Gurantor department | Department of Applied Mathematics | Credits | 7 |

Subject guarantor | doc. Ing. Petr Beremlijski, Ph.D. | Subject version guarantor | doc. Ing. Petr Beremlijski, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 2019/2020 | Year of cancellation | |

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

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

Login | Name | Tuitor | Teacher giving lectures |

BER95 | doc. Ing. Petr Beremlijski, Ph.D. | ||

ULC0011 | Ing. David Ulčák |

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 | 12+12 |

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

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:
4 tests on solution of linear systems, matrix algebra, vector spaces, linear mapping and multilinear algebra (max 24m, min 10m)
Project (max 6m, min 0m)
Conditions for credit:
Minimum 10 marks on tests and project.

https://homel.vsb.cz/~ber95/LA_VAM/la.htm

No additional requirements are imposed on the student.

Subject has no prerequisities.

Subject has no co-requisities.

Lectures:
An introduction to matrix calculus
Solution of systems of linear equations
Inverse matrices and LU factorization
Vector spaces and subspaces
Basis and dimension of vector spaces
Linear mapping
Bilinear and quadratic forms
Scalar product
Determinants
Eigenvalues and eigenvectors
Linear algebra applications
Exercises:
Practicing algebra of arithmetic vectors and matrices
Solution of systems of linear equations
Evaluation of inverse matrix
LU factorization
Examples of vector spaces and deduction from axioms
Evaluation of coordinates of a vector in a given basis
Examples of linear mappings and evaluation of their matrices
Matrices of bilinear and quadratic forms
Orthogonalization process
Evaluation of determinants
Evaluation of eigenvalues and eigenvectors

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

Credit and Examination | Credit and Examination | 100 (100) | 51 |

Credit | Credit | 30 (30) | 10 |

Projekt | Project | 20 | 0 |

Písemná práce | Written test | 10 | 0 |

Examination | Examination | 70 | 21 |

Show history

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

2021/2022 | (B0588A170003) Applied Sciences and Technologies | MAT | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2021/2022 | (B0541A170008) Computational and Applied Mathematics | AM | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2021/2022 | (B0541A170008) Computational and Applied Mathematics | AM | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2020/2021 | (B0588A170003) Applied Sciences and Technologies | MAT | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2020/2021 | (B0541A170008) Computational and Applied Mathematics | AM | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2020/2021 | (B0541A170008) Computational and Applied Mathematics | AM | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0541A170008) Computational and Applied Mathematics | AM | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0541A170008) Computational and Applied Mathematics | AM | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0588A170003) Applied Sciences and Technologies | MAT | P | 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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