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Terminated in academic year 2010/2011

Numerical and Statistics Methods

Type of study Bachelor
Language of instruction Czech
Code 714-0655/01
Abbreviation NaSM
Course title Numerical and Statistics Methods
Credits 4
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator Mgr. Jiří Vrbický, Ph.D.

Subject syllabus

1. Course contents, the issue of errors, stability of calculations.
2. Solution of nonlinear equations, separation of roots, the simplest methods.
3. Iterative methods for solving systems of linear equations.
4. Numerical integration.
5. Interpolation by polynomials and splines.
6. Function approximation. Metod of lest square.
7. Solution of ODE.
8. Combinatorics. Definitions of probability events - classical, geometrical, statistics. Conditional probability, Bayes' theorem. Bernoulli independent repeated trials.
9. Discrete random variable and continuous random variable. Functions of random variables. Moment-generating function,
quantiles.
10. Discrete and continuous probability distribution.
11. Statistical processing data with one or more arguments.
12. Empirical characteristics of statistical data.
13. Parameter estimation and testing of hypotheses.
14. Regression analysis.

Literature

Boháč, Zdeněk: Numerical Methods and Statistics, VŠB – TUO, Ostrava 2005,
ISBN 80-248-0803-X

Advised literature

Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications.
D.C.Heath and Company, Lexington1990, ISBN 0-669-21145-1 
James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993.
ISBN 0-201-56519-6