Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 5 |

Subject guarantor | doc. RNDr. Jaroslav Vlček, CSc. | Subject version guarantor | doc. RNDr. Jaroslav Vlček, CSc. |

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 | FMT, FEI, HGF, USP | Intended for study types | Bachelor |

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

Login | Name | Tuitor | Teacher giving lectures |

KRC76 | Mgr. Jiří Krček | ||

VLC20 | doc. RNDr. Jaroslav Vlček, CSc. |

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

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 3+2 |

Part-time | Credit and Examination | 18+0 |

The goal of mathematics is train logical reasoning than mere list of mathematical notions, algorithms and methods.
Students should learn how to
analyze problems,
distinguish between important and unimportant,
suggest a method of solution and verify each step of an algorithm,
generalize achieved results,
analyze correctness of results with respect to given conditions,
apply these methods while solving technical problems.

Lectures

Tutorials

Project work

The topic is the middle part of basic three-semester mathematical course in bachelor degree. s the main goal, there is to build compact system of basic knowledge in algebraic equations and its systems in the frame of finite-dimensional linear spaces. Obtained knowledge will be applied in connected themes as vector algebra and analytical geometry.

Doležalová, J.: Mathematics I, VŠB-TUO, Ostrava, 2005
Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company, 1990

Leon, S. J.: Linear Algebra with Applications. MACMILLAN New York, 1980,
ISBN 0-02-369810

Course-credit (10-30 points):
- participation on tutorials is obligatory, 20% of absence can be apologized
- pass two written tests ... 10 + 10 p.
- semestral project ... 10 p.
Exam (0-70 p.):
- praktical part ... 50 p.
- theoretical part ... 20 p.

Absolving two tests (0-10 p.).

Subject has no prerequisities.

Subject has no co-requisities.

1. Complex numbers.
2. Polynomials and algebraic equations.
3. Linear spaces – part 1.: linear independence, dimension, basis.
4. Matrix algebra.
5. Rank of matrix, systems of linear equations.
6. Determinants, inverse matrix, matrix equations.
7. Linear spaces – part 2: linear mapping, fundaments of spectral theory.
8. Linear, bilinear and quadratic forms.
9. Spaces with scalar product.
10. Vector algebra.
11. Analytical geometry of linear objects.
12. Classification of conics.
13. Quadric surfaces.
14. Reserve.

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 | 10 |

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 | (B0719A270001) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2020/2021 | (B0719A270001) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2019/2020 | (B0719A270001) Nanotechnology | 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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