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university of maribor faculty of chemistry and chemical engineering ...

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Predmet:Subject Title:Univerza v MariboruUniversity <strong>of</strong> MariborFakulteta za kemijo inkemijsko tehnologijoFaculty <strong>of</strong> Chemistry <strong>and</strong>Chemical EngineeringUČNI NAČRT PREDMETA / SUBJECT SPECIFICATIONMatematika IMathematics IŠtudijski programStudy programmeKemijska tehnologijaChemical TechnologyŠtudijska smerStudy fieldLetnikYear1.SemesterSemesterzimskiAutumnUniverzitetna koda predmeta / University subject code:PredavanjaLecturesSeminarSeminarSem. vajeTutorialLab. vajeLabor workTeren. vajeField workSamost. deloIndivid. work45 30 165 8ECTSNosilec predmeta / Lecturer:Petra Ţigert PleteršekJeziki /Languages:Predavanja / Lecture: slovenski / SloveneVaje / Tutorial: slovenski / SlovenePogoji za vključitev v delo oz. za opravljanještudijskih obveznosti:NePrerequisits:NoneVsebina:Osnovni pojmi:številske mnoţice in računske operacije.Realne funkcije:definicija in osnovni pojmi, graf, pregledelementarnih funkcij in njihovih lastnosti, realnazaporedja, limita funkcije, zvezne funkcije innjihove lastnosti .Diferencialni račun:definicija odvoda, geometrijski pomen, pravila zaodvajanje, odvodi elementarnih funkcij, diferencial,izreki o odvedljivih funkcijah, uporaba odvoda,Taylorjeva formula.Content (Syllabus outline):Basic concepts:number sets <strong>and</strong> calculating operations, basicproperties <strong>of</strong> maps.Real functions:definition, basic concepts, graph, review <strong>of</strong>elementary functions <strong>and</strong> their properties, realsequences, limit <strong>of</strong> the function, continuous functions<strong>and</strong> their properties.Differential calculus:definition <strong>of</strong> the derivative, geometrical interpretation,derivation rules, derivatives <strong>of</strong> elementary functions,differential, theorems on differentiable functions, use<strong>of</strong> the derivative, Taylor formula.Temeljni literatura in viri / Textbooks:- P. Ţigert, Matematika za študente VS programa, FKKT Maribor, v pripravi – predvidena izdaja vseptembru 2008- B. Butinar, Matematika I, naloge z rešitvami, FKKT Maribor, 2004- J. Ţerovnik, I. Banič, I. Hrastnik, S. Špacapan, Zbirka rešenih nalog iz tehniške matematike, FSMaribor, 20031

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