# Subject description - AE2B99MAA

Summary of Study |
Summary of Branches |
All Subject Groups |
All Subjects |
List of Roles |
Explanatory Notes
Instructions

vectors, basic operations, complex numbers.

graphics, 3D Graphics, data import and export.

transmission lines (transient effects, pulse propagation, lossy transmission lines).

AE2B99MAA | Mathematical Applications | Extent of teaching: | 2+2c | ||
---|---|---|---|---|---|

Guarantors: | Roles: | P,V | Language of teaching: | EN | |

Teachers: | Completion: | KZ | |||

Responsible Department: | 13131 | Credits: | 4 | Semester: | L |

**Anotation:**

**Study targets:**

**Course outlines:**

1. | Programs for solving mathematical problems, introducing to Maple worksheet, basic Maple commands, handling with numbers, term and function definition. | |

2. | Introduction to Maple: solving equation, function plotting, basic programming. | |

3. | Using Maple in the differential and integral calculus of functions of one variable. | |

4. | Using Maple in linear algebra - matrix algebra, solving systems of linear equations. | |

5. | Using Maple for the functions of complex variables - complex numbers, elementary functions and multivalued. | |

6. | Introduction to MATLAB; help, matrices, vectors, scalars, indexing matrices and |

7. | Graphical representation of data in MATLAB; tools for plotting, printing and exporting |

8. | Signals with MATLAB; convolution, correlation, filtering, spectral analysis. | |

9. | Scripts and Functions in MATLAB; program flow, user defined functions. | |

10. | Electromagnetics with MATLAB; electrostatic and magnetostatic fields, wave propagation, |

11. | Developing of user applications. | |

12. | PraCAn package - the possibility of electrical circuits analysis in Maple. | |

13. | Reserve |

**Exercises outline:**

1. | Environment of Maple program (Maple Classic Worksheet, Maple Standard Worksheet), elementary calculations. | |

2. | Polynomials, rational functions, the roots of polynomial and equations system, plotting of functions, solving of individual tasks using Maple. | |

3. | Solution of differential and integral calculus of one variable. | |

4. | TEST. Solution of linear algebra. | |

5. | Functions of complex variables - basic arithmetic operations and standard functions, examples. | |

6. | TEST. | |

7. | Matlab command line; basic operation, sinusoidal signal generation. TEST. | |

8. | Data import and export, plotting, sounding. | |

9. | Signal filtering and plotting in frequency domain. TEST. | |

10. | Writing scripts and m-files for signal processing in time domain. | |

11. | Visualization of wave propagation along transmission line. TEST. | |

12. | Virtual piano design. | |

13. | Analysis of electric circuits by PraCAn package - solving of resistance circuits, harmonic steady state and transient analysis. | |

14. | TEST. Credits. |

**Literature:**

[1] | Heck, A.: Introduction to Maple, 2nd ed., Springer-Verlag, Berlin, 1996 | |

[2] | Maple Getting Started Guide, Waterloo Maple Inc. | |

[3] | Char, B.W.: Maple Learning Guide, Waterloo Maple Inc. | |

[4] | Monagan, M.B., Geddes, K.O., a kol.: Maple Inroductory Programming Guide, Waterloo Maple Inc. | |

[5] | , S.Lang: Complex Analysis, Springer-Verlag, 1993. | |

[6] | Etter,D.M.: Engineering Problem Solving with MATLAB (2nd Edition), Prentice Hall,1996. |

**Requirements:**

**Webpage:**

**Subject is included into these academic programs:**

Program | Branch | Role | Recommended semester |

BEEEM1 | Applied Electrical Engineering | V | 2 |

BEEEM_BO | Common courses | V | 2 |

BEEEM2 | Electrical Engineering and Management | V | 2 |

BEKME1 | Communication Technology | P | 2 |

BEKME5 | Komunikace a elektronika | P | 2 |

BEKME_BO | Common courses | P | 2 |

BEKME4 | Network and Information Technology | P | 2 |

BEKME3 | Applied Electronics | P | 2 |

BEKME2 | Multimedia Technology | P | 2 |

BEKYR1 | Robotics | V | 2 |

BEKYR_BO | Common courses | V | 2 |

BEKYR3 | Systems and Control | V | 2 |

BEKYR2 | Sensors and Instrumentation | V | 2 |

BEOI1 | Computer Systems | V | 2 |

BEOI_BO | Common courses | V | 2 |

BEOI3 | Software Systems | V | 2 |

BEOI2 | Computer and Information Science | V | 2 |

Page updated 20.6.2019 15:53:00, semester: Z,L/2020-1, L/2018-9, Z,L/2019-20, Send comments about the content to the Administrators of the Academic Programs | Proposal and Realization: I. Halaška (K336), J. Novák (K336) |