Gurantor department | Department of Mathematics and Descriptive Geometry |

Subject guarantor | RNDr. Jan Kotůlek, Ph.D. |

Study level | undergraduate or graduate |

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

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

714-0366/01 | 1999/2000 | 2011/2012 | 5 |

714-0366/02 | 2000/2001 | 5 | |

714-0366/03 | 2010/2011 | 4 | |

714-0366/04 | 2010/2011 | 4 | |

714-0366/05 | 2016/2017 | 4 |

Mathematics is 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
- analyze problems,
- distinguish between important and unimportant,
- suggest a method of solution,
- verify each step of a method,
- generalize achieved results,
- analyze 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

The subject is divided into four chapters.
In the first chapter we study real functions of one real variable and their properties, in the second chapter we introduce the notion of derivative and study its properties and applications.
In the third chapter we study linear algebra. We introduce Gauss elimination method for solution of systems of linear algebraic equations. In the last chapter we apply it to the geometric problems in three-dimensional Euclidean space.

[1] BIRD, J.: Engineering Mathematics, 4th ed. Newnes 2003.
[2] DOLEŽALOVÁ, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3
[3] NEUSTUPA, J.: Mathematics I., ČVUT, Praha 2004

Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications. D.C.Heath and Company, Lexington 1990, ISBN 0-669-21145-1
James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992. ISBN 0-201-1805456
James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993. ISBN 0-201-56519-6

Subject code | Abbreviation | Title | Requirement |
---|---|---|---|

714-0365 | ZM | Basics of Mathematics | Compulsory |

Subject has no co-requisities.