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undergraduate thesis
Primjene diferencijalnog i integralnog računa u fizici
2021. urn:nbn:hr:126:371425
Tucak-Roguljić, Ivana
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

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Tucak Roguljić, I. (2021). Primjene diferencijalnog i integralnog računa u fizici (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:371425

Tucak Roguljić, Ivana. "Primjene diferencijalnog i integralnog računa u fizici." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:371425

Tucak Roguljić, Ivana. "Primjene diferencijalnog i integralnog računa u fizici." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:371425

Tucak Roguljić, I. (2021). 'Primjene diferencijalnog i integralnog računa u fizici', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 11 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:371425

Tucak Roguljić I. Primjene diferencijalnog i integralnog računa u fizici [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2021 [cited 2024 November 11] Available at: https://urn.nsk.hr/urn:nbn:hr:126:371425

I. Tucak Roguljić, "Primjene diferencijalnog i integralnog računa u fizici", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:126:371425

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Metadata
TitlePrimjene diferencijalnog i integralnog računa u fizici
Title (english)Applications of Differential and Integral Calculus in Physics
AuthorIvana Tucak-Roguljić
MentorKrešimir Burazin (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2021-09-22, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Applied Mathematics and Mathematical Modeling
Abstract
U ovom radu promatrat ćemo derivacije i integrale funkcije jedne varijable te njihovu primjenu u fizici. Najprije ćemo definirati derivaciju pomoću limesa te povezati neprekidnost i derivabilnost. S primjenom derivacija u fizici krećemo od problema brzine kod kojeg ćemo uvesti pojam akceleracije i razjasniti kružno gibanje. Zatim ćemo korištenjem derivacije proučiti jakost električne struje i linearnu gustoću mase. Interpretacijom problema površine uvest ćemo pojam integrala. Nakon toga, pojasnit ćemo vezu neprekidnosti i integrabilnosti te svojstva integrala. U nastavku ćemo dokazati Newton-Leibnizovu formulu koja je jedan od osnovih teorema integralnog računa. Na kraju, kao primjenu integrala u fizici analizirat ćemo rad sile te moment i težište nekog sustava.
Abstract (english)
In this paper, derivatives and integrals of a function of a single variable, and their application in physics will be observed. We will first define derivative by using limit and establish a connection between continuity and derivability. With the application of derivatives in physics, we start from the problem of velocity, in which we introduce the concept of acceleration and a clarification of circular motion. Then, using derivative, we will study current strength and linear mass density. By interpreting the surface problem, we introduce the notion of integrals. After that, we will explain the connection between continuity and integrability and the properties of integrals. Further, we will prove the Newton-Leibniz formula which is one of the basic theorems of integral calculus. Finally, as an application of integrals in physics, we will analyze the work of force, as well as the moment and center of gravity of a system.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:371425
Study programmeTitle: 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 resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-10-25 11:01:32