Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 6 |

Subject guarantor | Mgr. Jiří Vrbický, Ph.D. | Subject version guarantor | Mgr. Jiří Vrbický, 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 | FMT | Intended for study types | Bachelor |

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

Login | Name | Tuitor | Teacher giving lectures |

KRC76 | Mgr. Jiří Krček | ||

LUN44 | Mgr. Milena Luňáčková, Ph.D. | ||

VRB50 | Mgr. Jiří Vrbický, Ph.D. | ||

ZID76 | Mgr. Arnošt Žídek, Ph.D. |

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

Form of study | Way of compl. | Extent |

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

Combined | Credit and Examination | 20+0 |

The goal of mathematics is train logical reasoning than mere list of mathematical notions, algorithms and methods.
Students should learn how to: analyze problems, suggest a method of solution, analyze correctness of achieved results with respect to given conditions,
aply these methods while solving technical problems.

Lectures

Individual consultations

Tutorials

Other activities

Differential calculus of functions of several independent variables.
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.
Ordinary differential equations of the first and the second order.

James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992.
ISBN 0-201-1805456.
James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993.
ISBN 0-201-56519-6.

Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications. D.C.Heath and Company, Lexington1990, ISBN 0-669-21145-1.

Course-credit
-participation on tutorials is obligatory, 20% of absence can be apologized,
-elaborate programs,
-pass the written tests,
Point classification: 5-20 points.
Exam
Practical part of an exam is classified by 0 - 60 points. Practical part is successful if student obtains at least
25 points.
Theoretical part of the exam is classified by 0 - 20 points. Theoretical part is successful if student obtains
at least 5 points.
Point quantification in the interval 100 - 91 90 - 81 80 - 71 70 - 61 60 - 51 50 - 0
ECTS grade A B C D E F
Point quantification in the interval 100 - 86 85 - 66 65 - 51 51 - 0
National grading scheme excellent very good satisfactory failed

http://mdg.vsb.cz/portal/m2/

No special requirements.

Subject has no prerequisities.

Subject has no co-requisities.

1 Differential calculus of functions of two or more real variables. Functions of two or more variables, graph,
2 Partial derivatives of the 1-st and higher order.
3 Total differential of functions of two variables, tangent plane and normal to a surface, extrema of functions.
4 Integral calculus of functions of one variable. Antiderivatives and indefinite integral. Integration of elementary functions.
5 Integration by substitutions, integration by parts.
6 Integration of rational functions.
7 Definite integral and methods of integration.
8 Geometric and physical application of definite integrals.
9 Ordinary differential equations. General, particular and singular solutions. Separable equations.
10 Homogeneous equations. Exact 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.
14 Application of differential equations

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 | 20 | 5 |

Examination | Examination | 80 (80) | 30 |

písemka | Written test | 60 | 25 |

teorie | Oral examination | 20 | 5 |

Show history

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

2019/2020 | (B2109) Metallurgical Engineering | (2109R038) Modern Metallurgical Technologies | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B2109) Metallurgical Engineering | (2109R039) Thermal Engineering and Ceramic Materials | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B3923) Materials Engineering | (3911R036) Advanced Engineering Materials | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B3922) Economics and Management of Industrial Systems | (6208R123) Economics and Management in Industry | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B3922) Economics and Management of Industrial Systems | (3902R040) Automation and Computing in Industry | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B3922) Economics and Management of Industrial Systems | (3902R062) Quality Management | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B3923) Materials Engineering | (3911R034) Materials and Technologies for Automobile Industry | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B3923) Materials Engineering | (3911R033) Material Recycling | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B3909) Process Engineering | (3909R014) Process Engineering and Quality Control Methods | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B3909) Process Engineering | (2805R002) Chemistry and Technology of Environmental Protection | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B3923) Materials Engineering | (3911R036) Advanced Engineering Materials | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B2109) Metallurgical Engineering | (2109R038) Modern Metallurgical Technologies | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B2109) Metallurgical Engineering | (2109R039) Thermal Engineering and Ceramic Materials | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B3922) Economics and Management of Industrial Systems | (6208R123) Economics and Management in Industry | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B3922) Economics and Management of Industrial Systems | (3902R040) Automation and Computing in Industry | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B3922) Economics and Management of Industrial Systems | (3902R062) Quality Management | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0488A270001) Quality Management and Control of Industrial Systems | (S01) Economics and Management in Industry | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0488A270001) Quality Management and Control of Industrial Systems | (S01) Economics and Management in Industry | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0488A270001) Quality Management and Control of Industrial Systems | (S02) Quality Management | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0715A270007) Materials and technologies for the automotive industry | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0713A070001) Thermal energetics engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0712A130004) Chemical and environmental engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0488A270001) Quality Management and Control of Industrial Systems | (S02) Quality Management | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0715A270004) Materials Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0715A270004) Materials Engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0488A270001) Quality Management and Control of Industrial Systems | (S03) Computer Control Systems in Industry | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0715A270006) Modern Production and Processing of Metallic Materials | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0715A270006) Modern Production and Processing of Metallic Materials | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0713A070001) Thermal energetics engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0715A270005) Materials technologies and recycling | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0488A270001) Quality Management and Control of Industrial Systems | (S03) Computer Control Systems in Industry | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0715A270005) Materials technologies and recycling | 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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