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

Subject guarantor | doc. Ing. Petr Seďa, Ph.D. | Subject version guarantor | doc. Ing. Petr Seďa, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | summer |

Study language | English | ||

Year of introduction | 2024/2025 | Year of cancellation | |

Intended for the faculties | EKF | Intended for study types | Follow-up Master |

Instruction secured by | |||
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Login | Name | Tuitor | Teacher giving lectures |

SED02 | doc. Ing. Petr Seďa, Ph.D. |

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

Form of study | Way of compl. | Extent |

Full-time | Graded credit | 2+2 |

The main aim of the course is to teach students how to use mathematics effectively and to increase knowledge and understanding of microeconomic and macroeconomic problems.
Students will get the following knowledge, skills and abilities:
• will be able to use mathematics as a tool for deeper understanding of microeconomics and macroeconomics,
• will be able to study economics effectively,
• will learn how to apply methods and procedures of mathematical analysis to solve practical economic problems at the microeconomic and macroeconomic level,
• will be able to describe solutions of selected economic problems using mathematical tools, check individual steps of given solution, generalize conclusions and evaluate the correctness of results with respect to given conditions.

Lectures

Tutorials

Other activities

This course connects the existing knowledge of mathematics and economics obtained at bachelor level of study so that students apply the knowledge of mathematics in the area of microeconomics and macroeconomics. The aim of this course is to enable students to understand the benefits of using mathematics as a very useful tool for understanding objective economic reality using mathematical abstraction. Students should discover connections and relationships by comparing economic phenomena having different content but same formal description. This approach allows students to achieve a deeper knowledge of economics.

CHIANG, Alpha C. and Kevin WAINWRIGHT. Fundamental Methods of Mathematical Economics. McGraw-Hill/Irwin, 2013. ISBN 978-1259097348.
MAVRON, Vassilis C. and Timothy N. PHILLIPS. Elements of Mathematics for Finance. Springer, 2023. ISBN 978-3-031-43909-4.
PENA-LEVANO, Luis Moises. Schaum's Outline of Calculus for Business, Economics and Finance. McGraw-Hill, 2023. ISBN 978-1264266852.

PEMBERTON, Malcom and Nicholas RAU. Mathematics for economists: An introductory textbook. Manchester University Press, 2023. ISBN 978-1526173539.
PENA-LEVANO, Luis Moises. Schaum's Outline of Mathematical Methods for Business, Economics and Finance. McGraw-Hill, 2021. ISBN 978-1264266876.
SYDSAETER, Knut and Peter HAMMOND. Essential Mathematics for Economic Analysis. Prentice Hall, 2013. ISBN 978-0-273-76068-9.

Knowledge is controlled through 2 written tests and tasks according to specification of teachers.

The course is supported by on-line LMS (Learning Management System).

Not required by teachers.

Subject has no prerequisities.

Subject has no co-requisities.

1. Introduction.
Mathematical modelling in economics. Classification of economic and mathematical models. Functional dependency.
2. Approximation of real functions.
Interpolation by algebraic polynomials. Lagrange interpolation method. Approximation by the least squares method.
3. Differential calculus of functions of one variable in economic applications.
Economic functions and their properties, the slope of a function. Total, average and marginal variables in economics, elasticity of a function.
4. Differential calculus of multivariable functions in economic applications I.
The methods of optimizing the multivariable functions in economics - the substitution method, the method of Lagrange multipliers, the method of comparison of marginal rates of substitutions.
5. Differential calculus of multivariable functions in economic applications II.
Constrained extrema of multivariable functions in economics. Model with multiply inputs. Evaluation of efficiency.
6. Differential calculus of multivariable functions in economic applications III.
The methods of optimization in imperfect models markets.
7. Integral calculus in economics.
Application of definite and indefinite integrals in economics. Flow quantities in economics and their accumulation over time.
8. Functional dependence as a tool for modelling static economic phenomena.
Models of static equilibrium. Models of comparative statics in economics.
9. Mathematical basis of discrete linear dynamic models in economics I.
Difference equation – a mathematical tool for modelling the discrete macroeconomic dynamic processes in economics.
10. Mathematical basis of continuous linear dynamic models in economics I.
Analogy of discrete and continuous models. Differential equations - a mathematical tool for modelling the continuous macroeconomic dynamic processes in economics.
11. Mathematical basis of discrete linear dynamic models in economics II.
Difference equations - mathematical tool for modelling the discrete microeconomic dynamic processes in economics.
12. Mathematical basis of continuous linear dynamic models in economics II.
Differential equations – a mathematical tool for modelling the continuous microeconomic dynamic processes in economics.

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 |

Test 1 | Written test | 50 | 26 | 2 |

Test 2 | Written test | 50 | 26 | 2 |

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Conditions for subject completion and attendance at the exercises within ISP: Participation in lectures and seminars is recommended. It is necessary to pass 2 written tests, just like in the case of students without ISP.

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

2024/2025 | (N0412A050005) Finance | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2024/2025 | (N0413A050014) Economics and Management | (S03) Economics and Law in Business | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2024/2025 | (N0413A050014) Economics and Management | (S01) Business Administration | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2024/2025 | (N0413A050014) Economics and Management | (S02) Management | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2024/2025 | (N0414A050002) Marketing and Business | P | English | Ostrava | 1 | Choice-compulsory type B | study plan | |||||

2024/2025 | (N0311A050013) Applied Economics | (S02) International Economic Relations | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2024/2025 | (N0311A050013) Applied Economics | (S01) Economic Development | P | English | Ostrava | 2 | Compulsory | study plan |

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