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Terminated in academic year 2013/2014

Compendium of Mathematics

Type of study Bachelor
Language of instruction Czech
Code 714-0331/01
Abbreviation RzM
Course title Compendium of Mathematics
Credits 0
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator Mgr. Milena Luňáčková, Ph.D.

Subject syllabus

1 The sets of real numbers, basic properties
2 Determinants (calculation, evaluation)
3 Matrix operations
4 Matrix inversion
5 Systems of linear equations, Cramer’s rule
6 Gaussian elimination
7 Functions of one real variable (definitions and basic properties)
8 Inverse functions
9 Derivatives of selected functions
10 Monotonic functions and extremes of function
11 Convexity and concavity of a function
12 Product of vectors (basic properties)
13 Analytical geometry in E3

Literature

Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3

Advised literature

Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990