Gurantor department | Department of Mathematical Methods in Economics | Credits | 5 |

Subject guarantor | RNDr. Pavel Rucki, Ph.D. | Subject version guarantor | RNDr. Pavel Rucki, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | English | ||

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

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

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

Login | Name | Tuitor | Teacher giving lectures |

RUC05 | RNDr. Pavel Rucki, Ph.D. |

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

Form of study | Way of compl. | Extent |

Full-time | Graded credit | 2+2 |

Knowledge
• Define the function of one variable.
• Find the domain and range and basic properties.
• Draw graphs of elementary functions.
• Compute limits and derivates of functions.
• Find the properties of no elementary functions a draw theirs graphs.
• Obtain easier imagine about economic functions.
Comprehension
• Express economic dependences using a mathematical function.
• Explain the slope of a function.
• Restate the terms “concavity” and “convexity” into the “degressive” and “progressive”.
• Generalise the functions on the dependences in the real live.
Applications
• Relate economic and mathematical functions.
• Discover the tools suitable for describing of dependences in economics and other sciences.
• Develop the technique of graphs drawing.

Lectures

Individual consultations

Tutorials

Other activities

The subject continues fulfilling general methodical and professional goals of
Mathematics, i.e. to train the rational thinking and the ability to conceive
and work with quantitative information concerning the real world. This is being
done especially by mathematization of the practical as well as theoretical
economic problems. This subject supplies the students’ education with realms of
higher Mathematics which is applicable namely to the creation and investigation
of economic models.

[1] SYDSAETER, K., HAMMOND, P. J. Mathematics for Economics Analysis. Pearson, 2002, ISBN 978-81-7758104-1.
[2] HOY, M., LIVERNOIS, J., MCKENNA, Ch., REES, R., STENGOS, T. Mathematics for Economics. The MIT Press, London, 3rd edition, 2011, ISBN 978-0-262-01507-3.
[3] TAN, T.S. Single variable calculus: early transcendentals. Brooks/Cole Cengage Learning, Belmont, 2011, ISBN 978-1-4390-4600-5.

[1] CARVAJAL, Andrés M., HAMMOND, Peter J., STRØM, Arne, SYDSAETER, Knut. Essential mathematics for economic analysis. Pearson, 5th edition, 2016, ISBN 978-1-292-07461-0.
[2] STOCKER, Christopher J., ZIEGLER, Michael R., BYLEEN, Karl E., BARNETT, Raymond A. College mathematics for business, economics, life sciences, and social sciences. Pearson, 14th edition, 2019, ISBN 978-0-13-467414-8.

Credit requirements:
1. Passing the credit test (succes rate - at least 50%)
2. Active participation at seminars - at most one absence without leave
3. Familiarity with lecture topics and ability to solve assigned problems
Credit requirements in case of individual study:
It is possible to replace active participation at seminars (req. 3) with written tasks assigned by a teacher. Other requirements remain valid.

https://lms.vsb.cz/course/view.php?id=88522

Credit requirements:
1. Passing the credit test (succes rate - at least 50%)
2. Active participation at seminars - at most one absence without leave
3. Familiarity with lecture topics and ability to solve assigned problems
Credit requirements in case of individual study:
It is possible to replace active participation at seminars (req. 3) with written tasks assigned by a teacher. Other requirements remain valid.

Subject has no prerequisities.

Subject has no co-requisities.

1. Introduction - number sets, intervals, solving of elementary equations and relations, simplifying powers and roots.
2. - 3. Sequences – basic concepts, arithmetic and geometric sequence and their application, summation, limit of a sequence, definition of Euler's number e.
4. - 6. Function of a single real variable – definition, domain and range, classification, elementary functions, graph of a function, inverse functions.
7. - 8. Limit of a function - limit of a function at a point, improper limit of a function, limit of a funciton at infinity.
9. - 10. Derivative of a function - equation of a tangent line and normal line to a curve at a point, differentiation techniques, higher order derivatives, differential of a function, l'Hospital's Theorem.
11. - 12. Application of the derivative - monotonoic function, local and global extrema of a function, convex and concave function, inflexion points, asymptotes.
13. - 14. Revision.

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

Graded credit | Graded credit | 100 (100) | 51 | 3 |

Zápočtová písemka | Written test | 100 | 51 | 2 |

Show history

Conditions for subject completion and attendance at the exercises within ISP: Attendance at lectures and seminars is recommended. Successful passing of the credit examination is required.

Show history

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

2023/2024 | (B0311A050005) Applied Economics | (S02) International Economic Relations | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2023/2024 | (B0311A050005) Applied Economics | (S01) Economic Development | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2023/2024 | (B0412A050006) Finance | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2023/2024 | (B0413A050047) Business Administration | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2022/2023 | (B0311A050005) Applied Economics | (S01) Economic Development | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2022/2023 | (B0311A050005) Applied Economics | (S02) International Economic Relations | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2022/2023 | (B0412A050006) Finance | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2022/2023 | (B0413A050047) Business Administration | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2021/2022 | (B0311A050005) Applied Economics | (S01) Economic Development | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2021/2022 | (B0311A050005) Applied Economics | (S02) International Economic Relations | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2021/2022 | (B0412A050006) Finance | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2020/2021 | (B0311A050005) Applied Economics | (S02) International Economic Relations | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2020/2021 | (B0311A050005) Applied Economics | (S01) Economic Development | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2020/2021 | (B0412A050006) Finance | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2020/2021 | (B6208) Economics and Management | (6208R174) European Business Studies | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B6208) Economics and Management | (6208R174) European Business Studies | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0311A050005) Applied Economics | (S02) International Economic Relations | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0311A050005) Applied Economics | (S01) Economic Development | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0412A050006) Finance | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2018/2019 | (B6208) Economics and Management | (6208R174) European Business Studies | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2018/2019 | (B6202) Economic Policy and Administration | (6202R010) Finance | 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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