Gurantor department | Department of Mathematics |

Subject guarantor | RNDr. Zbyněk Urban, Ph.D. |

Study level | undergraduate or graduate |

Subject version | |||
---|---|---|---|

Version code | Year of introduction | Year of cancellation | Credits |

230-0201/01 | 2018/2019 | 2020/2021 | 5 |

230-0201/02 | 2018/2019 | 2020/2021 | 6 |

230-0201/03 | 2018/2019 | 2020/2021 | 7 |

230-0201/04 | 2018/2019 | 2020/2021 | 7 |

230-0201/05 | 2018/2019 | 4 | |

230-0201/06 | 2018/2019 | 2020/2021 | 4 |

230-0201/07 | 2019/2020 | 6 | |

230-0201/08 | 2019/2020 | 6 | |

230-0201/09 | 2019/2020 | 6 | |

230-0201/10 | 2019/2020 | 6 | |

230-0201/11 | 2019/2020 | 6 | |

230-0201/12 | 2019/2020 | 6 | |

230-0201/13 | 2025/2026 | 6 |

Mathematics is an essential part of education on technical universities. It should be considered rather the method in the study of technical courses than a goal. Thus the goal of mathematics is train logical reasoning than mere list of mathematical notions, algorithms and methods.
Students should learn how to
analyse problems,
distinguish between important and unimportant,
suggest a method of solution,
verify each step of a method,
generalise achieved results,
analyse correctness of achieved results with respect to given conditions,
apply these methods while solving technical problems,
understand that mathematical methods and theoretical advancements outreach the field mathematics.

Lectures

Individual consultations

Tutorials

Other activities

Mathematics I is connected with secondary school education. It is divided in three parts, differential calculus of functions of one real variable, linear algebra and analytic geometry in the three dimensional Euclidean space E3. The aim of the first chapter is to handle the concept of a function and its properties, a limit of functions, a derivative of functions and its application. The second chapter emphasizes the systems of linear equations and the methods of their solution. The third chapter introduces the basics of vector calculus and basic linear objects in three dimensional space.

Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3, http://mdg.vsb.cz/portal/en/Mathematics1.pdf.
Trench, W.F.: Introduction to real analysis, Free Edition 1.06, January 2011, ISBN 0-13-045786-8.

Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990, ISBN 0-669-21145-1.

Subject has no prerequisities.

Subject has no co-requisities.