Gurantor department | Department of Mathematics | Credits | 4 |

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

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | English | ||

Year of introduction | 2018/2019 | Year of cancellation | 2020/2021 |

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

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

KRC23 | Mgr. Jitka Krčková, Ph.D. |

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

Form of study | Way of compl. | Extent |

Part-time | Credit and Examination | 16+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

Integral calculus of functions of several independent variables: double and triple integrals, vector analysis,
line integral of the first and the second kind.

http://www.studopory.vsb.cz
http://www.studopory.vsb.cz/studijnimaterialy/MatematikaIII/Matematika3_obsah.pdf

http://homen.vsb.cz/~kre40/matematika.html#m3
Burda, P. - Doležalová, J.: Integrální počet funkcí více proměnných – Matematika IIIb. Skriptum VŠB, Ostrava 2003.
ISBN 80-248-0454-9.
Burda, P. - Doležalová, J.: Cvičení z matematiky IV. Skriptum VŠB, Ostrava 2002. ISBN 80-248-0028-4.
Trench, W: Introduction to Real Analysis. http://ramanujan.math.trinity.edu/wtrench/texts/index.shtml (free download)

At least 70% attendance at the exercises. Absence, up to a maximum of 30%, must be excused and the apology must be accepted by the teacher (the teacher decides to recognize the reason for the excuse).

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.

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

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

Credit | Credit | 20 | 5 | |

Examination | Examination | 80 (80) | 30 | 3 |

Písemná zkouška | Written examination | 60 | 25 | |

Ústní zkouška | Oral examination | 20 | 5 |

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Conditions for subject completion and attendance at the exercises within ISP:

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

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

2018/2019 | (N3607) Civil Engineering | (3607T021) Building Materials and Diagnostics of Structures | K | English | Ostrava | 1 | Compulsory | study plan | ||||

2018/2019 | (N3607) Civil Engineering | (3607T036) Transport Constructions | (01) Transport Constructions | K | English | Ostrava | 1 | Compulsory | study plan | |||

2018/2019 | (N3607) Civil Engineering | (3607T036) Transport Constructions | (02) Traffic Engineering | K | English | Ostrava | 1 | Compulsory | study plan | |||

2018/2019 | (N3607) Civil Engineering | (3607T035) Geotechnics | K | English | 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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