Gurantor department | Department of Mathematics | Credits | 6 |

Subject guarantor | Mgr. Kateřina Kozlová, Ph.D. | Subject version guarantor | RNDr. Jana Volná, 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 | FBI | Intended for study types | Bachelor |

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

Login | Name | Tuitor | Teacher giving lectures |

CER365 | doc. Ing. Martin Čermák, Ph.D. | ||

PAL39 | RNDr. Radomír Paláček, Ph.D. | ||

VOL18 | RNDr. Jana Volná, Ph.D. |

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

Form of study | Way of compl. | Extent |

Combined | Credit and Examination | 24+0 |

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 functions of one real variable, the derivation of a
function of one variable. Derivations of higher orders. Investigating the
behaviour of functions. Antiderivative and the indefinite integral, some
properties, elementary methods of integration. Linear algebra: Arithmetic
vectors, matrices, determinants, systems of linear algebraic equations.

[1] Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3
[2] http://mdg.vsb.cz/portal/en/Mathematics1.pdf

[1] Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications. D.C.Heath and
Company, Lexington1990, ISBN 0-669-21145-1
[2] James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992.
ISBN 0-201-1805456
[3] James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993. ISBN 0-201-56519-6

http://mdg.vsb.cz/portal/en/Mathematics1.pdf

No more requirements are put on the student.

Subject has no prerequisities.

Subject has no co-requisities.

Functions of one real variable
Definitions and basic properties, elementary functions, limit of the function, continuity of the functions , basic rules.
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, higher-order derivative, applications of the derivatives, monotonic functions and extremes of function, convexity and concavity of a function.
Linear algebra and analytical geometry
Matrix (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 | |
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2019/2020 | (B3908) Fire Protection and Industrial Safety | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B3908) Fire Protection and Industrial Safety | K | Czech | Praha | 1 | Compulsory | study plan | ||||

2019/2020 | (B3908) Fire Protection and Industrial Safety | K | Czech | Lázně Bohdaneč | 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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