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Terminated in academic year 2014/2015

Mathematics I

Type of study Bachelor
Language of instruction Czech
Code 714-0665/01
Abbreviation M I
Course title Mathematics I
Credits 7
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator Mgr. Jiří Vrbický, Ph.D.

Subject syllabus

1 Functions of one real variable (definitions and basic properties)
2 Elementary functions
3 Limit of the function, continuity of the functions , basic rules
4 Differential calculus functions of one real variable. the derivative of function (basic rules for differentiation)
5 Derivatives of selected functions
6 Differential of the function, parametric differentiation, highes-order derivative
7 Applications of the derivatives
8 Monotonic functions and extremes of function, convexity and concavity of a function
9 Linear algebra: Matrice (basic properties), determinants (basic properties, calculation, evaluation)
10 Matrix inversion
11 Systems of linear equations, Cramer’s rule
12 Gaussian elimination
13 Product of vectors (basic properties)
14 Analytical geometry in E3

Literature

Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3
Kreml, Pavel: Mathematics II, VŠB – TUO, Ostrava 2005, ISBN 80-248-0798-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.: Modern Engineering Mathematics. Addison-Wesley, 1992.
ISBN 0-201-1805456
James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993.
ISBN 0-201-56519-6