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undergraduate thesis
Derivacija vektorske funkcije i primjene
2024. urn:nbn:hr:126:272751
Garaj, Sara
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Cite this document

Garaj, S. (2024). Derivacija vektorske funkcije i primjene (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:272751

Garaj, Sara. "Derivacija vektorske funkcije i primjene." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:272751

Garaj, Sara. "Derivacija vektorske funkcije i primjene." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:272751

Garaj, S. (2024). 'Derivacija vektorske funkcije i primjene', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 25 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:272751

Garaj S. Derivacija vektorske funkcije i primjene [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 December 25] Available at: https://urn.nsk.hr/urn:nbn:hr:126:272751

S. Garaj, "Derivacija vektorske funkcije i primjene", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:272751

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Metadata
TitleDerivacija vektorske funkcije i primjene
Title (english)Derivaties of Vector Functions and Applications
AuthorSara Garaj
MentorJelena Jankov Pavlović (mentor)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-09-06, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Applied Mathematics and Mathematical Modeling
Abstract
U ovom radu istražit ćemo osnovne pojmove vezane uz vektorske funkcije. Na početku ćemo definirati vektorsku funkciju, njezin limes, derivaciju i neprekidnost. Nadalje, prikazat ćemo i objasniti geometrijsku interpretaciju vektorskih funkcija. U drugom dijelu rada definirat ćemo ključne pojmove kao što su skalarno polje, vektorsko polje, gradijent, rotacija i divergencija te iskazati i pokazati neka njihova svojstva. Nakon toga, u trećem poglavlju bavit ćemo se primjenama vektorske funkcije u različitim područjima matematike i fizike. Analizirat ćemo zakrivljenost krivulje te uvesti pojam brzine i akceleracije kao derivacije vektorske funkcije položaja. Na kraju, proučit ćemo Keplerove zakone koji imaju iznimnu važnost u astronomiji.
Abstract (english)
In this paper, we will explore basic concepts related to vector functions. At the beginning, we will define the vector function, its limes, derivative and continuity. Furthermore, we will show and explain the geometric interpretation of vector functions. In the second part of the paper, we will define key terms such as scalar field, vector field, gradient, rotation and divergence, and state and show some of their properties. After that, in the third chapter, we will deal with the applications of the vector function in different areas of mathematics and physics. We will analyze the curvature of the curve and introduce the concept of speed and acceleration as derivatives of the position vector function. Finally, we will study Kepler’s laws, which are extremely important in astronomy.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:272751
Study programmeTitle: University Bachelor of Mathematics (univ. bacc. math.)
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 on2024-09-13 06:14:10