714-0565 – Basics of Mathematics (ZM)

Gurantor departmentDepartment of Mathematics and Descriptive Geometry
Subject guarantorMgr. Dagmar Dlouhá, Ph.D.
Study levelundergraduate or graduate
Subject version
Version codeYear of introductionYear of cancellationCredits
714-0565/01 1999/2000 2010/2011 1
714-0565/02 1999/2000 2008/2009 1
714-0565/03 2002/2003 2008/2009 2
714-0565/04 2002/2003 2005/2006 2
714-0565/05 2009/2010 2019/2020 1
714-0565/06 2009/2010 2019/2020 1
714-0565/07 2016/2017 2019/2020 1

Subject aims expressed by acquired skills and competences

Mathematics is 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 analyze problems, distinguish between important and unimportant, suggest a method of solution, verify each step of a method, generalize achieved results, analyze 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

Individual consultations
Tutorials
Other activities

Summary

The set of real numbers, operations with algebraic expressions, equations and inequalities, functions, exponential and logarithmic equations, trigonometric functions and equations, analytic geometry, arithmetic and geometric sequences.

Compulsory literature:

[1] Harshbarger, R.J. - Teynolds, J.J.: Calculus with Applications. D.C. Heath and Company, Lexington 1990, ISBN 0-669-21145-1

Recommended literature:

Basic textbooks on mathematics. http://mdg.vsb.cz/M

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.