Gurantor department | Department of Mathematics | Credits | 1 |

Subject guarantor | Mgr. Jitka Krčková, Ph.D. | Subject version guarantor | Mgr. Jitka Krčková, Ph.D. |

Study level | undergraduate or graduate | Requirement | Optional |

Year | 1 | Semester | summer |

Study language | Czech | ||

Year of introduction | 2018/2019 | Year of cancellation | |

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

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

Login | Name | Tuitor | Teacher giving lectures |

KRC23 | Mgr. Jitka Krčková, Ph.D. | ||

KRE40 | doc. RNDr. Pavel Kreml, CSc. |

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

Full-time | Credit | 0+2 |

Part-time | Credit | 0+16 |

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

Tutorials

Repetition of Mathematics 4 is intended for students who, for whatever reasons, fail the exam of Mathematics IV and are interested in passing this exam. Its content essentially coincides with the content of the course Mathematics IV. The aim is to enable better understanding of mathematics by the solving of concrete examples and problems. Repetition will focus on the practical part of the exam and there will be solved examples matching the written part of the exam.

Trench, W: Introduction to Real Analysis. http://ramanujan.math.trinity.edu/wtrench/texts/index.shtml (free download)

Trench, W: Introduction to Real Analysis. http://ramanujan.math.trinity.edu/wtrench/texts/index.shtml (free download)

The course is optional and requires the active participation of students registered. Participation on tutorials is obligatory, 20% of absence can be apologized.

No more requirements are put on the student.

Subject has no prerequisities.

Subject has no co-requisities.

1. Double integral over a rectangular domain and over a general regular domain.
2. Transformation to polar and generalized polar coordinates.
3. Applications of double integrals.
4. Triple integral over a rectangular hexahedron and over a general regular domain.
5. Transformation to cylindrical and generalized cylindrical coordinates.
6. Transformation to spherical and generalized spherical coordinates.
7. Applications of triple integrals.
8. Vector fields. Divergence and rotation of vector fields. Line integrals.
9. Line integral of a scalar field.
10. Line integral of a vector field.
11. Green’s theorem and the path independence.
12. Applications of line integrals.
13. Applications in the civil engineering.
14. Reserve.

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

Show history

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

2020/2021 | (N3502) Architecture and Construction | (3501T011) Architecture and Construction | P | Czech | Ostrava | 1 | Optional | study plan | ||||

2018/2019 | (N3607) Civil Engineering | (3607T013) Municipal Engineering and Construction | K | Czech | Ostrava | 1 | Optional | study plan | ||||

2018/2019 | (N3607) Civil Engineering | (3607T049) Realization of Constructions | K | Czech | Ostrava | 1 | Optional | study plan | ||||

2018/2019 | (N3607) Civil Engineering | (3607T036) Transport Constructions | (01) Transport Constructions | P | Czech | Ostrava | 1 | Optional | study plan | |||

2018/2019 | (N3607) Civil Engineering | (3607T036) Transport Constructions | (02) Traffic Engineering | P | Czech | Ostrava | 1 | Optional | study plan | |||

2018/2019 | (N3607) Civil Engineering | (3607T035) Geotechnics | P | Czech | Ostrava | 1 | Optional | study plan | ||||

2018/2019 | (N3607) Civil Engineering | (3607T013) Municipal Engineering and Construction | P | Czech | Ostrava | 1 | Optional | study plan | ||||

2018/2019 | (N3607) Civil Engineering | (3607T049) Realization of Constructions | P | Czech | Ostrava | 1 | Optional | study plan | ||||

2018/2019 | (N3607) Civil Engineering | (3607T021) Building Materials and Diagnostics of Structures | P | 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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