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Teachers studies students difficulties concerning the generalization of the concept of the Riemann integral

Powązka Z., Zaręba L.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2007

Vol. 12

347-354

One of the most fundamental concepts of the mathematical analysis is the Riemann integral. For a teacher of mathematics the concept of the integral is important because of the connections with the Jordan measure which is considered in the elementary geometry. Besides the Riemann integral the course of mathematical analysis includes multiple integrals, line integrals and surface integrals. In this paper we present the results of our research concerning the difficulties of students in noticing mutual connections between different kinds of integrals.

On the Sincov functional equation

Piątek B.

Demonstratio Mathematica

2005

Vol. 38, nr 4

875--881

The Riemarm integral, the Hukuhara differences and derivatives will be applied to obtain solutions of the Sincov functional equation.