# 151-0400 – Mathematics A (MatKomb)

 Gurantor department Department of Mathematical Methods in Economics Subject guarantor RNDr. Pavel Rucki, Ph.D. Study level undergraduate or graduate
Subject version
Version codeYear of introductionYear of cancellationCredits
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

### 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.

### Teaching methods

Lectures
Individual consultations
Other activities

### Summary

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.

### Compulsory literature:

 Hoy, M., Livernois, J., McKenna, Ch., Rees, R., Stengos, T. Mathematics for Economics. The MIT Press, London, 2011.  Tan, T.S. Calculus: Early Transcendentals. Brooks/Cole Cengage Learning, Belmont, 2011.

### Recommended literature:

 Larson, R., Falvo, C.D. Elementary Linear Algebra. Houghton Mifflin, Boston, New York, 2008.  Luderer, B., Nollau, V., Vetters, K. Mathematical Formulas for Economists. Springer Verlag, third edition, 2007.  Simon, C.P., Blume, L. Mathematics for Economists. W.W. Norton & Company, New York-London, 2005.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.