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sisvu:academicYear 2006 (xsd:int)
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sisvu:description Matematika II (4+3) 5,5 /Realne funkcije više realnih varijabli. Parcijalne derivacije. Tangencijalna ravnina i normala na plohu. Taylorova formula i Taylorov red. Ekstremi i vezani ekstremi. Dvostruki i trostruki integrali s primjenama u geometriji i mehanici. Pojam vektorske funkcije. Krivulje u prostoru, zakrivljenost, torzija, trobrid pratilac. Skalarna i vektorska polja, gradijent, divergencija i rotor. Krivuljni i plošni integrali. Greenova i Stokesova formula. Teorem o divergenciji. Obične diferencijalne jednadžbe. Metode rješavanja. Linearne diferencijalne jednadžbe. Harmonijski oscilator. Funkcije kompleksne varijable. Derivacija. Analitičke funkcije. Komforno preslikavanje. Integral i Cauchyev teorem. (hr)
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