714-0266 – Mathematics I (BcM1)

Gurantor departmentDepartment of Mathematics and Descriptive Geometry
Subject guarantorRNDr. Petr Volný, Ph.D.
Study levelundergraduate or graduate
Subject version
Version codeYear of introductionYear of cancellationCredits
714-0266/01 2003/2004 2005/2006 7
714-0266/02 1999/2000 2017/2018 7
714-0266/03 1999/2000 2017/2018 6
714-0266/04 2011/2012 2017/2018 7
714-0266/05 2011/2012 7
714-0266/06 2012/2013 6
714-0266/07 2012/2013 5
714-0266/08 2021/2022 6
714-0266/09 2012/2013 4
714-0266/10 2019/2020 6
714-0266/11 2019/2020 6
714-0266/12 2019/2020 6
714-0266/13 2019/2020 6

Subject aims expressed by acquired skills and competences

Goals and competence Mathematics is an essential part of education on technical universities. It should be considered rather the method in the study of technical courses than a goal. Thus the goal of mathematics is train logical reasoning than mere list of mathematical notions, algorithms and methods. Students should learn how to analyse problems, distinguish between important and unimportant, suggest a method of solution, verify each step of a method, generalize achieved results, analyse correctness of achieved results with respect to given conditions, apply these methods while solving technical problems, understand that mathematical methods and theoretical advancements outreach the field mathematics.

Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

Summary

Mathematics I is connected with secondary school education. It is divided in three parts, differential calculus of functions of one real variable, linear algebra and analytic geometry in the three dimensional Euclidean space E3. The aim of the first chapter is to handle the concept of a function and its properties, a limit of functions, a derivative of functions and its application. The second chapter emphasizes the systems of linear equations and the methods of their solution. The third chapter introduces the basics of vector calculus and basic linear objects in three dimensional space.

Compulsory literature:

Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3, http://mdg.vsb.cz/portal/en/Mathematics1.pdf. Trench, W.F.: Introduction to real analysis, Free Edition 1.06, January 2011, ISBN 0-13-045786-8.

Recommended literature:

Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990, ISBN 0-669-21145-1.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.