About this paper

Appears in:
Pages: 1209-1212
Publication year: 2012
ISBN: 978-84-616-0763-1
ISSN: 2340-1095

Conference name: 5th International Conference of Education, Research and Innovation
Dates: 19-21 November, 2012
Location: Madrid, Spain

USING INTEGRAL CALCULUS TO DEFINE SOME ELEMENTARY FUNCTIONS AS A NEW WAY TO TEACH SOME PARTS OF CALCULUS

I. Vadovičová, M. Marčoková

University of Žilina (SLOVAKIA)
In the contribution we define some basic elementary functions and derive their properties using integral calculus of a real function of one real variable. In doing so we assume that students have been acquainted with fundamentals of differential and integral calculus only, hence the introducing of some elementary functions arises directly of this assumption. Such a concept of teaching and studying elementary functions could be more attractive for students than usual ways of teaching them. This way of teaching calculus could be realized e. g. at secondary schools with groups of students talented in mathematics (if they have optional seminars on mathematics) or at the first year of university study programmes of various types during courses on calculus. Another possibility of teaching the calculus in such a way could reach good results when it would be applied at teacher training study programmes, so that the future teachers at secondary schools could obtain new skills to form their students in mathematical reasoning. We will point out also connections with some special functions defined by integrals that are often used in advanced mathematics and its applications.

Acknowledgement: This work has been supported by the Slovak grant agency KEGA under the grant No. 057ŽU - 4/2012.
@InProceedings{VADOVICOVA2012USI,
author = {Vadovičov{\'{a}}, I. and Marčokov{\'{a}}, M.},
title = {USING INTEGRAL CALCULUS TO DEFINE SOME ELEMENTARY FUNCTIONS AS A NEW WAY TO TEACH SOME PARTS OF CALCULUS},
series = {5th International Conference of Education, Research and Innovation},
booktitle = {ICERI2012 Proceedings},
isbn = {978-84-616-0763-1},
issn = {2340-1095},
publisher = {IATED},
location = {Madrid, Spain},
month = {19-21 November, 2012},
year = {2012},
pages = {1209-1212}}
TY - CONF
AU - I. Vadovičová AU - M. Marčoková
TI - USING INTEGRAL CALCULUS TO DEFINE SOME ELEMENTARY FUNCTIONS AS A NEW WAY TO TEACH SOME PARTS OF CALCULUS
SN - 978-84-616-0763-1/2340-1095
PY - 2012
Y1 - 19-21 November, 2012
CI - Madrid, Spain
JO - 5th International Conference of Education, Research and Innovation
JA - ICERI2012 Proceedings
SP - 1209
EP - 1212
ER -
I. Vadovičová, M. Marčoková (2012) USING INTEGRAL CALCULUS TO DEFINE SOME ELEMENTARY FUNCTIONS AS A NEW WAY TO TEACH SOME PARTS OF CALCULUS, ICERI2012 Proceedings, pp. 1209-1212.
User:
Pass: