Detail oboru

Mathematics in Electrical Engineering

Original title in Czech: Matematika v elektroinženýrstvíFEKTAbbreviation: PP-MVEAcad. year: 2017/2018Specialisation: -

Programme: Electrical Engineering and Communication

Length of Study: 4 years

Accredited from: 25.7.2007Accredited until: 31.12.2020

Profil oboru

The postgraduate study programme aims at preparing top scientific and research specialists in various areas of mathematics with applications in electrical engineering fields of study, especially in the area of stochastic processes, design of optimization and statistic methods for description of the systems studied, analysis of systems and multisystems using discrete and functional equations, digital topology application, AI mathematical background, transformation and representation of multistructures modelling automated processes, fuzzy preference structures application, multicriterial optimization, research into automata and multiautomata seen in the framework of discrete systems, stability and system controllability. The study programme will also focus on developing theoretical background of the above mentioned areas of mathematics.

Key learning outcomes

The graduates of the postgraduate study programme Mathematics in Electrical Engineering will be prepared for future employment in the area of applied research and in technology research teams. Due to the comprehensive use of computer engineering throughout the study programme, the graduates will be well prepared for work in the area of scientific and technology software development and maintenance. The graduates will also be prepared for management and analytical positions in companies requiring good knowledge of mathematical modelling, statistics and optimization.

Occupational profiles of graduates with examples

The graduates of the postgraduate study programme Mathematics in Electrical Engineering will be prepared for future employment in the area of applied research and in technology research teams. Due to the comprehensive use of computer engineering throughout the study programme, the graduates will be well prepared for work in the area of scientific and technology software development and maintenance. The graduates will also be prepared for management and analytical positions in companies requiring good knowledge of mathematical modelling, statistics and optimization.

Supervisor oboru

Issued topics of Doctoral Study Program

  1. Applied algebraic and topological methods in analysis of continuous and dicrete processes

    The dissertation will be focused on study and development of methods comming out from algebraic and topological properties of the fundamental mathematical structures and the structures of applied mathematics. The most intention will be devoted especially to certain context, causal and generalized metric structures. The results will be used for the analysis of continuous as well as discrete processes with possible applications in computer science, cybernetics, physics and biomedicine.

    Tutor: Kovár Martin, doc. RNDr., Ph.D.

  2. Semianalytical methods to solving partial differential equations

    The aim of the dissertation thesis is modification of the differential transformation method and iteration method with difference kernel to solving initial and boundary value problems for partial differential equations. Convergence analysis of mentioned methods will be investigated as well.

    Tutor: Šmarda Zdeněk, doc. RNDr., CSc.

  3. Uninorms and their applications in fuzzy logic

    Fuzzy logic is a form of many-valued logic or probabilistic logic. It has been applied to many fields, from control theory to artificial intelligence. The topic of the thesis is to study new constructions and properties of fuzzy logic connectives.

    Tutor: Hliněná Dana, doc. RNDr., Ph.D.


Course structure diagram with ECTS credits

1. year of study, winter semester
CodeTitleL.Cr.Sem.Com.Compl.Gr.Op.
DET1Electrotechnical materials, material systems and production processescs4winterOptional specializedDrExyes
DEE1Mathematical Modelling of Electrical Power Systemscs4winterOptional specializedDrExyes
DME1Microelectronic Systemscs4winterOptional specializedDrExyes
DTK1Modern network technologiescs4winterOptional specializedDrExyes
DRE1Modern electronic circuit designcs4winterOptional specializedDrExyes
DFY1Junctions and nanostructurescs4winterOptional specializedDrExyes
DTE1Special Measurement Methodscs4winterOptional specializedDrExyes
DMA1Statistics, Stochastic Processes, Operations Researchcs4winterOptional specializedDrExyes
DAM1Selected chaps from automatic controlcs4winterOptional specializedDrExyes
DVE1Selected problems from power electronics and electrical drivescs4winterOptional specializedDrExyes
DBM1Advanced methods of processing and analysis of imagescs4winterOptional specializedDrExyes
DJA6English for post-graduatescs4winterGeneral knowledgeDrExyes
DRIZSolving of innovative taskscs2winterGeneral knowledgeDrExyes
DEIZScientific publishing A to Zcs2winterGeneral knowledgeDrExyes
1. year of study, summer semester
CodeTitleL.Cr.Sem.Com.Compl.Gr.Op.
DTK2Applied cryptographycs4summerOptional specializedDrExyes
DMA2Discrete Processes in Electrical Engineeringcs4summerOptional specializedDrExyes
DME2Microelectronic technologiescs4summerOptional specializedDrExyes
DRE2Modern digital wireless communicationcs4summerOptional specializedDrExyes
DTE2Numerical Computations with Partial Differential Equationscs4summerOptional specializedDrExyes
DFY2Spectroscopic methods for non-destructive diagnostics cs4summerOptional specializedDrExyes
DET2Selected diagnostic methods, reliability and qualitycs4summerOptional specializedDrExyes
DAM2Selected chaps from measuring techniquescs4summerOptional specializedDrExyes
DBM2Selected problems of biomedical engineeringcs4summerOptional specializedDrExyes
DEE2Selected problems of electricity productioncs4summerOptional specializedDrExyes
DVE2Topical Issues of Electrical Machines and Apparatuscs4summerOptional specializedDrExyes
DJA6English for post-graduatescs4summerGeneral knowledgeDrExyes
DCVPQuotations in a research workcs2summerGeneral knowledgeDrExyes
DRIZSolving of innovative taskscs2summerGeneral knowledgeDrExyes
1. year of study, both semester
CodeTitleL.Cr.Sem.Com.Compl.Gr.Op.
DQJAEnglish for the state doctoral examcs4bothCompulsoryDrExyes