Description:

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.

Contents:

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

Seminar contents:

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

Recommended 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.

Abbreviations used:

Semester:

• W ... winter semester (usually October - February)
• S ... spring semester (usually March - June)
• W,S ... both semesters

Mode of completion of the course:

• A ... Assessment (no grade is given to this course but credits are awarded. You will receive only P (Passed) of F (Failed) and number of credits)
• GA ... Graded Assessment (a grade is awarded for this course)
• EX ... Examination (a grade is awarded for this course)
• A, EX ... Examination (the award of Assessment is a precondition for taking the Examination in the given subject, a grade is awarded for this course)

Weekly load (hours per week):

• P ... lecture
• C ... seminar
• L ... laboratory
• R ... proseminar
• S ... seminar