# 151-0340 – Mathematics E (Mat E)

 Gurantor department Department of Mathematical Methods in Economics Subject guarantor PaedDr. Renata Majovská, PhD. Study level undergraduate or graduate
Subject version
Version codeYear of introductionYear of cancellationCredits
151-0340/01 2006/2007 2009/2010 6

### Subject aims expressed by acquired skills and competences

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. Analysis • Analyse mathematical principle of some economic terms and properties. • Appraise the trends of economic values.

### Summary

The subject is built on the university level of mathematics. It 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 as well as the ability to enunciate thoughts accurately and to give the correct argumentation when solving the practical problems. This is being done especially by mathematization of the real as well as theoretical economic problems. This subject supplies the students’ education with realms of higher mathematics which is applicable namely to the creation and study of economic models.

### Compulsory literature:

Doležalová, J., Mathematics I. VŠB-TU Ostrava, 2005, ISBN 80-248-0796-3. Sydsaeter, K., Hammond, P. J. Mathematics for Economics Analysis. Prentice Hall, Inc., 1995, ISBN 0-13-583600-X.

### Recommended literature:

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.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.