study programme

Automation and Measurement

Original title in Czech: Automatizační a měřicí technikaFaculty: FEECAbbreviation: BPC-AMTAcad. year: 2023/2024

Type of study programme: Bachelor's

Study programme code: B0714A060001

Degree awarded: Bc.

Language of instruction: Czech

Accreditation: 29.7.2022 - 29.7.2032

Profile of the programme

Academically oriented

Mode of study

Full-time study

Standard study length

3 years

Programme supervisor

Degree Programme Board

Chairman :
Ing. Miroslav Jirgl, Ph.D.
Councillor internal :
doc. Ing. Petr Beneš, Ph.D.
doc. Ing. Petr Blaha, Ph.D.
doc. Ing. Petr Fiedler, Ph.D.
Ing. Soňa Šedivá, Ph.D.
Councillor external :
Ing. Milan Findura, Ph.D.
Ing. Tomáš Neužil, Ph.D.

Fields of education

Area Topic Share [%]
Electrical Engineering Without thematic area 50
Cybernetics Without thematic area 50

Study aims

The study program Automation and Measurement Technology offers a university study in the field of electrical engineering and cybernetics with a closer focus on the issues of automation and instrumentation in the field of industry, transport and other sectors. The aim is to acquaint students
- with the basic principles and methods of higher mathematics, electrical engineering and circuit theory, selected parts of classical and quantum physics, with the laws of mechanics, electricity and magnetism, with the basics of working with electrical measuring instruments,
- with the basic concepts of signal and system theory, both continuous and discrete time,
- with the syntax and semantics of the hardware description language,
- with basic computer data storage methods, binary operations, basic principles of Von Neumann computer operation and with basics of C programming,
- the principles of operation of microprocessor systems, subsystems of microcontrollers and the basics of creating software for embedded systems,
- with methods of compiling and simulating abstract models for various physical and other real systems,
- with the basics of modern methods and methods of measuring physical quantities, including the importance of sensors and measurement of physical (technological) quantities in technical and non-technical fields,
- with methods of analysis of behavior of nonlinear dynamical systems, design and practical implementation of controllers for control of nonlinear systems.
- basic terminology in the field of artificial intelligence (machine learning, problem solving, knowledge representation, knowledge systems, computer vision and artificial neural networks),
- with the properties of logic systems and their design, construction, testing and practical use,
- with the basic concepts of signal processing, sampling and reconstruction theory and digital filters with a focus on the later extension to multidimensional, especially video signals,
- with discrete images, specifically with geometric and luminance transformation, integral transformation, with gradient operators, with methods of mathematical morphology and with a basic insight into image segmentation, description and classification,
- with the properties of automation means (sensors and actuators as well as control members, means of visualization and operator control).
The aim is also to enable students to practically create mobile robotic systems and master the most important areas of robotics - mechanical design, electronics development and programming.
A partial goal is also the preparation of students for follow-up master's studies.

Graduate profile

Graduates of the study program Automation and Measurement Technology will acquire theoretical foundations and professional knowledge in the field of mathematics, physics, electrical engineering, measurement, applied informatics, digital technology. Gain basic knowledge for the description, analysis and design of combinational and sequential logic networks in digital systems, theoretical knowledge and practical skills in sensors and methods of measuring the most frequent non-electrical quantities, including design concept of measurement, processing and evaluation of results.
The graduate will be able
- describe the properties of electrical circuit elements and their models and apply basic circuit laws in the analysis of linear and nonlinear electrical circuits, analyze linear electrical circuits in harmonic steady state, describe wave propagation on the transmission line in steady state and transient, explain the behavior of RLC resonant circuits , apply the Laplace transform in solving transients in linear circuits,
- comprehensively solve problems using modern programming techniques,
- explain the difference between microprocessor, microcontroller, signal processor and signal controller, explain the mechanism of segmentation, paging, swapping and memory virtualization,
- divide and describe automation means according to function in automation system, divide elements of process and control instrumentation and describe their properties, describe structure of servomechanisms, stepper motors and other selected drives, divide and characterize basic pneumatic and hydraulic drives and systems, describe basic elements for control buildings
- apply measuring and control systems,
- explain the theory of signal sampling and reconstruction for one-dimensional and multidimensional signals (especially video signals),
- apply basic transformations to discrete images in order to segment, describe and classify the image,
- explain the concept of artificial intelligence from the point of view of its application in technical devices, explain the architecture and functionality of knowledge systems, create a knowledge base for the expert system NPS32,
- explain paradigms of selected artificial neural networks (perceptron, multilayer neural network with backpropagation learning, convolutional neural network).
The graduate will be able to process the measured data, including their evaluation, make qualified conclusions about a specific measurement, use electrical measuring instruments, design and implement the measurement of electrical quantities. He will be able to
- create software for a simple embedded system in assembler and C language,
- systematically compile abstract models of mechanical, electromechanical and other systems, perform their simulation and basic analysis using the universal software MATLAB-Simulink,
- standardize models for use on microprocessors, linearize models of nonlinear systems, compile basic models of discrete event systems,
- practically work with selected elements of process and control instrumentation, including basic types of drives,
- design, use, adjust and maintain systems of applied informatics, especially in industrial technologies,
- choose areas of application of expert systems and apply the processing of optical information by means of artificial intelligence,
- analyze more complicated control systems designed primarily for the control of nonlinear systems, design control structures for nonlinear systems, verify the stability of nonlinear dynamic systems, design control of nonlinear systems using linearization,
- design basic control structures based on relay control and sliding mode,
- describe the principles of basic types of sensors, use the principles of methods of measuring mechanical quantities (position, speed, acceleration, force, torque), flow, temperature, radiation and procedures for processing measured data and their evaluation.

Profession characteristics

Graduates of the bachelor's program in Automation and Measurement Technology will find employment as operational technicians for measuring, control and automation systems and in all areas of application of digital technology in industry.
The graduate is able to solve practical tasks in the field of automation of technological processes, measurement of electrical and non-electrical quantities, applied informatics and artificial intelligence. It is used in the implementation, operation, adjustment and repair of the above systems.

Study plan creation

Courses are evaluated according to ECTS credits. The credit expresses an approximate weekly student's workload for the course. Credits for a given course are obtained after the prescribed completion, i.e. after awarding a credit, classified credit, or by passing an exam under the conditions of the BUT Rules of Study and Examination, the internal standard of the Rules for Organization of Studies at FEEC and the composition and content individually defined in each course.
In a three-year bachelor study, the student must earn at least 180 credits in the specified credit composition:
157 credits in compulsory courses,
5 credits for elaboration, submission and successful defense of bachelor thesis,
minimum of 14 credits in specified groups of compulsory elective (PV) courses,
at least 9 credits in elective courses.

Obligatory courses are usually completed by the student in semesters and years as stated in the curriculum. If a student fails to complete a compulsory course in the prescribed manner, he / she must register it again in the following year of his / her studies.
Compulsory elective courses of profiling fundamentals (PVA) are field-oriented professional courses that profile the student into narrower areas of his / her interests.
Other compulsory (PVB) courses are other professional courses included in the offers of the departments of FEEC BUT. Their goal is to extend students' professional knowledge.
The student chooses to select PV courses in individual semesters so that at the end of his / her bachelor's degree he / she has at least the prescribed minimum of credits in each group of PV courses, while not obtaining the minimum number of credits in one group of PV courses cannot be compensated by exceeding the number of credits obtained in another group of PV courses.
During the study, students must complete two English courses (English for Bachelors, English for Electrical Engineering).
Elective courses extend the general knowledge of students. Courses are chosen by the student himself or herself from a full-faculty offer (FEEC departments) or from the other faculties of VUT (so-called free courses) and can pass them in any year or semester of bachelor study. Elective courses include Physical Education. If a student has not successfully completed an elective course, he / she may or may not write another academic year in the next academic year.
Students must obtain the corresponding electrotechnic qualification at the beginning of their study.

Availability for the disabled

All lecture rooms at the FEEC BUT allow disabled access; students, however, must meet the medical standards to acquire the necessary electrotechnical qualifications. In laboratory classes and practicals, students are required to independently operate measuring instruments and related equipment without endangering human health or damaging property.

What degree programme types may have preceded

The graduates may continue in a master's study programme.

Course structure diagram with ECTS credits

1. year of study, winter semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
BPC-EL1Electrical Engineering 1cs5CompulsoryCr,ExP - 26 / L - 13 / CPP - 13yes
BPC-MA1BMathematics 1cs7CompulsoryCr,ExP - 52 / COZ - 8 / CPP - 18yes
BPC-TDETechnical Documentationcs3CompulsoryGCrP - 12 / Cp - 26yes
BPC-UDPIntroduction to Programmingcs7CompulsoryCr,ExP - 26 / Cp - 39yes
BPC-USKIntroduction to Control and Instrumentation Studiescs1CompulsoryCrP - 14yes
BPC-VMPVector and Matrix Algebracs5CompulsoryCr,ExP - 26 / COZ - 12 / CPP - 14yes
BPC-ELSElectrical Engineering Tutorialcs2Compulsory-optionalCrCOZ - 13 / L - 131yes
BPC-MASMathematical Seminarcs2Compulsory-optionalCrCOZ - 14 / CPP - 121yes
1. year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
BPC-ALDAlgorithms and Data Structurescs7CompulsoryCr,ExP - 26 / Cp - 39yes
BPC-EL2Electrical Engineering 2cs6CompulsoryCr,ExP - 26 / L - 20 / CPP - 19yes
BPC-FY1Physics 1cs6CompulsoryCr,ExP - 26 / COZ - 14 / Cp - 12 / L - 26yes
BPC-MA2Mathematics 2cs6CompulsoryCr,ExP - 39 / COZ - 6 / CPP - 14 / PR - 6yes
BPC-UKBIntroduction to Cyberneticscs3CompulsoryCrP - 16 / Cp - 10yes
BPC-FYSSeminar of Physicscs2Compulsory-optionalCrCOZ - 261yes
2. year of study, winter semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
BPC-LOSLogical circuits and systemscs7CompulsoryCr,ExP - 26 / L - 39yes
BPC-MVEMeasurement in Electrical Engineeringcs6CompulsoryCr,ExP - 26 / L - 39yes
BPC-NEODesign of Electronic Circuitscs6CompulsoryCr,ExP - 26 / Cp - 26yes
BPC-PNEDesign Systems and Electronic Circuits Practicecs3CompulsoryCrCp - 26 / L - 8yes
BPC-SASSignals and Systemscs8CompulsoryCr,ExP - 52 / Cp - 26yes
2. year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
BPC-FY2Physics 2cs6CompulsoryCr,ExP - 39 / COZ - 7 / Cp - 6 / L - 13yes
BPC-MODModeling and Simulationcs6CompulsoryCr,ExP - 26 / COZ - 14 / Cp - 12yes
BPC-PPAIndustrial automationcs6CompulsoryCr,ExP - 26 / L - 39yes
BPC-RESResilient Systemscs1CompulsoryCrP - 18yes
BPC-MICEmbedded Systems and Microprocessorscs6CompulsoryCr,ExP - 26 / Cp - 39yes
BPC-VIAVirtual instrumentation in automationcs3CompulsoryGCrP - 13 / L - 26yes
3. year of study, winter semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
BPC-RR1Control Theory 1cs7CompulsoryCr,ExP - 39 / COZ - 14 / Cp - 12yes
BPC-SBPBachelor Thesis Seminarcs2CompulsoryGCrS - 13yes
BPC-SNISensors cs6CompulsoryCr,ExP - 26 / L - 39yes
BPC-UINArtificial Intelligencecs5CompulsoryCr,ExP - 26 / Cp - 26yes
BPC-PPCBasics of Programming in C++cs6CompulsoryCr,ExP - 26 / Cp - 39yes
BPA-EPBElectrical Drivesen5Compulsory-optionalCr,ExP - 26 / Cp - 261yes
BPA-JEZNuclear Energetic Equipmenten6Compulsory-optionalCr,ExP - 26 / COZ - 18 / L - 211yes
BPC-I40Industry 4.0 - Virtual Manufacturingcs4Compulsory-optionalCrP - 10 / L - 391yes
BPC-RBMRobotics and Robotic Manipulatorscs4Compulsory-optionalCr,ExP - 26 / Cp - 81yes
BPC-SPCPC systemscs4Compulsory-optionalCr,ExP - 26 / L - 261yes
BPC-ZDAProcessing and digitizing of analogue signalscs6Compulsory-optionalCr,ExP - 26 / L - 391no
3. year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
BPC-BPABachelor thesiscs5CompulsoryCrVB - 52yes
BPC-RR2Control Theory 2cs6CompulsoryCr,ExP - 26 / COZ - 13 / Cp - 13yes
BPC-ZVSProcessing of multidimensional signalscs6CompulsoryCr,ExP - 26 / L - 39yes
BPC-BPLUnmanned Aircraftcs5Compulsory-optionalCr,ExP - 26 / CPP - 261yes
BPC-CRTComputer Controlcs6Compulsory-optionalCr,ExP - 26 / Cp - 391yes
BPC-DBSDatabases systemscs5Compulsory-optionalCr,ExP - 26 / Cp - 261no
BPA-VELPower Electronicsen6Compulsory-optionalCr,ExP - 39 / COZ - 14 / L - 121yes
BPC-PGAProgrammable Logic Controllerscs6Compulsory-optionalCr,ExP - 26 / L - 391yes
XPC-PSDDesign of Power and Data Networkscs6Compulsory-optionalCr,ExP - 26 / Cp - 24 / L - 151yes
BPC-PRPRobotics and Computer Visioncs7Compulsory-optionalCr,ExP - 26 / L - 391yes
BPC-SOSNetwork Operating Systemscs6Compulsory-optionalCr,ExP - 26 / Cp - 261yes
BPA-SCPThe C++ Programming Language en4ElectiveGCrCp - 391yes
Any year of study, winter semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
BPC-AN4English for Bachelors 2cs2Compulsory-optionalCr,ExCj - 261yes
BPC-AEIEnglish for Electrotechnical Engineeringcs2Compulsory-optionalCr,ExCj - 261yes
IALAlgorithmscs, en5ElectiveCr,ExP - 39 / PR - 13yes
BPC-ANAAnalog Technologycs6ElectiveCr,ExP - 26 / COZ - 12 / Cp - 12 / L - 14yes
XPC-AN3English for Bachelors - Intermediate 1cs3ElectiveExCj - 26yes
XPC-FCE1English for FCE 1cs3ElectiveGCrCj - 26yes
BPC-AITEnglish for ITcs3ElectiveGCrCj - 26no
BPC-AEBAutomobile Electric and Electronic Systemscs5ElectiveCr,ExP - 26 / L - 26yes
XPC-CA1CISCO Academy 1 - CCNAcs3ElectiveExP - 26 / L - 52yes
XPC-CA3CISCO Academy 3 - CCNAcs3ElectiveExP - 26 / L - 52yes
XPC-CA5CISCO Academy 5 - CCNPcs3ElectiveExL - 52yes
BPC-DSYTax System of the Czech Republiccs2ElectiveGCrP - 13 / COZ - 13yes
BPC-EPBElectrical Drivescs5ElectiveCr,ExP - 26 / Cp - 26yes
XPC-EPLEPLAN - Designing in Electrical Engineeringcs4ElectiveGCrCp - 52yes
XPC-EPOProfessional Ethicscs2ElectiveCrP - 338yes
BPC-FSLFinancial servicescs2ElectiveCrP - 26yes
XPC-FR1French for Beginners 1cs3ElectiveGCrCj - 26yes
BPC-FY1PNumerical problems in Physics 1cs2ElectiveCrCOZ - 26yes
BPC-FY2PNumerical problems in Physics 2cs2ElectiveCrCOZ - 26yes
XPC-IPDEngineering Pedagogy and Didacticscs5ElectiveExP - 52yes
XPC-ITA1Italian for Beginners 1cs3ElectiveGCrCj - 26yes
BPC-KMPManagement Communication in Practice cs, en3ElectiveCr,ExCOZ - 26no
BPC-KOMCommunication Technologycs6ElectiveCr,ExP - 26 / L - 39yes
XPC-KATConversation through Hot Current Issuescs3ElectiveCr,ExCj - 26yes
XPC-KPTCulture of Speech and the Generation of Textscs5ElectiveCrP - 26 / COZ - 26yes
XPC-LADLaboratory Didacticscs0ElectiveCrP - 13yes
BPC-LDTMedical diagnostic devicescs5ElectiveCr,ExP - 26 / L - 26yes
BPC-MEPMicroelectronic Practicecs2ElectiveCrL - 26yes
BPC-MDSMultimedia Servicescs6ElectiveCr,ExP - 26 / L - 26yes
BPC-NRPDesign and Fabrication of Electronic Instrumentscs6ElectiveCr,ExP - 26 / L - 26yes
BPC-NSPDesign Systems of Printed Circuit Boardscs5ElectiveCr,ExP - 26 / Cp - 26yes
XPC-NE3German for Lower-Intermediate 1cs3ElectiveGCrCj - 26yes
XPC-NE1German for Beginners 1cs3ElectiveGCrCj - 26yes
XPC-BENBusiness Englishcs, en3ElectiveCr,ExCj - 26no
BPC-OPAPractical Trainingcs4ElectiveCrPX - 26yes
XPC-PEPPedagogical Psychologycs5ElectiveCr,ExP - 52yes
BPC-MEMComputer Modeling of Electrical Devices and Componentscs3ElectiveGCrP - 26 / Cp - 26no
XPC-POMManagement Minimumcs4ElectiveCrP - 26 / COZ - 26yes
XPC-POUDouble-Entry Bookkeepingcs4ElectiveExP - 26 / COZ - 26yes
BPC-PA1Practical English 1cs5ElectiveExCj - 52yes
BPC-PTSAccess and Transport Networkscs6ElectiveCr,ExP - 26 / L - 26yes
BPC-ORSPsychological Seminar of Personality Development and Self-realizationcs3ElectiveCrCOZ - 26yes
XPC-RU1Russian for Beginners 1cs3ElectiveGCrCj - 26yes
XPC-ESP1Spanish for Beginners 1cs3ElectiveGCrCj - 26yes
BPC-TVTTelevision Technology and Multimediacs5ElectiveCr,ExP - 26 / L - 26yes
BPC-VPASelected parts from mathematics I.cs5ElectiveExP - 26 / COZ - 12 / CPP - 14yes
BPC-ZSYSecurity Systemscs5ElectiveCr,ExP - 26 / L - 26yes
BPC-ZKRFoundations of Cryptographycs6ElectiveCr,ExP - 26 / Cp - 39yes
IZPIntroduction to Programming Systemscs, en7ElectiveCr,ExP - 39 / S - 12 / Cp - 22 / PR - 5 / O - 1yes
Any year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
BPC-AN4English for Bachelors 2cs2Compulsory-optionalCr,ExCj - 261yes
BPC-AEIEnglish for Electrotechnical Engineeringcs2Compulsory-optionalCr,ExCj - 261yes
XPC-FCE2English for FCE 2cs3ElectiveGCrCj - 26yes
BPC-AITEnglish for ITcs3ElectiveGCrCj - 26no
BPC-ARSNetwork Architecturecs6ElectiveCr,ExP - 26 / L - 26yes
BPC-AUDAudio Electronicscs5ElectiveCr,ExP - 26 / L - 26yes
XPC-ELBSafety in Electrical Engineeringcs2ElectiveExP - 26yes
XPC-CASCISCO Academy - Network Securitycs3ElectiveExL - 52yes
XPC-CA2CISCO Academy 2 - CCNAcs3ElectiveExP - 26 / L - 52yes
XPC-CA4CISCO Academy 4 - CCNPcs3ElectiveExL - 52yes
BPC-CZSDigital Signal Processingcs5ElectiveCr,ExP - 26 / Cp - 26yes
BPC-DSYTax System of the Czech Republiccs2ElectiveGCrP - 13 / COZ - 13yes
BPC-DAKData Communicationcs6ElectiveCr,ExP - 26 / Cp - 12 / L - 14yes
XPC-EKEEcology in Electrotechnical Professioncs4ElectiveCr,ExP - 26 / L - 26no
BPC-ELFElectronic Filterscs5ElectiveCr,ExP - 26 / Cp - 13 / L - 13yes
XPC-EPOProfessional Ethicscs2ElectiveCrP - 26yes
BPC-FSLFinancial servicescs2ElectiveCrP - 26yes
XPC-FR2French for Beginners 2cs3ElectiveGCrCj - 26yes
BPC-FY1PNumerical problems in Physics 1cs2ElectiveCrCOZ - 26no
BPC-FY2PNumerical problems in Physics 2cs2ElectiveCrCOZ - 26yes
XPC-HWSHardware of Computer Networkscs5ElectiveCr,ExP - 26 / L - 26yes
XPC-IPDEngineering Pedagogy and Didacticscs5ElectiveExP - 52yes
XPC-ITA2Italian for Beginners 2cs3ElectiveGCrCj - 26yes
BPC-KMPManagement Communication in Practice cs, en3ElectiveCr,Exno
BPC-IOTCommunication Systems for IoTcs5ElectiveCr,ExP - 26 / L - 26yes
BPC-KEZDesign of Electronic Devicescs5ElectiveCr,ExP - 26 / L - 26yes
XPC-KATConversation through Hot Current Issuescs3ElectiveCr,ExCj - 26yes
XPC-KPTCulture of Speech and the Generation of Textscs5ElectiveCrP - 26 / COZ - 26yes
XPC-LADLaboratory Didacticscs0ElectiveCrP - 13yes
BPC-MKOMobile Communicationcs5ElectiveCr,ExP - 26 / L - 26yes
XPC-NE4German for Lower-Intermediate 2cs3ElectiveGCrCj - 26yes
XPC-NE2German for Beginners 2cs3ElectiveGCrCj - 26yes
XPC-BENBusiness Englishcs, en3ElectiveCr,ExCj - 26no
BPC-OOPObject-Oriented Programmingcs6ElectiveCr,ExP - 26 / Cp - 39yes
BPC-OKOOptical Communicationcs5ElectiveCr,ExP - 26 / COZ - 13 / L - 13yes
XPC-PEPPedagogical Psychologycs5ElectiveCr,ExP - 52yes
XPC-POUDouble-Entry Bookkeepingcs4ElectiveExP - 26 / COZ - 26yes
BPC-PA2Practical English 2cs5ElectiveExCj - 52yes
XPC-MW5Programming .NET and C#cs5ElectiveExP - 26 / Cp - 26no
XPC-PFVDesigning of photovoltaic systemscs2ElectiveCrCp - 26yes
BPC-ORSPsychological Seminar of Personality Development and Self-realizationcs3ElectiveCrCOZ - 26yes
XPC-RU2Russian for Beginners 2cs3ElectiveGCrCj - 26yes
XPC-ESP2Spanish for Beginners 2cs3ElectiveGCrCj - 26yes
TPRTechnical Lawcs2ElectiveCrP - 26yes
BPC-TPTTherapeutic and Prothetic Technologycs5ElectiveCr,ExP - 26 / L - 26yes
BPC-UIPIntroduction to Industry 4.0 Initiativecs5ElectiveCr,ExP - 26 / Cp - 26yes
XPC-PZESelected Topics of Electrical Engineering in Englishcs3ElectiveGCrP - 13 / COZ - 13no
XPC-VPMSelected parts from mathematics II.cs5ElectiveExP - 26 / COZ - 12 / CPP - 14yes
BPC-OZUSelected Topics in Renewable Energy Sources and Energy Storagecs5ElectiveCr,ExP - 26 / L - 26yes
BPC-ZESFoundations of Power Electrical Engineeringcs5ElectiveCr,ExP - 26 / COZ - 13 / L - 13yes
BPC-PISFundamentals of Information and Communication Technologiescs2ElectiveCrL - 26yes
IZGComputer Graphics Principlescs, en6ElectiveCr,ExP - 39 / Cp - 12 / PR - 14yes
All the groups of optional courses
Gr. Number of ECTS credits Courses
1 2 cr - 6 cr BPC-ELS (2 cr), BPC-MAS (2 cr), BPC-FYS (2 cr)
1 8 cr - 80 cr BPA-EPB (5 cr), BPA-JEZ (6 cr), BPC-I40 (4 cr), BPC-RBM (4 cr), BPC-SPC (4 cr), BPC-ZDA (6 cr), BPC-BPL (5 cr), BPC-CRT (6 cr), BPC-DBS (5 cr), BPA-VEL (6 cr), BPC-PGA (6 cr), XPC-PSD (6 cr), BPC-PRP (7 cr), BPC-SOS (6 cr), BPA-SCP (4 cr)
1 4 cr - 8 cr BPC-AN4 (2 cr) winter/summer sem., BPC-AEI (2 cr) winter/summer sem.