Sveska sa vježbi iz predmeta Matematika 1 -...
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Univerzitet u Zenici Mašinski fakultet Akademska 2009/2010.
Sveska sa vježbi iz predmeta Matematika 1Smjer: Opšte mašinsvo
Sedmica br. 1 Osnovni pojmovi iz Matematike • Algebarski izrazi 3 • Kvadratne jedna ine i kvadratne funkcije 6 • Trigonometrija 9
Sedmica br. 2 Uvod u Matematiku • Matemati ka indukcija 11 • Binomna formula (obrazac) 15
Sedmica br. 3 Uvod u Matematiku • Kompleksni brojevi 19
Sedmica br. 4 Uvod u linearnu algebru • Matrice 27 • Determinante 30 • Rang matrice 33
Sedmica br. 5 Uvod u linearnu algebru • Inverzna matrica 35 • Matri ne jedna ine 37
Sedmica br. 6 Uvod u linearnu algebru • Sistemi linearnih jedna ina 43 • Gaussov postupak 43 • Metoda determinanti (Cramerova metoda) 44 • Kroneker-Kapelijeva metoda 48 • Homogeni sisemi linearnih jedna ina 50
Sedmica br. 7 Vektorski ra un • Vektori 51 • Skalarni proizvod dva vektora 56
Sedmica br. 8 Vektorski ra un • Vektorski proizvod dva vektora 59 • Mješoviti proizvod tri vektora 62
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Sedmica br. 9 Analiti ka geometrija u prostoru • Ravan 67 • Prava u prostoru 71
Sedmica br. 10 Analiti ka geometrija u prostoru • Prava u prostoru 75 • Prava i ravan 76
Sedmica br. 11 Uvod u Analizu • Brojni nizovi. 83 • Aritmeti ki niz. 83 • Geometriski niz. 84 • Monotoni nizovi. 84 • Grani na vrijednost niza. 85 • Operacije sa limesima. 85 • Grani na vrijednost funkcije. 87
Sedmica br. 12 Uvod u Analizu • Izvodi funkcija. 91 • Izvodi složenih funkcija. 95 • Primjena izvoda u geometriji. 97 • Izvodi višeg reda. 98
Sedmica br. 13 Uvod u Analizu • L'Hospital-Bernoullijevo pravilo. 99 • Ispitivanje funkcija. 101
Sedmica br. 14 Uvod u Analizu • Ispitivanje funkcija. 101
Sedmica br. 15 Uvod u Analizu • Ispitivanje funkcija. 109 • Eksponencijalne funkcije. 115 • Logaritamske funkcije. 119
Literatura za dodatno istraživanje: • Matematika 1 za tehni ke fakultete; Ze i , Huskanovi , Alajbegovi • Zbirka zadataka iz više Matematike; Uš umli , Mili i • Zadaci i riješeni primjeri iz više matematike s primjenom na tehni ke nauke; Demidovi • Zbirka zadataka iz Matematike; Stojanovi • Sbornik zadach po kursu matematicheskogo analiza; Berman
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