Branch Details
Mathematics in Electrical Engineering
Original title in Czech: Matematika v elektroinženýrstvíFEKTAbbreviation: PP-MVEAcad. year: 2015/2016
Programme: Electrical Engineering and Communication
Length of Study: 4 years
Accredited from: 25.7.2007Accredited until: 31.12.2020
Profile
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.
Guarantor
Issued topics of Doctoral Study Program
- Modelling of processes by systems input-output and neural networks
In the project will be studied input-output systems with structured input and output objects. In the connection with multiautomata considered as actions of binary hyperstructures on suitable state objects will be constructed structures apllied onto investigation of transformations of signals and processes in the connection with construction of trransfer neural networks.
- Modelling of processes by systems input-output and neural networks
In the project will be studied input-output systems with structured input and output objects. In the connection with multiautomata considered as actions of binary hyperstructures on suitable state objects will be constructed structures apllied onto investigation of transformations of signals and processes in the connection with construction of trransfer neural networks.
- Semianalytical solution methods for fractional functional differential equations
The aim of the doctoral thesis is to propose modifications of advanced semianalytical solution methods as, for example, the differential transformation method or homotopy perturbation methods for solving of initial value problems and boundary problems of fractional functional differential equations including partial differential equations with applications in control theory.
- Topological methods and properties in mathematical information and causal structures
The dissertation will be focused on the study and development of certain suitable topological methods for the work with the mathematical structures, carrying some information.The research will be concentrated especially on the properties and the relationships of causal character. Possible applications are, among others, e.g. in computer science (concurrent and parallel processes), cybernetics, quantum information theory and physics (some aspects of general relativity versus quantum gravity).
Course structure diagram with ECTS credits
Abbreviation | Title | L. | Cr. | Com. | Compl. | Hr. range | Gr. | Op. |
---|---|---|---|---|---|---|---|---|
DTK2 | Applied cryptography | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DET1 | Electrotechnical materials, material systems and production processes | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DEE1 | Mathematical Modelling of Electrical Power Systems | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DME1 | Microelectronic Systems | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DRE1 | Modern electronic circuit design | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DFY1 | Junctions and nanostructures | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DTE1 | Special Measuring Methods | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DAM1 | Selected chaps from automatic control | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DVE1 | Selected problems from power electronics and electrical drives | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DBM1 | Advanced methods of processing and analysis of images | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DJA6 | English for post-graduates | cs | 4 | General knowledge | DrEx | Cj - 26 | yes | |
DMA1 | Statistics, Stochastic Processes, Operations Research | cs | 4 | General knowledge | DrEx | S - 39 | yes | |
DEIZ | Scientific publishing A to Z | cs | 2 | General knowledge | DrEx | S - 8 | yes |
Abbreviation | Title | L. | Cr. | Com. | Compl. | Hr. range | Gr. | Op. |
---|---|---|---|---|---|---|---|---|
DME2 | Microelectronic technologies | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DRE2 | Modern digital wireless communication | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DTK1 | Modern network technologies | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DTE2 | Numerical Computations with Partial Differential Equations | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DFY2 | Spectroscopic methods for non-destructive diagnostics | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DET2 | Selected diagnostic methods, reliability and quality | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DAM2 | Selected chaps from measuring techniques | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DBM2 | Selected problems of biomedical engineering | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DEE2 | Selected problems of electricity production | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DVE2 | Topical Issues of Electrical Machines and Apparatus | cs | 4 | Optional specialized | DrEx | S - 39 | yes | |
DJA6 | English for post-graduates | cs | 4 | General knowledge | DrEx | Cj - 26 | yes | |
DMA2 | Discrete Processes in Electrical Engineering | cs | 4 | General knowledge | DrEx | S - 39 | yes | |
DEIZ | Scientific publishing A to Z | cs | 2 | General knowledge | DrEx | S - 8 | yes |
Abbreviation | Title | L. | Cr. | Com. | Compl. | Hr. range | Gr. | Op. |
---|---|---|---|---|---|---|---|---|
DQJA | English for the state doctoral exam | cs | 4 | Compulsory | DrEx | yes |