Subject description - AE1B15MAA

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AE1B15MAA Mathematic Applications
Roles:  Extent of teaching:3+2c
Department:13115 Language of teaching:CS
Guarantors:  Completion:Z,ZK
Lecturers:  Credits:6
Tutors:  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 power engineering. Student becomes acquainted with technical methods for gathering and data analysis, SW and HW hierarchy of resources and applications examples. Student will acquire basic knowledge about MATLAB, MATHEMATICA and mathematical model assessment. Student becomes also acquainted with the fields of complex variable function and numerical methods for solving algebraic and differential equations.

Course outlines:

1. Introduction to the complex variable function.
2. Integral transform, Laplace transform for linear systems description.
3. Possibilities of application computing methods in Power Engineering.
4. Creating mathematical models of technical systems.
5. Application of computing methods in Power Engineering.
6. Potential of MATLAB and Mathematica, selection criteria.
7. Mathematica for simple calculus.
8. Mathematica as programming language.
9. Data processing in Mathematica.
10. Power engineering models implementation in Mathematice.
11. Creating simple programs in MATLAB.
12. Using libraries at MATLAB.
13. Simulink and its usage.
14. Energetic system models in Simulink.

Exercises outline:

1. Mathematica: basic syntax.
2. Mathematica: solving equations and equation systems, electric circuits solution examples.
3. Mathematica: Plot, ListPlot, Plot3D.
4. Mathematica: List, Rule, ReplaceAll.
5. Mathematica: DSolve a NDSolve, transient phenomena.
6. Mathematica: Fit a NonlinearFit, regression examples of physics dependencies.
7. Mathematica: Nest, NestList, NestWhileList, numeric methods for differential equations.
8. Mathematica: Module, NMinimize, optimalization examples in power engineering systems.
9. MATLAB: basics, syntax, matrix operations.
10. MATLAB: functions, graphic output.
11. MATLAB: ODE.
12. MATLAB Simulink: examples of power engineering systems simulations.
13. MATLAB Simulink: Toolboxes pro power engineering.
14. MATLAB Simulink: Toolboxes pro power engineering.

Literature:

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


Page updated 28.3.2024 17:52:49, semester: Z/2023-4, Z/2024-5, L/2023-4, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)