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Terminated in academic year 2019/2020

Mathematics I

Type of study Bachelor
Language of instruction Czech
Code 714-0366/02
Abbreviation MI
Course title Mathematics I
Credits 5
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator Mgr. Monika Jahodová, Ph.D.

Subject syllabus

I. Functions of one real variable
Definitions and basic properties, elementary functions, limit of the function, continuity of the functions, basic rules

II. Differential calculus functions of one real variable
The derivative of function (basic rules for differentiation), derivatives of selected functions, differential of the function, parametric differentiation, highes-order derivative, applications of the derivatives, monotonic functions and extremes of function, convexity and concavity of a function

I. Linear algebra and analytical geometry
Matrice (basic properties), determinants (basic properties, calculation, evaluation), matrix inversion, systems of linear equations, Cramer’s rule, Gaussian elimination, product of vectors (basic properties), analytical geometry in E3

Literature

[1] BIRD, J.: Engineering Mathematics, 4th ed. Newnes 2003.
[2] DOLEŽALOVÁ, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3
[3] NEUSTUPA, J.: Mathematics I., ČVUT, Praha 2004

Advised literature

Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications. D.C.Heath and Company, Lexington 1990, 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