Gurantor department | Department of Applied Mathematics | Credits | 6 |

Subject guarantor | doc. Ing. Dalibor Lukáš, Ph.D. | Subject version guarantor | doc. Ing. Dalibor Lukáš, Ph.D. |

Study level | undergraduate or graduate | Requirement | Optional |

Year | Semester | winter | |

Study language | Czech | ||

Year of introduction | 2010/2011 | Year of cancellation | |

Intended for the faculties | FEI | Intended for study types | Bachelor |

Instruction secured by | |||
---|---|---|---|

Login | Name | Tuitor | Teacher giving lectures |

MER126 | Ing. Michal Merta, Ph.D. | ||

POS220 | Ing. Lukáš Pospíšil, Ph.D. |

Extent of instruction for forms of study | ||
---|---|---|

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 2+2 |

Combined | Credit and Examination | 10+10 |

To expand the knowledge of the students using Matlab by concepts that are important in understanding of modern methods used in informatics and numerical solution of engineering problems.

Lectures

Tutorials

Project work

Advanced concepts of linear algenra are key ingredients in solving of many engineering problems such as signal analysis, implemetation of search engins, optimal control or numerical solution of differential equations. In this course, the students can expand their knowledge of linear algebra using Matlab by working knowledge of concepts that are important in understanding of modern methods used in informatics and numerical solution of engineering problems with a special stress on matrix decompositions and the spectral theory.

G. Strang, Linear Algebra and its Application, Academic Press, New York 1980.
G. H. Golub, and C. van Loan, Matrix Computations, The John Hopkins University Press, London 1989.
L. N. Trefethen and D. Bau, Numerical Linear Algebra, SIAM Philadelphia 1997. ISBN 0-89871-361-7.

L. N. Trefethen and D. Bau, Numerical Linear Algebra, SIAM Philadelphia 1997. ISBN 0-89871-361-7.

Conditions for credit:
Project (minimum 15 points).

There are not defined other requirements for student.

Subject has no prerequisities.

Subject has no co-requisities.

Lectures:
Introduction to MATLAB (overview of toolboxes and functions, help, basic elements, editing of the n-dimensional arrays).
MATLAB programming (control flow statements, 2D and 3D graphics).
Advanced MATLAB functions (graphical user interface).
Analytic geometry (computation of the inclinations and distances in 2D and 3D).
Sparse matrix structures (band, profile, row compressed, column compressed).
Solution of the linear algebraic systems (nonsingular, underdetermined and overdetermined systems).
Gauss elimination (row and column versions, pivotization).
LU and Choleski decomposition (row and column versions, pivotization).
Reordering algorithms (SYMAMD, COLAMD, SLOAN, RCM).
QR decomposition (Givens and Householder transforms).
Eigenvalues and spectral decomposition (QR and LR algorithms, shift).
Singular decomposition, pseudoinverse.
Lanczos method and conjugate gradient method.
Project presentation.
Exercises:
Introduction to MATLAB, functions overview, editing of the n-dimensional arrays.
MATLAB programming techniques, the use of the control flow statements, 2D and 3D graphic functions).
Graphical user interface implementation.
Computation of the inclinations and distances in 2D and 3D).
Sparse matrix structures implementation (band, profile, row compressed, column compressed).
Solvers of the linear algebraic systems (nonsingular, underdetermined and overdetermined systems).
Solution of the linear algebraic system using Gauss elimination (row and column versions, pivotization).
Solution of the linear algebraic system using LU and Choleski decomposition (row and column versions, pivotization).
Application of the reordering algorithms (SYMAMD, COLAMD, SLOAN, RCM).
The use of the QR decomposition (implementation, Givens and Householder transforms, applications).
Computation of the eigenvalues and spectral decomposition (implementation, QR and LR algorithms, shift, applications).
Computation of the singular decomposition and pseudoinverse (implementation, application).
Lanczos method and conjugate gradient method (implementation, applications).
Project presentation.
Projects:
Application oriented project in MATLAB (max. 30 points).

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
---|---|---|---|

Exercises evaluation and Examination | Credit and Examination | 100 | 51 |

Exercises evaluation | Credit | ||

Examination | Examination |

Show history

Academic year | Programme | Field of study | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2019/2020 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2019/2020 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2018/2019 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2018/2019 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2017/2018 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2017/2018 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2016/2017 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2016/2017 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2015/2016 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2015/2016 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2014/2015 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2014/2015 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2013/2014 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2013/2014 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2012/2013 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2012/2013 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2011/2012 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2011/2012 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2010/2011 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2010/2011 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2010/2011 | (N2647) Information and Communication Technology | (2612T025) Computer Science and Technology | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (B2649) Electrical Engineering | (2601R004) Measurement and Control Engineering | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (B2649) Electrical Engineering | (2602R014) Applied and Commercial Electronics | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (B2649) Electrical Engineering | (3901R039) Biomedical Technician | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (B2649) Electrical Engineering | (3907R001) Electrical Power Engineering | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (B2647) Information and Communication Technology | (2601R013) Telecommunication Technology | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (B2647) Information and Communication Technology | (2612R025) Computer Science and Technology | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (B2647) Information and Communication Technology | (2612R059) Mobile Technology | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (N2647) Information and Communication Technology | (2601T013) Telecommunication Technology | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (N2647) Information and Communication Technology | (2612T059) Mobile Technology | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (N2649) Electrical Engineering | (2601T004) Measurement and Control Engineering | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (N2649) Electrical Engineering | (2612T015) Electronics | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (N2649) Electrical Engineering | (3901T009) Biomedical Engineering | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan | ||||

2010/2011 | (N2649) Electrical Engineering | (3907T001) Electrical Power Engineering | (01) Exchange Students | P | Czech | Ostrava | Optional | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner | |
---|---|---|---|---|---|---|---|---|---|

V - ECTS - bc. | 2011/2012 | Full-time | Czech | Optional | 401 - Study Office | stu. block |