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

Subject guarantor | Mgr. Jakub Stryja, Ph.D. | Subject version guarantor | Mgr. Jakub Stryja, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 2014/2015 | Year of cancellation | 2019/2020 |

Intended for the faculties | FBI | Intended for study types | Follow-up Master |

Instruction secured by | |||
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Login | Name | Tuitor | Teacher giving lectures |

STR78 | Mgr. Jakub Stryja, Ph.D. |

Extent of instruction for forms of study | ||
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Form of study | Way of compl. | Extent |

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

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

Individual consultations

Tutorials

Project work

Double and triple integrals and their applications. Line integral and its
applications. Infinite series, power series.

Kučera, Radek: Mathematics III, VŠB – TUO, Ostrava 2005, ISBN 80-248-0802-1

Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990
James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992.
ISBN 0-201-1805456

No more requirements are put on the student.

Subject has no prerequisities.

Subject has no co-requisities.

1 Integral calculus of functions of several independent variables. Two-dimensional integrals on coordinate rectangle, on bounded subset of R2.
2 Transformation two-dimensional integrals.
3 Geometrical and physical applications.
4 Three-dimensional integrals on coordinate cube, on bounded subset of R3. transformation of three-dimensional integrals.
5 Geometrical and physical applications.
6 Line integral of the first and of the second kind.
7 Independence line integral on path, Green´s theorem.
8 Applications.
9 Series. Infinite number series. Definition, sum of a series, necessary convergence condition, harmonic series, geometric series.
10 Convergency tests, ratio test, Cauchy's root test, comparison test, integral test.
11 Alternating series - absolute and conditional convergency, Lebniz test.
12 Power series - convergency interval, radius of convergence, sum of a powerseries.
13 Taylor expansion, applications.
14 Reserve.

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
---|---|---|---|

Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 |

Exercises evaluation | Credit | 20 | 10 |

Examination | Examination | 80 (80) | 31 |

Písemná zkouška | Written examination | 60 | 25 |

Ústní zkouška | Oral examination | 20 | 5 |

Show history

Academic year | Programme | Field of study | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
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2017/2018 | (N3908) Fire Protection and Industrial Safety | (3908T005) Engineering Safety of Persons and Property | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2016/2017 | (N3908) Fire Protection and Industrial Safety | (3908T005) Engineering Safety of Persons and Property | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2015/2016 | (N3908) Fire Protection and Industrial Safety | (3908T005) Engineering Safety of Persons and Property | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2014/2015 | (N3908) Fire Protection and Industrial Safety | (3908T005) Engineering Safety of Persons and Property | 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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