Course detail
Mathematics IV (E)
FAST-CA05Acad. year: 2009/2010
Parametric and non-parametric problems with one and two random samples, analysis of relationships, regression analysis, introduction to time series. Use of the EXCEL and STATISTICA programs.
Errors in numeric calculation. Solving the f(x)=0 equation by graphic and bisection methods. Contraction theorem and solving an f(x)=0 equation by the simple iteration and Newton methods. Iteration methods used to solve systems of linear and non-linear equations. Interpolating functions by polynomials and cubic splines. Numeric differentiation and solving boundary problems in second-order ordinary differential equations by the method of grids. Numeric integration.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Course curriculum
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.
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
Recommended reading
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)
Classification of course in study plans