Mathematical Applications

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Electrical Power Engineering

Synopsis:

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.

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.

Syllabus of lectures:

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

Syllabus of tutorials:

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

Study Objective:

Study materials:

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.

Note:

Further information:

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

No time-table has been prepared for this course

The course is a part of the following study plans:

• Electrical Engineering and Computer Science (EECS) (compulsory course in the program)
• Electrical Engineering and Computer Science (EECS) (compulsory course in the program)