Gurantor department | Department of Mathematical Methods in Economics | Credits | 6 |

Subject guarantor | PaedDr. Renata Majovská, PhD. | Subject version guarantor | PaedDr. Renata Majovská, PhD. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | summer |

Study language | Czech | ||

Year of introduction | 2006/2007 | Year of cancellation | 2009/2010 |

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

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

Login | Name | Tuitor | Teacher giving lectures |

MAJ40 | PaedDr. Renata Majovská, PhD. |

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

Form of study | Way of compl. | Extent |

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

Knowledge
• Define basic integration rules.
• Define indefinite and definite integral.
• Relate properties of indefinite and definite integral.
• Define the function of two variables.
• Find the domain and range.
• Describe basic properties.
• Compute partial derivates of functions.
• Order knowledge about first-ordered differential equations.
• Identify the types of differential equations.
• Solve differential equations.
Comprehension
• Select suitable integral methods.
• Solve integrals of rational functions by the method of partial fractions.
• Solve integrals of some irrational functions and trigonometric functions.
• Extend knowledge about economic dependences using a mathematical function.
• Generalise the functions on the dependences in the real live.
• Express knowledge about equation solving.
Applications
• Apply integration methods in economics.
• Obtain easier imagine about economic functions of utility.
• Discover the tools suitable for describing of dynamical models.
Analysis
• Analyse mathematical principle of some economic terms and properties.
• Appraise the trends of economic values.

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 outer world. Students get knowledge of several
mathematical techniques which are necessary to understand
economic relationships and models.

Kreml, P., Mathematics II. VŠB-TU Ostrava, 2005, ISBN 80-248-0798-X.
Sydsaeter, K., Hammond, P. J. Mathematics for Economics Analysis.
Prentice Hall, Inc., 1995, ISBN 0-13-583600-X.

Rosser, M., Basic Mathematics for Economist. Routledger, London, 2003,
ISBN 0-203-42263-5.
Goldstein, L., Schneider, D. Introduction to Mathematics. Ginn
Custom Publishing, 1981, ISBN 0-536-03755-8
Bradley, G. L., Smith, K. J. Calculus. Prentice Hall, Inc., 1995,
ISBN 0-13-081055-X.

Validation tests using CMS Moodle.

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

151-0340 | Mat E | Mathematics E | Compulsory |

Subject has no co-requisities.

1. The indefinite integral – definition and properties, basic integration rules, methods of integration: integration by parts, integration by substitution.
2. The indefinite integral – integrals of rational functions, the method of partial fractions, integrals of some irrational functions, integrals of some trigonometric functions.
3. The definite integral – definition and properties, Riemann sums, the Newton-Leibniz formula, application of the definite integral: area between curves, capital stock, improper integral.
4. Functions of two variables – introduction and terminology, domain, range, graph, partial derivatives, higher-order partial derivatives.
5. Equation of a tangent plane and a normal of a surface, extreme of functions of two variables: local extreme, extreme with a condition.
6. Ordinary differential equation – first-order differential equations, introduction and terminology, general solution, particular solution, separable differential equation, homogeneous differential equation.
7. Linear differential equation.

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

Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 |

Exercises evaluation | Credit | 45 (45) | 23 |

Written exam | Written test | 45 | 23 |

Examination | Examination | 55 (55) | 28 |

Written examination | Written examination | 45 | 23 |

Oral | Oral examination | 10 | 5 |

Show history

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

2009/2010 | (B6207) Quantitative Methods in Economics | P | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2008/2009 | (B6207) Quantitative Methods in Economics | (6207R015) Managerial and Decision Making Methods in Economics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B6207) Quantitative Methods in Economics | (6207R015) Managerial and Decision Making Methods in Economics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B6207) Quantitative Methods in Economics | (6207R015) Managerial and Decision Making Methods in Economics | P | Czech | Ostrava | 1 | Compulsory | study plan |

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