Gurantor department | Department of Mathematical Methods in Economics |

Subject guarantor | RNDr. Pavel Rucki, Ph.D. |

Study level | undergraduate or graduate |

Subject version | |||
---|---|---|---|

Version code | Year of introduction | Year of cancellation | Credits |

151-0400/01 | 1999/2000 | 2009/2010 | 4 |

151-0400/02 | 2006/2007 | 2009/2010 | 4 |

151-0400/03 | 2006/2007 | 2009/2010 | 4 |

151-0400/04 | 2006/2007 | 2009/2010 | 4 |

151-0400/05 | 2010/2011 | 2017/2018 | 5 |

151-0400/06 | 2018/2019 | 5 |

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.

Subject has no prerequisities.

Subject has no co-requisities.