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Applications of integral calculus in natural and technical sciences with regard to teaching high school
VACKOVÁ, Helena
This thesis discusses the applicability of the Riemann integral in natural and technical sciences. The work is divided into three parts: introduction, theory and applicability of the Riemann integral. The introductory part deals with the history of the integral up to the 17th century. The theoretical part consists of the introduction of the Riemann integral, its properties, classes of integrable functions and curve length definitions. The main theorems and definitions needed for calculations are presented. The second part of the thesis deals with the applicability of the Riemann integrals in physics and mechanics. It contains general formula derivations for calculating some physical and technical variables. The Riemann integral is also used to determine the static moments and center of gravity of a homogeneous planar board.

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