branch detail

Mathematics in Electrical Engineering

FEKTAbbreviation: PKA-MVEAcad. year: 2017/2018Specialisation: -

Programme: Electrical Engineering and Communication

Length of Study: 4 years

Accredited from: 25.7.2007Accredited until: 31.12.2020

Profile of the branch

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.

Programme supervisor

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. Stochastic differential equations and their applications to electrical network

    By adding some randomness to the coefficients of an ordinary differential equation we get stochastic differential equations. Such an equation describes the current in an RL circuit with stochastic source. Then the solution of the equation is a random process. The subject involves creating stochastic models, numerical solutions of stochastic differential equations and examinations of the statistical estimates of the solutions.

    Tutor: Kolářová Edita, doc. RNDr., Ph.D.

  4. 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.
DBM1AAdvanced methods of processing and analysis of imagesen4winterOptional specializedDrExyes
DTK2AApplied cryptographyen4winterOptional specializedDrExyes
DET1AElectrotechnical materials, material systems and production processesen4winterOptional specializedDrExyes
DFY1AJunctions and nanostructuresen4winterOptional specializedDrExyes
DEE1AMathematical Modelling of Electrical Power Systemsen4winterOptional specializedDrExyes
DME1AMicroelectronic Systemsen4winterOptional specializedDrExyes
DRE1AModern electronic circuit designen4winterOptional specializedDrExyes
DAM1ASelected chaps from automatic controlen4winterOptional specializedDrExyes
DVE1ASelected problems from power electronics and electrical drivesen4winterOptional specializedDrExyes
DTE1ASpecial Measurement Methodsen4winterOptional specializedDrExyes
DMA1AStatistics, Stochastic Processes, Operations Researchen4winterOptional specializedDrExyes
DJA6AEnglish for post-graduatescs4winterGeneral knowledgeDrExyes
1. year of study, summer semester
CodeTitleL.Cr.Sem.Com.Compl.Gr.Op.
DMA2ADiscrete Processes in Electrical Engineeringen4summerOptional specializedDrExyes
DME2AMicroelectronic technologiesen4summerOptional specializedDrExyes
DRE2AModern digital wireless communicationen4summerOptional specializedDrExyes
DTK1AModern network technologiesen4summerOptional specializedDrExyes
DTE2ANumerical Computations with Partial Differential Equationsen4summerOptional specializedDrExyes
DET2ASelected diagnostic methods, reliability and qualityen4summerOptional specializedDrExyes
DAM2ASelected chaps from measuring techniquesen4summerOptional specializedDrExyes
DBM2ASelected problems of biomedical engineeringen4summerOptional specializedDrExyes
DEE2ASelected problems of electricity productionen4summerOptional specializedDrExyes
DFY2ASpectroscopic methods for non-destructive diagnostics en4summerOptional specializedDrExyes
DVE2ATopical Issues of Electrical Machines and Apparatusen4summerOptional specializedDrExyes
1. year of study, both semester
CodeTitleL.Cr.Sem.Com.Compl.Gr.Op.
DQJAAEnglish for the state doctoral examcs4bothCompulsoryDrExyes