Gurantor department | Department of Applied Mathematics | Credits | 8 |

Subject guarantor | doc. Mgr. Vít Vondrák, Ph.D. | Subject version guarantor | doc. Mgr. Vít Vondrák, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 2006/2007 | Year of cancellation | 2009/2010 |

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

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

Login | Name | Tuitor | Teacher giving lectures |

DOS35 | prof. RNDr. Zdeněk Dostál, DSc. | ||

KUR138 | Ing. Pavlína Forstová Kuráňová, Ph.D. | ||

KAB002 | Ing. Pavla Hrušková, Ph.D. | ||

JAH02 | RNDr. Pavel Jahoda, Ph.D. | ||

KOT237 | Ing. Petr Kotas | ||

KRA557 | Ing. Martin Kramář | ||

LIT40 | Ing. Martina Litschmannová, Ph.D. | ||

LUK76 | doc. Ing. Dalibor Lukáš, Ph.D. | ||

MEN060 | Ing. Martin Menšík | ||

MOC017 | Ing. Lukáš Mocek | ||

PRA76 | Ing. Pavel Praks, Ph.D. | ||

SIN29 | RNDr. Libor Šindel | ||

VLA04 | Ing. Oldřich Vlach, Ph.D. | ||

VON15 | doc. Mgr. Vít Vondrák, Ph.D. | ||

S1A64 | RNDr. Petra Vondráková, Ph.D. | ||

ZDR060 | Ing. Adam Zdráhala |

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

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 3+3 |

Part-time | Credit and Examination | 15+15 |

To supply working knowledge of basic concepts of linear algebra including their geometric and computational meaning, in order to enable to use these concepts in solution of basic problems of linear algebra. Student should also learn how to use the basic tools of linear algebra in applications.

Lectures

Tutorials

Project work

Linear algebra is one of the basic tools of formulation and solution of engineering problems. The students will get in an elementary way basic concepts and comutational skills of linear algebra, including algorithmic aspects that are important in computer implementation.

H. Anton, Elementary Linear Algebra, J. Wiley , New York 1991.

S. Barnet, Matrices, Methods and Applications, Clarendon Press, Oxford 1994
H. Schnaider, G. P. Barker, Matrices and Linear Algebra, Dover, New York 1989

Verification of study:
Test on solution of linear systems and matrix algebra (max 8m)
Test on vector spaces, linear mapping and multilinear algebra (max 7m)
Homeworks (15m)
Conditions for credit:
Minimum 15 marks on tests and the homeworks.
Submition of solved semestral project.

Subject has no prerequisities.

Subject has no co-requisities.

Lectures:
An introduction to matrix calculus
Solution of systems of linear equations
Inverse matrices
LU factorization
Vector spaces and subspaces
Basis and dimension of vector spaces
Linear mapping
Derivation and definite integral of piecewise linear functions
Bilinear and quadratic forms
Determinants
Eigenvalues and eigenvectors
An introduction to analytic geometry
Exercises:
Computing with complex numbers
Practicing algebra of arithmetic vectors and matrices
Solution of systems of linear equations
Evaluation of inverse matrix
LU factorization and solution of systems of linear eq.
Examples of vector spaces and deduction from axioms
Evaluation of coordinates of a vector in a given basis
Examples of functional spaces
Examples of linear mappings and evaluation of their matrices
Matrices of bilinear and quadratic forms
Evaluation of determinants
Evaluation of eigenvalues and eigenvectors
Computational examples from analytic geometry

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

Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 | 3 |

Examination | Examination | 70 | 0 | 3 |

Exercises evaluation | Credit | 30 (30) | 15 | 1 |

DÚ 1 | Project | 4 | 0 | |

DÚ 2 | Project | 4 | 0 | |

DÚ 3 | Project | 4 | 0 | |

DÚ 4 | Project | 3 | 0 | |

Test | Written test | 15 | 0 | |

Projekt | Semestral project |

Show history

Conditions for subject completion and attendance at the exercises within ISP:

Show history

Academic year | Programme | Branch/spec. | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2009/2010 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2009/2010 | (B2647) Information and Communication Technology | (2601R013) Telecommunication Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2009/2010 | (B2647) Information and Communication Technology | (2612R025) Computer Science and Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2009/2010 | (B2647) Information and Communication Technology | (2612R059) Mobile Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2009/2010 | (B2647) Information and Communication Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2009/2010 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2009/2010 | (B2647) Information and Communication Technology | (2601R013) Telecommunication Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2009/2010 | (B2647) Information and Communication Technology | (2612R025) Computer Science and Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2009/2010 | (B2647) Information and Communication Technology | (2612R059) Mobile Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2009/2010 | (B2647) Information and Communication Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2008/2009 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2008/2009 | (B2647) Information and Communication Technology | (2601R013) Telecommunication Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2008/2009 | (B2647) Information and Communication Technology | (2612R025) Computer Science and Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2008/2009 | (B2647) Information and Communication Technology | (2612R059) Mobile Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2008/2009 | (B2647) Information and Communication Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2008/2009 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2008/2009 | (B2647) Information and Communication Technology | (2601R013) Telecommunication Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2008/2009 | (B2647) Information and Communication Technology | (2612R025) Computer Science and Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2008/2009 | (B2647) Information and Communication Technology | (2612R059) Mobile Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2008/2009 | (B2647) Information and Communication Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2007/2008 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B2647) Information and Communication Technology | (2601R013) Telecommunication Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B2647) Information and Communication Technology | (2612R025) Computer Science and Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B2647) Information and Communication Technology | (2612R059) Mobile Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B2647) Information and Communication Technology | (2601R013) Telecommunication Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B2647) Information and Communication Technology | (2612R025) Computer Science and Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B2647) Information and Communication Technology | (2612R059) Mobile Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B2647) Information and Communication Technology | (2601R013) Telecommunication Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B2647) Information and Communication Technology | (2612R025) Computer Science and Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B2647) Information and Communication Technology | (2612R059) Mobile Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B2647) Information and Communication Technology | (2601R013) Telecommunication Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B2647) Information and Communication Technology | (2612R025) Computer Science and Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B2647) Information and Communication Technology | (2612R059) Mobile Technology | K | Czech | Ostrava | 1 | Compulsory | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner |
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2009/2010 Winter |