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undergraduate thesis
Neke primjene eksponencijalnog rasta i pada
2022. urn:nbn:hr:126:205682
Jelošek, Ana
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

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Jelošek, A. (2022). Neke primjene eksponencijalnog rasta i pada (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:205682

Jelošek, Ana. "Neke primjene eksponencijalnog rasta i pada." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:205682

Jelošek, Ana. "Neke primjene eksponencijalnog rasta i pada." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:205682

Jelošek, A. (2022). 'Neke primjene eksponencijalnog rasta i pada', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 16 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:205682

Jelošek A. Neke primjene eksponencijalnog rasta i pada [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2022 [cited 2024 November 16] Available at: https://urn.nsk.hr/urn:nbn:hr:126:205682

A. Jelošek, "Neke primjene eksponencijalnog rasta i pada", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:126:205682

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Metadata
TitleNeke primjene eksponencijalnog rasta i pada
Title (english)Some Applications of Exponential Growth and Decay
AuthorAna Jelošek
MentorKrešimir Burazin (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2022-09-02, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Analysis
Abstract
U ovom radu promatrat ćemo matematičke modele koji opisuju eksponencijalni rast i pad, a temelje se na primjeni običnih diferencijalnih jednadžbi sa separiranim varijablama. Za početak, upoznat ćemo se s eksponencijalnom funkcijom i njenim svojstvima, definirati pojam derivacije, diferencijalne jednadžbe, te rješenja diferencijalne jednadžbe. Zatim ćemo proučavati primjenu eksponencijalnog rasta i pada kroz različite modele, a to su: Malthusov i Verhulstov model rasta populacije, Newtonov model hlađenja, model radioaktivnog raspada tvari, model cijeljenja rana, te model koji opisuje promjenu atmosferskog tlaka s visinom.
Abstract (english)
In this paper we will observe mathematical models that explain exponential growth and decay based on ordinary differential equations with separable variables. Firstly, we will introduce exponential function and its properties, define the notion of derivative, differential equation and its solutions. Then we will study the application of exponential growth and decay through various models such as Malthus and Verhulst’s models of population growth, Newton’s law of cooling, the model of radioactive decay, the model of wound healing as well as the model of change in the atmosphere with altitude.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:205682
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 on2022-09-21 06:53:39