Osnovni teorem infinitezimalnog računa i njegova realizacija u srednjoškolskoj nastavi matematike

Ivačić, Nikolina (2014) Osnovni teorem infinitezimalnog računa i njegova realizacija u srednjoškolskoj nastavi matematike. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

In this thesis we have seen various embodiments of the Fundamental Theorem of Calculus. This complex mathematical concept we ”transposed” to the high school level in order to facilitate its understanding to students. The main goal of this thesis was to show that Fundamental Theorem does not only serve as a tool for calculating a definite integral, but its meaning is much deeper. The main significance of this theorem is that the definite integral of the rate of change of a function over an interval is the total amount of that function value accumulated in that interval. This understanding facilitates us to solve graphical tasks in physics and in the real world. Unfortunately, in the secondary and tertiary mathematics literature has little (or no) examples on which is developing an intuitive understanding of the Fundamental Theorem.

Item Type: Thesis (Diploma thesis)
Supervisor: Milin-Šipuš, Željka
Date: 2014
Number of Pages: 80
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 02 Jun 2015 11:55
Last Modified: 16 Feb 2016 13:49
URI: http://digre.pmf.unizg.hr/id/eprint/3949

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