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sisvu:description Cilj kolegija Matematika I je upoznavanje studenata s osnovnim pojmovima diskretne matematike (kao što su matematički modeli, matematička logika te skupovi i relacije) i linearne algebre(matrice, determinante, sustavi linearnih jednadžbi i nejednadžbi) koji su neophodni za prihvaćanje kvantitativnih aspekata znanja u informacijskim i organizacijskim znanostima te priprema studenata za logičko razmišljanje u znanosti i poslovanju. Predmet ima i generičke ciljeve kao što su timski rad, prezentacijske vještine (usmeno i pismeno izražavanje), razumijevanje modela, upotreba literature i razvoj ICT vještina, te posebno strategije rješavanja problemskih zadataka. Nadalje, koncepcija rada omogućava razvoj vještina apstrakcije kod studenata. (hr)
sisvu:description Objectives: Introduction to the basic notions of discrete mathematics and linear algebra, necessary for acquiring the quantitative aspects of knowledge in information and organizational sciences. Preparation of students for logical thinking in science and business. Course Content : Mathematical models and the structure of mathematics. Propositions and operations between them. Formulas of the algebra of propositions. Normal forms and minimization. Predicates and quantifiers. Sets. Binary relations. Partial order relation. Functions as relations. Definition of a matrix, special types of matrices. Operations involving matrices. Determinants. Properties of determinants. Laplace?s development of the determinant. Inverse matrices. Equations with matrices. System of m linear equations in n unknowns. Gauss - Jordan elimination. Rank of a matrix. Homogeneous system of linear equations. Systems of linear inequalities. (en)
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