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master's thesis
Funkcije i njihovi grafovi
2024. urn:nbn:hr:126:179773
Pavlović, Valerija
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

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Pavlović, V. (2024). Funkcije i njihovi grafovi (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:179773

Pavlović, Valerija. "Funkcije i njihovi grafovi." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:179773

Pavlović, Valerija. "Funkcije i njihovi grafovi." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:179773

Pavlović, V. (2024). 'Funkcije i njihovi grafovi', Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 10 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:179773

Pavlović V. Funkcije i njihovi grafovi [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 November 10] Available at: https://urn.nsk.hr/urn:nbn:hr:126:179773

V. Pavlović, "Funkcije i njihovi grafovi", Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:179773

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Metadata
TitleFunkcije i njihovi grafovi
Title (english)Functions and Their Graphs
AuthorValerija Pavlović
MentorIvan Matić (mentor)
Committee memberTomislav Marošević (predsjednik povjerenstva)
Committee memberIvan Matić (član povjerenstva)
Committee memberLjerka Jukić Matić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-07-15, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovom diplomskom radu istražuju se koncepti i svojstva realne funkcije realne varijable. Definira se pojam funkcije i karakteristike poput injekcije, surjekcije i bijekcije te prikaza njihovih grafova. Nadalje, analiziraju se svojstva funkcija kao što su parnost, periodičnost, monotonost i omeđenost kroz primjere koji ilustriraju njihov utjecaj na grafički prikaz. Proučava se metodologija crtanja grafova funkcija, analizira se graf inverzne funkcije, rješavanje jednadžbi pomoću grafičkog prikaza te transformacije grafa funkcija. Također, rad se bavi integracijom funkcija u Kurikulum nastavnog predmeta Matematika kroz osnovnoškolsko i srednjoškolsko obrazovanje, s naglaskom na primjere i miskoncepcije vezane uz kvadratnu funkciju.
Abstract (english)
This master’s thesis explores the concepts and properties of real functions of a real variable. It defines the concept of a function and characteristics such as injectivity, surjectivity, and bijectivity, as well as the representation of their graphs. Furthermore, it analyzes properties such as parity, periodicity, monotonicity, and boundedness through examples illustrating their impact on graphical representation. The methodology for drawing function graphs is examined, along with the analysis of the inverse function graph, solving equations using graphical representations, and transformations of function graphs. Additionally, the thesis addresses the integration of functions into the Mathematics curriculum in elementary and secondary education, with a focus on examples and misconceptions related to quadratic functions.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:179773
Study programmeTitle: Graduate program – Mathematics and Informatics Education; specializations in: University Master’s Degree in Mathematics and Computer Science Education (univ. mag. educ. math. et inf.
Course: University Master’s Degree in Mathematics and Computer Science Education (univ. mag. educ. math. et inf.
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistar/magistra edukacije matematike i informatike (magistar/magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-07-19 07:45:36