Subject description - BE5B15MAA

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BE5B15MAA Mathematical Applications
Roles:P Extent of teaching:0P+4C
Department:13115 Language of teaching:EN
Guarantors:Kyncl J. Completion:Z,ZK
Lecturers:Kyncl J., Vencovský V., Vítek S. Credits:4
Tutors:Kyncl J., Vencovský V., Vítek S. Semester:L

Web page:

http://www.powerwiki.cz/wiki/VyukaEn

Anotation:

The aim of the course is to obtain knowledge about mathematic programs used in electrical engineering. Student will acquire basic knowledge about MATLAB, MATHEMATICA and mathematical model assessment.

Course outlines:

1. Introduction into Matlab: command prompt and expressions, variables, lists, vectors, matrices, basic operations, complex numbers, basic plotting and graph manipulations, using files
2. Signal processing in Matlab 1: data visualization, filtering, spectral analysis.
3. Signal processing in Matlab 2: convolution, image processing
4. Functions in Matlab 1: control flow statements (conditions, loops, switches), debugging, user defined functions
5. Functions in Matlab 2: advanced functions in Matlab, graphical user interfaces
6. Introduction into Simulink: basic blocks, wiring techniques, examples
7. Introduction into Wolfram Mathematica: basic syntax, help, variables, complex numbers, basic plotting and graph manipulations
8. Principles of procedural, functional and pattern-oriented programming
9. Functions in Mathematica: Blank, Set, SetDelayed, Module
10. Functions in Mathematica: piecewise functions, overloaded functions, tracing the evaluation of functions
11. Creation and manipulation of Lists, functions and Lists: Table, Part, Map, Apply
12. Using Nest and NestList for numerical algorithms, Euler and Runge-Kutta method
13. Examples of advanced use of Mathematica
14. Test

Exercises outline:

1. Introduction into Matlab: command prompt and expressions, variables, lists, vectors, matrices, basic operations, complex numbers, basic plotting and graph manipulations, using files
2. Signal processing in Matlab 1: data visualization, filtering, spectral analysis.
3. Signal processing in Matlab 2: convolution, image processing
4. Functions in Matlab 1: control flow statements (conditions, loops, switches), debugging, user defined functions
5. Functions in Matlab 2: advanced functions in Matlab, graphical user interfaces
6. Introduction into Simulink: basic blocks, wiring techniques, examples
7. Introduction into Wolfram Mathematica: basic syntax, help, variables, complex numbers, basic plotting and graph manipulations
8. Principles of procedural, functional and pattern-oriented programming
9. Functions in Mathematica: Blank, Set, SetDelayed, Module
10. Functions in Mathematica: piecewise functions, overloaded functions, tracing the evaluation of functions
11. Creation and manipulation of Lists, functions and Lists: Table, Part, Map, Apply
12. Using Nest and NestList for numerical algorithms, Euler and Runge-Kutta method
13. Examples of advanced use of Mathematica
14. Test

Literature:

D. Hanselman and B. Littlefield. Mastering MATLAB. Pearson/Prentice Hall, Englewood Cliffs, NJ, 2011.
S. Wolfram: An Elementary Introduction to the Wolfram Language, Second Edition. Wolfram Media, Inc. 2017
Study materials are available at www.powerwiki.cz.

Requirements:

Requirements to obtain the assessment are exercises attendance and a term thesis elaborating. Successful exam passing is determined in the Study and Examination Code of CTU in Prague.

Subject is included into these academic programs:

Program Branch Role Recommended semester
BPEECS_2018 Common courses P 2
BEECS Common courses P 2

Page updated 16.5.2025 17:53:23, semester: Z/2024-5, L/2025-6, Z/2026-7, L/2024-5, L/2026-7, Z/2025-6, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)
Responsible person: prof. Ing. Jiří Jakovenko, Ph.D.