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Mathematics III

Type of study Bachelor
Language of instruction Czech
Code 310-2121/02
Abbreviation MIII
Course title Mathematics III
Credits 4
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator Ing. Petra Schreiberová, Ph.D.

Subject syllabus

1. Combinatorics.
2. Random events, operations with them, sample space.
3. Definitions of probability events - classical, geometrical, statistics.
4. Conditional probability, Bayes' theorem.
5. Bernoulli independent repeated trials.
6. Functions of random variables. Moment-generating function, quantiles.
7. Discrete probability distribution.
8. Continuous probability distribution.
9. Statistical methods, descriptive statistics.
10. Observed data. Point estimators, interval estimators.
11. Statistical hypothesis testing – the testing process, interpretation, importance.
13. Correlation and 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.