Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 4 |

Subject guarantor | Ing. Petra Schreiberová, Ph.D. | Subject version guarantor | RNDr. Jan Kotůlek, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | summer |

Study language | English | ||

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

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

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

Login | Name | Tuitor | Teacher giving lectures |

KOT31 | RNDr. Jan Kotůlek, Ph.D. | ||

RIE0053 | Mgr. Tomáš Riemel |

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

Form of study | Way of compl. | Extent |

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

Part-time | Credit and Examination | 12+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.

Lectures

Individual consultations

Tutorials

Other activities

Integral calculus of function of one real variable: the indefinite and definite
integrals, properties of the indefinite and definite integrals, application in
the geometry and physics. Differential calculus of functions of several
independent variables. Ordinary differential equations of the first and the
second order.

Kreml, P.: Mathematics II, VŠB – TUO, Ostrava 2005, ISBN 80-248-0798-X

James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992. ISBN 0-201-1805456

Course-credit
-elaborate programs,
-pass the written tests,
Exam
Practical and theoretical part

http://mdg.vsb.cz/portal/en/Mathematics2.pdf

more requierements are not

Subject code | Abbreviation | Title | Requirement |
---|---|---|---|

310-2117 | M1 | Mathematics 1 | Compulsory |

Subject has no co-requisities.

1 Integral calculus of functions of one variable. Antiderivatives and indefinite integral. Integration of elementary functions.
2 Integration by substitutions, integration by parts.
3 Integration of rational functions.
4 Definite integral and methods of integration.
5 Geometric application of definite integrals.
6 Differential calculus of functions of two or more real variables. Functions of two or more variables, graph,
7 Partial derivatives of the 1-st and higher order.
8 Total differential of functions of two variables, tangent plane and normal to a surface, extrema of functions.
9 Ordinary differential equations. General, particular and singular solutions. Separable homogeneous equations.
10 Homogeneous equations. Linear differential equations of the first order, method of variation of arbitrary constant.
11 2nd order linear differential equations with constant coefficients, linearly independent solutions, Wronskian,fundamental system of solutions.
12 2nd order LDE with constant coefficients - method of variation of arbitrary constants.
13 2nd order LDE with constant coefficients - method of undetermined coefficients.

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 | 51 | |

Credit | Credit | |||

Examination | Examination | 3 |

Show history

Conditions for subject completion and attendance at the exercises within ISP: In order to complete the credit, students pass the credit test. On the basis of a successfully completed credit, they can take an exam.

Show history

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

2023/2024 | (B0713A070003) Energetics and Environments | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2023/2024 | (B0715A270012) Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2022/2023 | (B0713A070003) Energetics and Environments | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2022/2023 | (B0715A270012) Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2021/2022 | (B0713A070003) Energetics and Environments | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2021/2022 | (B0715A270012) Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2020/2021 | (B0715A270012) Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2020/2021 | (B0713A070003) Energetics and Environments | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2019/2020 | (B2341) Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2019/2020 | (B0715A270012) Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2019/2020 | (B0713A070003) Energetics and Environments | P | 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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