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Branch detail

Mathematics in Electrical Engineering


Original title in Czech: Matematika v elektroinženýrství
Abbreviation: PP-MVE
Specialisation: -
Length of Study: 4 years
Programme: Electrical Engineering and Communication
Faculty: Faculty of Electrical Engineering and Communication
Academic year: 2017/2018
Accredited from: 25.7.2007
Accredited 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.
Branch supervisor: doc. RNDr. Zdeněk Šmarda, CSc.
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

Year of study 1, winter semester

Code Title L. Cr. Sem. Com. Compl. Gr. Op.

Optional specialized
FEKT-DET1 Electrotechnical materials, material ... cs  4  winter OS DrEx   yes
FEKT-DEE1 Mathematical Modelling of Electrical ... cs  4  winter OS DrEx   yes
FEKT-DME1 Microelectronic Systems cs  4  winter OS DrEx   yes
FEKT-DTK1 Modern network technologies cs  4  winter OS DrEx   yes
FEKT-DRE1 Modern electronic circuit design cs  4  winter OS DrEx   yes
FEKT-DFY1 Junctions and nanostructures cs  4  winter OS DrEx   yes
FEKT-DTE1 Special Measurement Methods cs  4  winter OS DrEx   yes
FEKT-DMA1 Statistics, Stochastic Processes, Ope... cs  4  winter OS DrEx   yes
FEKT-DAM1 Selected chaps from automatic control cs  4  winter OS DrEx   yes
FEKT-DVE1 Selected problems from power electron... cs  4  winter OS DrEx   yes
FEKT-DBM1 Advanced methods of processing and an... cs  4  winter OS DrEx   yes

General knowledge
FEKT-DJA6 English for post-graduates cs  4  winter GK DrEx   yes
FEKT-DRIZ Solving of innovative tasks cs  2  winter GK DrEx   yes
FEKT-DEIZ Scientific publishing A to Z cs  2  winter GK DrEx   yes
 


Year of study 1, summer semester

Code Title L. Cr. Sem. Com. Compl. Gr. Op.

Optional specialized
FEKT-DTK2 Applied cryptography cs  4  summer OS DrEx   yes
FEKT-DMA2 Discrete Processes in Electrical Engi... cs  4  summer OS DrEx   yes
FEKT-DME2 Microelectronic technologies cs  4  summer OS DrEx   yes
FEKT-DRE2 Modern digital wireless communication cs  4  summer OS DrEx   yes
FEKT-DTE2 Numerical Computations with Partial D... cs  4  summer OS DrEx   yes
FEKT-DFY2 Spectroscopic methods for non-destruc... cs  4  summer OS DrEx   yes
FEKT-DET2 Selected diagnostic methods, reliabil... cs  4  summer OS DrEx   yes
FEKT-DAM2 Selected chaps from measuring techniques cs  4  summer OS DrEx   yes
FEKT-DBM2 Selected problems of biomedical engin... cs  4  summer OS DrEx   yes
FEKT-DEE2 Selected problems of electricity prod... cs  4  summer OS DrEx   yes
FEKT-DVE2 Topical Issues of Electrical Machines... cs  4  summer OS DrEx   yes

General knowledge
FEKT-DJA6 English for post-graduates cs  4  summer GK DrEx   yes
FEKT-DCVP Quotations in a research work cs  2  summer GK DrEx   yes
FEKT-DRIZ Solving of innovative tasks cs  2  summer GK DrEx   yes
 


Year of study 1, both

Code Title L. Cr. Sem. Com. Compl. Gr. Op.

Compulsory
FEKT-DQJA English for the state doctoral exam cs  4  both C DrEx   yes