Gurantor department | Department of Mathematics | Credits | 1 |

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

Study level | undergraduate or graduate | Requirement | Optional |

Year | 1 | Semester | summer |

Study language | Czech | ||

Year of introduction | 2022/2023 | Year of cancellation | |

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

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

Login | Name | Tuitor | Teacher giving lectures |

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

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

Form of study | Way of compl. | Extent |

Full-time | Credit | 0+2 |

Part-time | Credit | 0+16 |

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.

Tutorials

Repetition of Engineering Mathematics is intended for students who, for whatever reasons, fail the exam of Engineering Mathematics and are interested in passing this exam. Its content essentially coincides with the content of the course Engineering Mathematics. Repetition will focus on the practical part of the exam.

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

Course-credit: participation on tutorials is obligatory, 20% of absence can be accepted.

http://mdg.vsb.cz/portal

There are no additional requirements for 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, geometrical and physical applications.
3. Three-dimensional integrals on coordinate cube, on bounded subset of R3.
4. Transformation of three-dimensional integrals, geometrical and physical applications.
5. Line integral of the first and of the second kind.
6. Independence line integral on path, Green´s theorem.
7. Applications of line integrals.
8. Series. Infinite number series. Definition, sum of a series, necessary convergence condition, harmonic series, geometric series.
9. Convergency tests, ratio test, Cauchy's root test, comparison test, integral test.
10. Alternating series - absolute and conditional convergency, Leibniz test.
11. Power series - convergency interval, radius of convergence, sum of a powerseries.
12. Taylor expansion, applications.

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

Credit | Credit | 3 |

Show history

Conditions for subject completion and attendance at the exercises within ISP: Mandatory participation in the course is not required. Other conditions for subject completion will respect the individual needs of the student.

Show history

Academic year | Programme | Branch/spec. | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2024/2025 | (N1032A020006) Physical security engineering | P | Czech | Ostrava | 1 | Choice-compulsory type B | study plan | |||||

2024/2025 | (N1032A020006) Physical security engineering | K | Czech | Ostrava | 1 | Choice-compulsory type B | study plan | |||||

2023/2024 | (N1032A020006) Physical security engineering | P | Czech | Ostrava | 1 | Choice-compulsory type B | study plan | |||||

2023/2024 | (N1032A020006) Physical security engineering | K | Czech | Ostrava | 1 | Choice-compulsory type B | study plan | |||||

2022/2023 | (N1032A020001) Safety and Security Planning | P | Czech | Ostrava | 1 | Optional | study plan | |||||

2022/2023 | (N1032A020006) Physical security engineering | P | Czech | Ostrava | 1 | Choice-compulsory type B | study plan | |||||

2022/2023 | (N1032A020006) Physical security engineering | K | Czech | Ostrava | 1 | Choice-compulsory type B | study plan | |||||

2022/2023 | (N1032A020001) Safety and Security Planning | K | Czech | Ostrava | 1 | Optional | study plan |

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