310-2211 – Mathematics I (M I)

Gurantor department	Department of Mathematics and Descriptive Geometry
Subject guarantor	Mgr. Petr Otipka, Ph.D.
Study level	undergraduate or graduate

Subject version
Version code	Year of introduction	Year of cancellation	Credits
310-2211/01	2019/2020		7
310-2211/02	2020/2021		6
310-2211/03	2023/2024		7

Subject aims expressed by acquired skills and competences

The goal of mathematics is train logical reasoning than mere list of mathematical notions, algorithmus and methods. Students should learn how to analyze problem,suggest a method of solution, analyze correctness of achieved results with respect to given conditions.

Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

Summary

Differential calculus of function of one real independent variable: function of one variable, elementary functions, limit and continuity of a function, differentiation, extreme values of function, point of inflection, convex and concave function, L’Hospital’s rule. Linear algebra: determinants, matrices, systems of linear equations. Analytic geometry of the 3-dimensional space.

Compulsory literature:

[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

Recommended literature:

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

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.