Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 4 |

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

Study level | undergraduate or graduate | ||

Study language | Czech | ||

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

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

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

Login | Name | Tuitor | Teacher giving lectures |

H1O40 | Mgr. Iveta Cholevová, Ph.D. | ||

KOT31 | RNDr. Jan Kotůlek, Ph.D. |

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

Form of study | Way of compl. | Extent |

Combined | Credit and Examination | 13+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

Written test and both practical and theoretical exam

http://mdg.vsb.cz/portal

There are no other requierements.

Subject has no prerequisities.

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

310-2110 | ZM | Basics of Mathematics |

Syllabus of lectures
I. Functions of one real variable
Definitions and basic properties, elementary functions, limit of the function, continuity of the functions, basic rules
II. Differential calculus functions of one real variable
The derivative of function (basic rules for differentiation), derivatives of selected functions, differential of the function, parametric differentiation, highes-order derivative, applications of the derivatives, monotonic functions and extremes of function, convexity and concavity of a function
III. Linear algebra and analytical geometry
Matrice (basic properties), determinants (basic properties, calculation, evaluation), matrix inversion, systems of linear equations, Cramer’s rule, Gaussian elimination, product of vectors (basic properties), analytical geometry in E3

Conditions for completion are defined only for particular subject version and form of study

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

2019/2020 | (B2341) Engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B2341) Engineering | K | Czech | Šumperk | 1 | Compulsory | study plan | ||||

2019/2020 | (B2341) Engineering | K | Czech | Uherský Brod | 1 | Compulsory | study plan |

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