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 | 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. | ||

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

HRU61 | RNDr. Jana Hrubá, Ph.D. | ||

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

KUB33 | Mgr. Aleš Kubíček | ||

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

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

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

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

Form of study | Way of compl. | Extent |

Part-time | Graded credit | 6+8 |

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

Other activities

Taught in Czech only. It contains the following topics:
1. Linear algebra – matrices, determinant, rank.
2. Linear algebra – the inverse of the matrix, linear equations.
3. Functions of one real variable – definition, properties, graphs, inverse
functions.
4. The limit of function – properties of limits, limits to infinity, one sided
limits, definition of continuit, sequences, limits
of sequences.
5. An introduction to the derivation – slope of a tangent line at a point,
6. Higher order derivations, l´Hospital´s rule.
7. Additional applications of derivation.

[1] Hoy, M., Livernois, J., McKenna, Ch., Rees, R., Stengos, T. Mathematics for Economics. The MIT Press, London, 2011.
[2] Tan, T.S. Calculus: Early Transcendentals. Brooks/Cole Cengage Learning, Belmont, 2011.

[1] Larson, R., Falvo, C.D. Elementary Linear Algebra. Houghton Mifflin, Boston, New York, 2008.
[2] Luderer, B., Nollau, V., Vetters, K. Mathematical Formulas for Economists. Springer Verlag, third edition, 2007.
[3] Simon, C.P., Blume, L. Mathematics for Economists. W.W. Norton & Company, New York-London, 2005.

Odevzdání korespondenčních úkolů v elektronické podobě (viz LMS MOODLE na EkF VŠB-TUO) a vykonání písemky podle pokynů vyučujícícho. Z maximálního počtu bodů je nutno získat alespoň 50%.

Credit requirements:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1. Fulfiling of all task assigned by a teacher
2. Familiarity with lecture topics and ability to solve assigned problems

Subject has no prerequisities.

Subject has no co-requisities.

1. Real sequences – definition, properties, graphs, arithmetic sequence, geometric sequence, summation.
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 differential calculus – 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. Course of a function – local and global extrema, intervals of monotonicity, points of inflection, convexity, concavity, asymptotic lines.
1. Linear algebra – matrices, addition and multiplication of matrices, rank of a matrix, determinant, the inverse of the matrix, matrix equations.
Problems are solved offline (individually, under the supervision of a tutor with the aid of supportive materials).

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 | 90 | 45 |

Kontrolní úkoly | Other task type | 10 | 6 |

Show history

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

2020/2021 | (B0312A050001) Public Economics and Administration | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2020/2021 | (B0312A050001) Public Economics and Administration | K | Czech | Šumperk | 1 | Compulsory | study plan | |||||

2020/2021 | (B0312A050001) Public Economics and Administration | K | Czech | Valašské Meziříčí | 1 | Compulsory | study plan | |||||

2020/2021 | (B0413A050012) Economics and Management | (S02) Business Administration | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2020/2021 | (B0413A050012) Economics and Management | (S03) Management | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

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

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

2019/2020 | (B0312A050001) Public Economics and Administration | K | Czech | Valašské Meziříčí | 1 | Compulsory | study plan | |||||

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

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

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

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

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

2019/2020 | (B6202) Economic Policy and Administration | K | Czech | Valašské Meziříčí | 1 | Compulsory | study plan | |||||

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

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

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

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

2018/2019 | (B6202) Economic Policy and Administration | K | Czech | Valašské Meziříčí | 1 | Compulsory | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner | |
---|---|---|---|---|---|---|---|---|---|

Subject block without study plan - EKF - K - cs | 2020/2021 | Part-time | Czech | Optional | EKF - Faculty of Economics | stu. block | |||

Subject block without study plan - EKF - K - cs | 2019/2020 | Part-time | Czech | Optional | EKF - Faculty of Economics | stu. block |