Primjene integrala funkcije jedne varijable

Tomljenović, Marija

undergraduate thesis

Primjene integrala funkcije jedne varijable

Tomljenović, Marija (2017)

Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Applied Mathematics Research Group

Cite this document

APA 6th Edition

Tomljenović, M. (2017). Primjene integrala funkcije jedne varijable (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:703013

MLA 8th Edition

Tomljenović, Marija. "Primjene integrala funkcije jedne varijable." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:703013

Chicago 17th Edition

Harvard

Tomljenović, M. (2017). 'Primjene integrala funkcije jedne varijable', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 09 August 2020, https://urn.nsk.hr/urn:nbn:hr:126:703013

Vancouver

Tomljenović M. Primjene integrala funkcije jedne varijable [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2020 August 09] Available at: https://urn.nsk.hr/urn:nbn:hr:126:703013

IEEE

M. Tomljenović, "Primjene integrala funkcije jedne varijable", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:703013

Cite this item: https://urn.nsk.hr/urn:nbn:hr:126:703013

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Metadata

Title	Primjene integrala funkcije jedne varijable
Title (english)	Application of Integrals of One-dimensional Functions
Author	Marija Tomljenović
Mentor	Kristian Sabo (mentor)
Granter	Josip Juraj Strossmayer University of Osijek Department of Mathematics (Chair of Applied Mathematics) (Applied Mathematics Research Group) Osijek
Defense date and country	2017-02-13, Croatia
Scientific / art field, discipline and subdiscipline	NATURAL SCIENCES Mathematics Mathematical Analysis
Abstract	Cilj je pokušati prikazati razne načine na koje izračunavanje integrala može pomoći u različitim znanostima. Promatrat ćemo kako se integrali primjenjuju u geometriji, fizici, kemiji, ekonomiji, te numeričkoj matematici, uz niz primjera. U geometriji integral koristimo za izračunavanje površine ravnih likova, rektikacija krivulje, određivanje volumena i površine rotacijskih tijela. Zatim primjene u fizici na računanje statičkih momenata i koordinata težista, te nekoliko primjera za računanje puta,rada sile, kinetičke energije i tlaka tekućine. Primjene integrala u kemiji prikazat ćemo kroz niz primjera od kojh su neki iz područja kemijske termodinamike, problemi volumnog rada idealnog plina, i sl. U numeričkoj matematici koristi se aproksimativno izračunavanje vrijednosti integrala na nekom danom segmentu pomoću različiih metoda, primjerice trapezna formula, Newton - Cotesove formule, Simpsonova formula, te generalizirane trapezna i Simpsonova formula. Ekonomija pak koristi integrale pri promatranju količine investicija kao akumulirani kapital tokom vremena. Određeni integral možemo koristiti i pri određivanju dodatnih ukupnih trosšova poizvodnje na određenom stupnju proizvodnje.
Abstract (english)	The goal is to try to show dierent ways how integrals can help in dierent science. We will consider how we can use integrals in geometry, physics, chemistry, economy and numeric mathematic, with lot of exemples. In geometry we can use integrals for calculate areas of geometric gures, determining the arc length, determining the volume and the area of rotating bodies. Applications in physics are for caalculating static momets, coordinates of the center of gravity, and few examples for calculating the path, work force, kinetic energy and uid pressure. In chemistry we will show some examples from chemical thermodynamics, problems of the volume of work of the ideal gas, etc. In numeric mathematic we use approximate calculation the values of the integrals on some given segment with dierent metods such as trapezoidal formula, Newton - Cotes formulas, Simpson's formula, and generalized trapezoidal and Simpson's formula. Economy use integrals for observing the amount of investment like accumulated capital over time. Denite integral we can use for identifying additional total costs of production on specify level. 30
Keywords
Language	croatian
URN:NBN	urn:nbn:hr:126:703013
Study programme	Title: University undergraduate study programme in mathematics Study programme type: university Study level: undergraduate Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resource	Text
File origin	Born digital
Access conditions	Open access
Terms of use
Created on	2017-02-17 09:03:05