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Mathematics I

Type of study Bachelor
Language of instruction English
Code 310-2211/03
Abbreviation M I
Course title Mathematics I
Credits 7
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator RNDr. Jan Kotůlek, Ph.D.

Osnova předmětu

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). Analytical geometry in E3

E-learning

Povinná literatura

[1] DOLEŽALOVÁ, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3, http://mdg.vsb.cz/portal/en/Mathematics1.pdf
[2] BIRD, J. O. Higher engineering mathematics. Eighth edition. London: Routledge, Taylor & Francis Group, 2017. ISBN 978-1-138-67357-1 
[3] TRENCH, W.F.: Introduction to real analysis, Free Edition 1.06, January 2011,ISBN 0-13-045786-8 

Doporučená literatura

[1] James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993. ISBN 0-201-56519-6