714-0068 – Mathematics I (MI)

Gurantor departmentDepartment of Mathematics and Descriptive Geometry
Subject guarantordoc. Ing. Martin Čermák, Ph.D.
Study levelundergraduate or graduate
Subject version
Version codeYear of introductionYear of cancellationCredits
714-0068/01 2002/2003 6
714-0068/02 2002/2003 6

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

Lectures
Individual consultations
Tutorials
Other activities

Summary

The functions of one real variable, the derivation of a function of one variable. Derivations of higher orders. Investigating the behaviour of functions. Antiderivative and the indefinite integral, some properties, elementary methods of integration. Linear algebra: Arithmetic vectors, matrices, determinants, systems of linear algebraic equations.

Compulsory literature:

Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3

Recommended literature:

[1] Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications. D.C.Heath and Company, Lexington1990, ISBN 0-669-21145-1 [2] James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992. ISBN 0-201-1805456 [3] 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.