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

Subject guarantor | Mgr. Marian Genčev, Ph.D. | Subject version guarantor | Mgr. Marian Genčev, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | summer |

Study language | Czech | ||

Year of introduction | 2010/2011 | Year of cancellation | 2019/2020 |

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

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

Login | Name | Tuitor | Teacher giving lectures |

HRU61 | RNDr. Jana Hrubá, Ph.D. | ||

KUB33 | Mgr. Aleš Kubíček |

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

Form of study | Way of compl. | Extent |

Part-time | Examination | 6+8 |

Knowledge, comprehension
The student will be able...
- to solve the systems of linear equations, to control basic terminology and related applications
- to explain the concept of the primitive function and indefinite integral, to control the basic rules, formulas and techniques of integration
- to define the definite integral (Darboux construction), to compute the definite integral with the help of Newton-Leibniz formula, to control the related basic geometric and economic applications
- to define real functions of two real variables, to find the domain of functions of two variables and its visualization, to give the overview of basic functions of two variables used in economics, to explain the concept of homogenous functions of order 's' and to give the connections to economics
- to define and to compute the partial derivatives with the help of their definitions and with the help of rules and formulas, to apply the partial derivatives for determining of local extremes (Hessian matrix), to define and interpret local extrema in a correct way, to discuss local extrema by means of their definition (inequality-type conditions, i.e., without the Hessian matrix), to find constrained extremes (Lagrange's multiplier)
- to distinguish and to solve the basic types of differential and difference equations of 1st and 2nd order, to state the basic application possibilities in economics
- to control the principles of difference calculus in connection with the monotonicity and dynamics of real sequences, to explain the connection between summation and difference

Lectures

Individual consultations

Tutorials

The aim of the subject is to get acquainted with the basic knowledge of advanced mathematics, which is necessary for further studies of quantitative methods in economics. The subject’s structure and nature themselves have their importance as they help to develop logical thinking as well as the ability to enunciate thoughts accurately and to give clear argumentation when solving the practical problems.
Formal prerequisites: Mathematics A

[1] Larson R., Falvo C.D. Elementary Linear Algebra. Houghton Mifflin, Boston, New York, 2008.
[2] Tan T.S. Calculus: Multivariable Calculus. Brooks/Cole Cengage Learning, Belmont, 2010.
[3] Hoy M., Livernois J., McKenna Ch., Rees R., Stengos T. Mathematics for Economics. The MIT Press, London, 2011.

[1] Stewart J.S. Calculus - Concepts and Contexts. Cengage Learning, 2010.
[2] Canuto C., Tabacco A. Mathematical Analysis I. Springer Verlag, 2008.
[3] Luderer B., Nollau V., Vetters K. Mathematical Formulas for Economists. Springer Verlag, third edition, 2007.
[4] Tan T.S. Calculus: Early Transcendentals. Brooks/Cole Cengage Learning, Belmont, 2011.

The course can be accomplished only in the case if the following two conditions are satisfied:
(1) the elaboration of all requests assigned by the teacher,
(2) the accomplishment of the written exam evenly compiled from the curriculum.

According to teacher's instructions.

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

151-0400 | MatKomb | Mathematics A | Compulsory |

Subject has no co-requisities.

The aim of the subject is to get acquainted with the basic knowledge of
advanced mathematics, which is necessary for further studies of quantitative
methods in economics. The subject’s structure and nature themselves have their
importance as they help to develop logical thinking as well as the ability to
enunciate thoughts accurately and to give clear argumentation when solving the
practical problems.
After successful and active graduation of subject
• will know: count integral indeterminate, definite and improper, find extrems of function of two variables and solve differential equations of first order,
• profit: basic knowledge from integral calculus, about function of two variables and about differential equations,
• will be able: use mathematics as instrument for better comprehension of economy.

Conditions for completion are defined only for particular subject version and form of study

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

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 | |||||

2017/2018 | (B6202) Economic Policy and Administration | K | Czech | Valašské Meziříčí | 1 | Compulsory | study plan | |||||

2017/2018 | (B6202) Economic Policy and Administration | K | Czech | Šumperk | 1 | Compulsory | study plan | |||||

2017/2018 | (B6202) Economic Policy and Administration | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2017/2018 | (B6208) Economics and Management | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2016/2017 | (B6202) Economic Policy and Administration | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2016/2017 | (B6202) Economic Policy and Administration | K | Czech | Valašské Meziříčí | 1 | Compulsory | study plan | |||||

2016/2017 | (B6202) Economic Policy and Administration | K | Czech | Šumperk | 1 | Compulsory | study plan | |||||

2016/2017 | (B6208) Economics and Management | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2015/2016 | (B6202) Economic Policy and Administration | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2015/2016 | (B6208) Economics and Management | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2015/2016 | (B6202) Economic Policy and Administration | K | Czech | Šumperk | 1 | Compulsory | study plan | |||||

2015/2016 | (B6202) Economic Policy and Administration | K | Czech | Valašské Meziříčí | 1 | Compulsory | study plan | |||||

2014/2015 | (B6202) Economic Policy and Administration | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2014/2015 | (B6202) Economic Policy and Administration | K | Czech | Šumperk | 1 | Compulsory | study plan | |||||

2014/2015 | (B6208) Economics and Management | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2013/2014 | (B6202) Economic Policy and Administration | K | Czech | Šumperk | 1 | Compulsory | study plan | |||||

2013/2014 | (B6202) Economic Policy and Administration | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2013/2014 | (B6208) Economics and Management | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2012/2013 | (B6202) Economic Policy and Administration | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2012/2013 | (B6202) Economic Policy and Administration | K | Czech | Šumperk | 1 | Compulsory | study plan | |||||

2012/2013 | (B6208) Economics and Management | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2011/2012 | (B6202) Economic Policy and Administration | K | Czech | Šumperk | 1 | Compulsory | study plan | |||||

2011/2012 | (B6202) Economic Policy and Administration | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2011/2012 | (B6208) Economics and Management | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2010/2011 | (B6202) Economic Policy and Administration | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2010/2011 | (B6202) Economic Policy and Administration | K | Czech | Šumperk | 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 | 2019/2020 | Part-time | Czech | Optional | EKF - Faculty of Economics | stu. block |