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

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

Study level | undergraduate or graduate | Requirement | Choice-compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 1999/2000 | Year of cancellation | 2009/2010 |

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

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

Login | Name | Tuitor | Teacher giving lectures |

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

KOZ75 | prof. Ing. Tomáš Kozubek, Ph.D. | ||

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

SIN29 | RNDr. Libor Šindel | ||

VOD03 | doc. Mgr. Petr Vodstrčil, Ph.D. | ||

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

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

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

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 2+4 |

Part-time | Credit and Examination | 2+4 |

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)
Semestral project
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:
Solution of systems of linear equations by elimination
Algebra aof arithmetic vectors and matrices
Inverse matrices
Vekctor space
Vector spaces of functions
Derivation and definite integral of piecewise linear functions
Linear mapping
Bilinear and quadratic forms
Determinants
Eigenvalues and eigenvectors
An introduction to analytic geometry
Exercises:
Solution of systems of linear equations
Practicing algebra of arithmetic vectors and matrices
Evaluation of inverse matrix
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
Mtrices 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 |
---|---|---|---|

Exercises evaluation and Examination | Credit and Examination | 100 (145) | 51 |

Examination | Examination | 100 | 0 |

Exercises evaluation | Credit | 45 | 0 |

Show history

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

2008/2009 | (B2646) Information Technology | (1103R021) Computation Mathematics | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2008/2009 | (B2646) Information Technology | (2612R025) Computer Science and Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B2646) Information Technology | (2612R025) Computer Science and Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B2646) Information Technology | (2612R025) Computer Science and Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B2646) Information Technology | (2612R059) Mobile Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B2646) Information Technology | (2612R059) Mobile Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B2646) Information Technology | (2612R025) Computer Science and Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B2646) Information Technology | (2612R025) Computer Science and Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B2646) Information Technology | (2612R059) Mobile Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B2646) Information Technology | (2612R059) Mobile Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2005/2006 | (B2646) Information Technology | (2612R025) Computer Science and Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2005/2006 | (B2646) Information Technology | (2612R025) Computer Science and Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2005/2006 | (B2646) Information Technology | (2612R059) Mobile Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2005/2006 | (B2646) Information Technology | (2612R059) Mobile Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2004/2005 | (B2646) Information Technology | (2612R025) Computer Science and Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2004/2005 | (B2646) Information Technology | (2612R025) Computer Science and Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2004/2005 | (B2646) Information Technology | (2612R059) Mobile Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2004/2005 | (B2646) Information Technology | (2612R059) Mobile Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2003/2004 | (B2646) Information Technology | (1103R021) Computation Mathematics | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2003/2004 | (B2646) Information Technology | (2612R025) Computer Science and Technology | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2003/2004 | (B2646) Information Technology | (2612R025) Computer Science and Technology | K | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2003/2004 | (B2646) Information Technology | (1103R021) Computation Mathematics | K | Czech | Ostrava | 1 | Choice-compulsory | study plan |

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