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

Subject guarantor | prof. RNDr. Dana Šalounová, Ph.D. | Subject version guarantor | RNDr. Pavel Rucki, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

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 |

ARE30 | Ing. Orlando Arencibia Montero, Ph.D. | ||

CTV0004 | RNDr. Eva Čtveráčková | ||

GEN02 | Mgr. Marian Genčev, Ph.D. | ||

HAN0001 | Mgr. Vít Hanák | ||

HRD0001 | Mgr. Zdeněk Hrdina | ||

HRU61 | RNDr. Jana Hrubá, Ph.D. | ||

KOZ214 | Ing. Mgr. Petr Kozel, Ph.D. | ||

LOR21 | Mgr. Kristina Lorencová | ||

MIH22 | RNDr. Šárka Michalcová, Ph.D. | ||

OND10 | Mgr. Ivana Onderková, Ph.D. | ||

SOB33 | RNDr. Simona Pulcerová, Ph.D., MBA | ||

REZ0011 | RNDr. Lenka Řezníčková | ||

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

S1A20 | prof. RNDr. Dana Šalounová, Ph.D. | ||

ZAH0001 | Marek Zahradníček |

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.
• Order knowledge about vectors in the plain.
• Identify the types of matrices.
• Solve the system of linear equations.
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.
• Express knowledge of vectors to the space.
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.
• Apply knowledge of linear algebra in economics, e.g. traffic problems, structural analysis.
• Solve basic problems of linear programming.

Lectures

Individual consultations

Tutorials

Other activities

Taught in Czech.
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] LARSON, R. Elementary Linear Algebra. Brooks/Cole Cengage Learning, Belmont, 8th edition, 2016, ISBN 978-1305658004.
[2] LUDERER, B., NOLLAU, V., VETTERS, K. Mathematical Formulas for Economists. Springer Verlag, 3rd edition, 2006, ISBN 978-3540469018.

Credit requirements:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1. Passing the credit test (succes rate - at least 50%)
2. Fulfiling of all task assigned by a teacher
3. Active participation at seminars - at most one absence without leave
4. Familiarity with lecture topics and ability to solve assigned problems
The deadline is February 10th, 2019.
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.

Credit requirements:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1. Passing the credit test (succes rate - at least 50%)
2. Fulfiling of all tasks assigned by a teacher
3. Active participation at seminars - at most one absence without leave
4. Familiarity with lecture topics and ability to solve assigned problems
The deadline is February 10th, 2019.
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. Real sequences - definition, properties, arithmetic sequence, geometric sequence, limit of a sequence.
2. Functions of one real variable – definition, domain and range, classification, graphs, even and odd functions, monotonic functions (strictly increasing, strictly decreasing), inverse functions, composition of functions.
3. The limits of functions – properties of limits, limits to infinity, one sided limits, definition of continuity, continuity on an interval.
4. An introduction to the derivate – slope of a tangent line at a point, derivative, equation of a tangent line and normal line to a curve at a point, techniques of differentiation, higher order derivations, l´Hospital´s rule.
5. Linear algebra – matrices, addition and multiplication of matrices, rank of a matrix, determinant, the inverse of the matrix, matrix equations.

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

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

Zápočtová písemka | Written test | 100 | 51 |

Show history

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

2019/2020 | (B6209) Systems Engineering and Informatics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0414A050001) Marketing | (S02) Marketing and business | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0414A050001) Marketing | (S01) Marketing Communication | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0311A050004) Applied Economics | (S01) International Economic Relations | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0413A050012) Economics and Management | (S05) Sports management | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0413A050012) Economics and Management | (S04) Economics and Law in Business | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0413A050012) Economics and Management | (S03) Management | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0312A050001) Public Economics and Administration | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0413A050012) Economics and Management | (S02) Business Administration | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0413A050012) Economics and Management | (S02) Business Administration | P | Czech | Valašské Meziříčí | 1 | Compulsory | study plan | |||

2019/2020 | (B0311A050004) Applied Economics | (S02) Economic Development | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0412A050005) Finance | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0411A050001) Accounting and Taxes | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B6202) Economic Policy and Administration | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B6208) Economics and Management | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B6208) Economics and Management | P | Czech | Valašské Meziříčí | 1 | Compulsory | study plan | ||||

2018/2019 | (B6202) Economic Policy and Administration | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2018/2019 | (B6208) Economics and Management | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2018/2019 | (B6208) Economics and Management | P | Czech | Valašské Meziříčí | 1 | Compulsory | study plan | ||||

2018/2019 | (B6209) Systems Engineering and Informatics | 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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