Czech

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Institute of Mathematics and Descriptive Geometry (MAT)

Knowledge of using the statistical programs to apply statistics in regression, analysis of relationships and time series. Knowledge of numerical methods to solve non-linear equations, systems of linear equations, to interpolate functions by polynomials, to differentiate and integrate numerically.

Elementary notions of the theory of one- and more-functions (derivative, partial derivative, limit, continuity, graphs of functions). Calculating integrals of one-functions, knowing about their basic applications. The basics of the theory of probability and statistics.

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Requirements for successful completion of the subject are specified by guarantor’s regulation updated for every academic year.

1. Parametric problems with one random sample. Use of EXCEL and STATISTICA.
2. Parametric problems with two random samples. Coparing means and variances.
3. Non-parametric tests. Goodness-of-fit tests.
4. Analysis of relationships.
5. Regression analysis.
6. Time series. Descriptive characteristics of a time series.
7. Estimating the trend and seasonal components of a time series.
8. Error in numeric calculation. Method of bisection. Contraction theorem.
9. Solving f(x)=0 by iteration methods. Norms of matrices and vectors.
10. Iteration methods used to solve systems of linear and non-linear equations.
11. Interpolating functions by polynomials and cubic splines.
12. Numeric differentiating and the method of grids.
13. Numeric integration of one- and two-functions.

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Students will learn how to use the EXCEL and STATISTICA programs to apply statistics, study the basic notions of regression, analysis of relationships, analysis of time series. Next they will acquaint themselves with the methods used to solve non-linear equations, iteration methods used to solve systems of linear and non-linear equations, to interpolate functions by polynomials and cubic splines, learning how to numerically differentiate, solve boundary problems in second order ordinary differential equations by the method of grids and by numeric integration.

Extent and forms are specified by guarantor’s regulation updated for every academic year.

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DALÍK, Josef: Numerická analýza. Brno: AN CERM, 2010. ISBN 978-80-7204-702-4. (CS)
WONNACOTT, Thomas, H. a WONNACOTT, Ronald, J: Statistika pro obchod a hospodářství. Praha: Victoria Publishing, 1998. (CS)

ANDĚL, Jiří: Statistické metody. Praha: MATFYZPRESS, 1998. ISBN 80-85863-27-8. (CS)
CYHELSKÝ, Lubomír, HUSTOPECKÝ, Jiří a ZÁVODSKÝ, Prokop: Příklady k teorii statistiky. Praha: SNTL, 1988. ISBN 0431788. (CS)
DALÍK, Josef: Numerické metody. FAST VUT Brno, 1997. ISBN 80-214-0646-1. (CS)
KOUTKOVÁ, Helena a MOLL, Ivo: Základy pravděpodobnosti. Brno: AN CERM, 2008. ISBN 978-80-7207-574-7. (CS)
WALPOLE, Ronald E. a MYERS, Raymond H.: Probability and Statistics for Engineers and Scientists. New York: Macmillan Publishing Company, 1990. ISBN 0-02-946910-4. (EN)