Gurantor department | Department of Applied Mathematics | Credits | 8 |

Subject guarantor | doc. Mgr. Petr Vodstrčil, Ph.D. | Subject version guarantor | prof. RNDr. Jiří Bouchala, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | summer |

Study language | Czech | ||

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

Intended for the faculties | FEI | Intended for study types | Bachelor |

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

Login | Name | Tuitor | Teacher giving lectures |

BOU10 | prof. RNDr. Jiří Bouchala, Ph.D. | ||

KRA04 | Mgr. Bohumil Krajc, Ph.D. | ||

KUB59 | RNDr. Michael Kubesa, Ph.D. | ||

SAD015 | Ing. Marie Sadowská, Ph.D. | ||

VOD03 | doc. Mgr. Petr Vodstrčil, Ph.D. | ||

S1A64 | RNDr. Petra Vondráková, Ph.D. |

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

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 3+3 |

Part-time | Credit and Examination | 16+16 |

Students will learn about differential calculus of more-variable real functions.
In the second part students will get the basic practical skills for working with fundamental concepts, methods and applications of integral calculus of more-variable real functions.

Lectures

Tutorials

This subject contains following topics:
-----------------------------------
differential calculus of two and more-variable real functions,
integral calculus of more-variable real functions or differential equations (according to the version)

L. Gillman, R. H. McDowell: Calculus, New York, W.W. Norton & Comp. Inc. 1973.

J. Bouchala, M. Sadowská: Mathematical Analysis I, VŠB-TUO.

During the semester we will write two tests.

There are not defined other requirements for student.

Subject has no prerequisities.

Subject has no co-requisities.

Lectures:
- More-variable real functions. Partial and directional derivatives,
differential and gradient.
- Taylor's theorem.
- Extremes of more-variable real functions.
- Definition of double integral, basic properties. Fubini theorems for
double integral.
- Transformation of double integral, aplications of double integral.
- Definition of triple integral, basic properties. Fubini theorems for triple
integral.
- Transformation of triple integral, aplications of triple integral.
Exercises:
- More-variable real functions. Partial and directional derivatives,
differential and gradient.
- Taylor's theorem.
- Extremes of more-variable real functions.
- Definition of double integral, basic properties. Fubini theorems for double
integral.
- Transformation of double integral, aplications of double integral.
- Definition of triple integral, basic properties. Fubini theorems for triple
integral.
- Transformation of triple integral, aplications of triple integral.

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

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

Credit | Credit | 30 | 10 |

Examination | Examination | 70 | 21 |

Show history

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

2020/2021 | (B0541A170008) Computational and Applied Mathematics | AM | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2020/2021 | (B0541A170008) Computational and Applied Mathematics | AM | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0541A170008) Computational and Applied Mathematics | AM | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0541A170008) Computational and Applied Mathematics | AM | K | 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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