Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
Permanent URI for this collectionhttps://hdl.handle.net/11147/7148
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Article Citation - WoS: 17Citation - Scopus: 19Lebesgue-Stieltjes Measure on Time Scales(TUBITAK, 2009) Deniz, Aslı; Ufuktepe, ÜnalThe theory of time scales was introduced by Stefan Hilger in his Ph. D. thesis in 1988, supervised by Bernd Auldbach, in order to unify continuous and discrete analysis [5]. Measure theory on time scales was first constructed by Guseinov [4], then further studies were made by Guseinov-Bohner [1], Cabada-Vivero [2] and Rzezuchowski [6]. In this article, we adapt the concept of Lebesgue-Stieltjes measure to time scales. We define Lebesgue-Stieltjes Δ and ▶-measures and by using these measures, we define an integral adapted to time scales, specifically Lebesgue-Stieltjes Δ-integral. We also establish the relation between Lebesgue-Stieltjes measure and Lebesgue-Stieltjes Δ-measure, consequently between Lebesgue-Stieltjes integral and Lebesgue-Stieltjes Δ-integral.Conference Object E-Calculus at Iztech(Springer Verlag, 2006) Ufuktepe, Ünal; Ufuktepe, Günnur; Deniz, Aslı; Dündar, VeliIn today's new economy, characterized by industrial revolutions, globalization and information technology changes traditional classroom and teaching methods. Calculus is the basic course for the fresher at university. Mathematics has a negative development at universities and colleges. The number of students taking mathematics courses and those successfully passing the exams are rapidly decreasing. To overturn this negative development, it may be necessary to teach in a different way. This is where new technology could play an important role. We create a web browser environment by using the webMathematica, which is a new technology based on Java Server Page, Tomcat and Mathematica, in learning calculus. The modules consist of topic modules linked with case study modules, to help learn calculus and see it in context. The aim of our project is to use new technology to present mathematics on the web, and create a pilot course for students and teachers available free on the web. The heart of our approach is the development of mathematical power: understanding, using, and appreciating mathematics. Students can reach any documents for calculus and solve their problems with webMathematica to check whether their results are correct or not. It is possible to reach our page at the following URL address: http://galois.iyte.edu.tr/calculus.