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

Subject guarantor | Mgr. Zuzana Morávková, Ph.D. | Subject version guarantor | Mgr. Zuzana Morávková, Ph.D. |

Study level | undergraduate or graduate | ||

Study language | Czech | ||

Year of introduction | 2017/2018 | Year of cancellation | |

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

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

Login | Name | Tuitor | Teacher giving lectures |

MOR74 | Mgr. Zuzana Morávková, Ph.D. | ||

KAH14 | Mgr. Marcela Rabasová, Ph.D. |

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

Form of study | Way of compl. | Extent |

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

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

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.

[1] KREML, P: Mathematics II, Ostrava 2005, 80-248-0798-X. http://mdg.vsb.cz/portal/en/Mathematics2.pdf
[2] JAMES, G.: Modern Engineering Mathematics. Addison-Wesley, 1992. ISBN 0-201-1805456.

[1] James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993. ISBN 0-201-56519-6.
[2] 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,
-pass the written three tests
Point classification: 15-35 points.
Exam
Practical part of an exam is classified by 0 - 55 points. Practical part is successful if student obtains at least 20 points.
Theoretical part of the exam is classified by 0 - 10 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://lms.vsb.cz

No special requirements.

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

310-2211 | M I | Mathematics I | Compulsory |

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, method of undetermined coefficients.
13 Application of differential equations

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 | 35 (35) | 15 | 2 |

Písemka 1 | Written test | 15 | 5 | 2 |

Písemka 2 | Written test | 10 | 3 | 2 |

Písemka 3 | Written test | 10 | 3 | 2 |

Examination | Examination | 65 (65) | 30 | 3 |

Praktická část | Written examination | 55 | 20 | 3 |

Teoretická část | Written test | 10 | 5 | 3 |

Show history

Conditions for subject completion and attendance at the exercises within ISP: In order to complete credit, students submit homeworks and pass three tests. Participation in the exercises is not required. Based on a successfully completed credit, they can pass the exam.

Show history

Academic year | Programme | Branch/spec. | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2023/2024 | (B0712P130001) Environmental technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2022/2023 | (B0712P130001) Environmental technology | P | 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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