated for each stress level. To quantify self-healing/curing effect and it influence on the residual fatigue life the tested specimen will scanned by CT tomography.

    Tutor: Seitl Stanislav, doc. Ing., Ph.D.

  14. Fatigue properties of steel components for civil engineering structures (Bridge, crane etc.)

    The use of stainless steel for bridge structures is relatively recent. Significant advances in the use of stainless steel in known. The degradation of properties and lifetime assessment of steel subjected to complex mechanical loading will be investigated. Experimental part of the proposal, evaluation of the input data for finite element software ANSYS i.e. a) S-N curve – smooth or with defined singular concentrator/notch, b) specimen with crack, threshold values, Paris’ law, stress ratios etc.

    Tutor: Seitl Stanislav, doc. Ing., Ph.D.

  15. Fracturing of geomaterials monitored by ultrasonic methods

    The dissertation will be focused on determination of the failure mechanisms (sliding, shearing) of selected geomaterials during uniaxial and triaxial compression tests. The fracturing will be monitored by ultrasonic sounding and acoustic emission.

    Tutor: Krmíček Lukáš, doc. RNDr. Mgr., Ph.D.

  16. Homogenization of discrete models of concrete taking into account strain localization

    Student will develop computational homogenization technique of discrete mesoscale model of concrete fracture based on asymptotic exapnsion according to [R. Rezakhani, G. Cusatis, J Mech Phys Solids 88, 320–345 (2016)]. The homogenization will be enhanced by modification of Hill-Mandel condition to account also for strain localization. This will be practically achived by having two disctinct Representative Volume Elements (RVEs) at each integration point, one for localizing part and one for unloading part of the material [J. F. Unger, J Mech Phys Solids 61, 928–948 (2013)]. Furthermore, an attempt will be taken towards speed up the simulations by applying Proper Ortogonal Decomposition.

    Tutor: Eliáš Jan, doc. Ing., Ph.D.

  17. Image analysis for determination of geometrical characteristics of aggregates

    Image analysis of a planar section of pavement construction might be an alternative method to dissolving of binder and sieve analysis with the goal to obtain gradation curve and other geometrical characteristics. For grains over 1 mm, this procedure could be less laborious and sufficiently reliable. For a qualitative analysis of the the grain shape, it could introduce new objective criteria, even for free aggregates before use in construction.

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

  18. Inverse analysis and optimization for reliability and lifetime assessment of structures

    The topic is focused on solving inverse problems and optimization for the design and reliability and lifetime assessment of structures. For solution stochastic and soft-computing methods will be utilized. Main attention will be focused on the methods and procedures applicable in combination with a non-linear FEM analyses of bridge structures.

    Tutor: Lehký David, doc. Ing., Ph.D.

  19. Load-bearing wood-based structural members and parts

    The dissertation is focused on the issues of the real behaviour and the design methods of load-bearing wood-based structural members and parts.

    Tutor: Šmak Milan, doc. Ing., Ph.D.

  20. Mechanics of Railway Track

    The theme is focused on the study of mechanics of railway structures. The theme includes static and dynamic analyses of the track with the special aim in speed increasing, modern elements of track and interoperability of railway infrastructure. Particular topics: - analytical and numerical methods for track analyses in the time and frequency domain

    Tutor: Plášek Otto, doc. Ing., Ph.D.

  21. Modern trends in the construction of flexible pavements

    Innovative asphalt layers of flexible pavements of the 21st century (Priorities - recycled materials, simple technology, low cost materials) a) fully recycled base layers b) higher content of non-crushed grains in the asphalt mixtures of the flexible pavements d) asphalt base layer - max D 32 mm with R-material (open grading) etc.

    Tutor: Stehlík Dušan, doc. Ing., Ph.D.

  22. Multilayer system analysis for flexible pavement assessment

    Load effect on pavemenent construction is computed according to standard TP170 "with use of a suitable program" based on "the multilayer elastic system model". Existing programs are verified empirically and the results are used in the pavement catalog. New computer program with an open source code is needed for the computational procedure. Furthermore, it is desirable to analyze different possible methods reflecting viscoelastic properties and rheological behavior of the binder used.

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

  23. Permeability of Geomaterials

    The thesis is focused on the determination of permeability of geomaterials. Attention should be focused on: methods for determining permeability and evaluation of tests, factors influencing the permeability of geomaterials, evaluation of individual methods/factors, laboratory testing of permeability of selected geomaterials, summary and analysis of obtained and published results.

    Tutor: Boštík Jiří, Ing., Ph.D.

  24. Physico-mechanical and durability characteristics of construction concrete elements with alternative adition of fibres with waste sources.

    Both organic and anorganic fibres from waste raw materials can be used purposefully in construction fibre concretes with extracted aggregate and concrete recyclate. The comparison of physical-mechanical and durability characteristics of fibre concretes with and without loading can contribute to estimating lifetime and ductility behaviour of fibre concretes of different formulations.

    Tutor: Stehlík Michal, doc. Ing., Ph.D.

  25. Physico-mechanical and durability characteristics of construction concrete elements with alternative adition of glass recyclate

    In the Czech Republic is recycled annually 100 000 tons of glass waste. By crushing and cleaning of waste is created glass recyclate in a different factions. One of the potential application is the substitution of the coarse aggregate of concrete by glass recyclate. The results of a number of mechanical and physico-chemical tests without and after application of load shall decide on the use of concretes with the glass recyclate and shall help with the assessment of efficiency of production.

    Tutor: Stehlík Michal, doc. Ing., Ph.D.

  26. Reological properties of mastic in relation to the activity of the filler part

    Mastic is a component of asphalt mixture, which determines the coexistence in the system bituminous binder and aggregate. Because the aggregate sources in the Czech Republic are very diverse, it is suitable to gain the knowledge about the mineral part of mastic.

    Tutor: Varaus Michal, doc. Dr. Ing.

  27. Response of rock mass during driving underground structures

    Analysis of driven underground structures behaviour - influence of selected factors. It is supposed to application of mathematical modelling for analysis these factors.

    Tutor: Boštík Jiří, Ing., Ph.D.

  28. Selected problems in traffic acoustics

    The topic includes the solution of a group of selected problems in the field of acoustics in the environment of rail transport. The first includes the application of the CNOSSOS-EU methodology and the validation of noise from rail transport in the development of mathematical models in solving the reduction of harmful noise. The second includes methods and procedures for reducing environmental noise in urban agglomerations from tram traffic. The third is focused on the influence of weather conditions on the propagation of sound waves from traffic in the outdoor environment.

    Tutor: Smutný Jaroslav, prof. Ing., Dr.

  29. Technology of Constructuion and Maintenance of Railway Structures

    The topic is focused on research of technology procedures and corrective maintenance that lead to minimization of the traffic restriction, energy consumption, environmental impact and life cycle costs.

    Tutor: Svoboda Richard, Ing., Ph.D.

  30. The development and application of new methods for experimental static and dynamic analysis of railway construction.

    The theme includes the development and application of new procedures in the issue of experimental analysis of engineering (railway) construction. It is expected to be focused on advanced mathematical techniques from the field of time and frequency domain in combination with the methods of artificial intelligence. Part of the topic is the implementation of these procedures in the process of verification of new railway structures, or structures for higher operating speeds.

    Tutor: Smutný Jaroslav, prof. Ing., Dr.

  31. The intelligent monitoring system for identifying the condition of railway lines

    The essence of the topic is the design of a modern monitoring system for measuring the dynamic effects on the railway superstructure during the passage of trains, evaluation of its current state and for evaluating the effectiveness of maintenance work during its life cycle. The topic includes the creation of a "smart" modular system of basic data collection and a set of appropriate algorithms that allow to obtain information about the state of railway lines and their components in real time, transfer and store them in the created information system for subsequent use for manufacturers, government, projection, research, etc. The work will be carried out on the current platform at the institute of existing measuring technology.

    Tutor: Smutný Jaroslav, prof. Ing., Dr.

  32. The possibilities of using recycled aggregates in the production of concrete for structures

    The use of recycled aggregates for the production of concrete is relatively complicated. Recycled aggregates, which are made from construction and demolition waste, do not reach the qualities of natural aggregates. However, in an effort to reduce CO2 emissions and increase the sustainability of concrete, it is necessary to try to use recycled aggregates. One way to improve the properties of recycled aggregate is by surface treatment.

    Tutor: Kocáb Dalibor, Ing., Ph.D.

  33. The research of dynamic behaviour of railway lines

    The theme is focused on study of dynamic behaviour of railway lines. The theme includes railway superstructure and railway subbase. The topic involves experiment and simulation techniques. Within the simulations, an orientation to the Finite Element Method is assumed, and within the experiment to diagnostics with the use of stationary stations and measuring train sets. The theme also includes application of a suitable modern mathematical apparatus for the evaluation of the railway lines parameters including of artificial intelligence methods use.

    Tutor: Smutný Jaroslav, prof. Ing., Dr.

  34. The use of high-strength materials in case of of composite steel-concrete structures

    Theoretical and experimental analysis of an efficient design in case of composite steel-concrete members and structures with the possibility of an optimal utilization of high-strength materials - using HSS and HPC, especially with respect to geometric and material characteristics as well as to various types of loading.

    Tutor: Štrba Michal, Ing., Ph.D.

  35. Theoretical and experimental analysis of the actual behaviour of members and components of steel structures

    The theme of Ph.D. thesis includes the theoretical and experimental analysis of the limit states and actual behaviour of load-carrying members and components of steel structures. The analysis will be arised from the numerical modelling, which will be verified by the experiments.

    Tutor: Pilgr Milan, Ing., Ph.D.

  36. Theory and real behaviour of members and elements of steel structures

    Problems concerning the reliability, modelling, optimalisation and verification of the behaviour of construction members, elements and bearing systems made of steel are solved. Emphasis is placed on the assessment of real geometrical, material and construction characteristics.

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

  37. Update of the road design elements

    The subject of the dissertation thesis is to update the selected elements from the Czech standards ČSN 73 6102 a ČSN 73 6110 following the revision of these standards.

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

Course structure diagram with ECTS credits

1. year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DOA036Doctoral Seminar 1 (KDS)cs4CompulsoryCrC1 - 39yes
DYA004English Language Tutorial for PhD Studentscs1CompulsoryCrC1 - 26yes
DIB023Diagnostic methods in civil engineeringcs8Compulsory-optionalExP - 395972yes
DFB022Soil and Structure Interactioncs8Compulsory-optionalExP - 395972yes
DMB019Reliability of Road Structurescs8Compulsory-optionalExP - 395972yes
DLB040Theory of Concrete and Masonry Structurescs8Compulsory-optionalExP - 395972yes
DNB018Permanent Way Theorycs8Compulsory-optionalExP - 395972yes
DOB037Theory of Metal and Timber Structurescs8Compulsory-optionalExP - 395972yes
DDB034Theory of elasticity, plasticity and failurecs8Compulsory-optionalExP - 395972yes
DDB033Structural mechanicscs8Compulsory-optionalExP - 395973yes
DMB020Traffic Structures Theorycs8Compulsory-optionalExP - 395973yes
DAB029Discrete Methods in Civil Engineering 1cs4Compulsory-optionalCrP - 395974yes
DAB030Numerical methods 1cs4Compulsory-optionalCrP - 395974yes
DAB031Probability and mathematical statisticscs4Compulsory-optionalCrP - 395974yes
2. year of study, winter semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DOA038Doctoral Seminar 2 (KDS)cs8CompulsoryCrC1 - 78yes
DAB032Time series analysiscs10Compulsory-optionalExP - 395977yes
DAB033Applications of mathematical methods in economicscs10Compulsory-optionalExP - 395977yes
DAB034Discrete Methods in Civil Engineering 2cs10Compulsory-optionalExP - 395977yes
DAB035Numerical methods 2cs10Compulsory-optionalExP - 395977yes
DAB036Numerical methods for the variational problemscs10Compulsory-optionalExP - 395977yes
DAB037Models of regressioncs10Compulsory-optionalExP - 395977yes
DLB041Modelling of Structurescs8Compulsory-optionalExP - 395978yes
DFB023Underground Engineeringcs8Compulsory-optionalExP - 395978yes
DIB024Radiation methods in civil engineeringcs8Compulsory-optionalExP - 395978yes
DDB035Dynamics of structurescs8Compulsory-optionalExP - 395978yes
DNB019Railway Substructure Theorycs8Compulsory-optionalExP - 395978yes
DOB039Theory of Composite Steel-Concrete Structurescs8Compulsory-optionalExP - 395978yes
DMB021Environment and road designcs8Compulsory-optionalExP - 395978yes
2. year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DYA005English for PhD studentscs8CompulsoryExyes
DOA040Doctoral Seminar 3 (KDS)cs8CompulsoryCrC1 - 78yes
3. year of study, winter semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DOA041Doctoral Seminar 4 (KDS)cs8CompulsoryCrC1 - 78yes
3. year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DOA042Doctoral Seminar 5 (KDS)cs14CompulsoryCrC1 - 78yes
4. year of study, winter semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DOA043Doctoral Seminar 6 (KDS)cs14CompulsoryCrC1 - 78yes
4. year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DOA044Doctoral Seminar 7 (KDS)cs20CompulsoryCrC1 - 78yes
All the groups of optional courses
Gr. Min. Courses
5972 0 DIB023, DFB022, DMB019, DLB040, DNB018, DOB037, DDB034
5973 0 DDB033, DMB020
5974 0 DAB029, DAB030, DAB031
5977 0 DAB032, DAB033, DAB034, DAB035, DAB036, DAB037
5978 0 DLB041, DFB023, DIB024, DDB035, DNB019, DOB039, DMB021