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Mathematics 1

Code: 68020
ECTS: 5.0
Lecturers in charge: v. pred. dr. sc. Nives Baranović
Lecturers: v. pred. dr. sc. Nives Baranović - Seminar
Take exam: Studomat

1. komponenta

Lecture typeTotal
Lectures 30
Seminar 30
* Load is given in academic hour (1 academic hour = 45 minutes)
Course objectives:
Consolidating and building on student's prior knowledge of the structure of mathematics, numbers and strategies, and developing strategies for solving mathematical problems and problems that are reduced to a mathematical model. Further develop mathematical literacy through the use of mathematical language in speech and writing as well as the ability of mathematical thinking. Through developing a positive relationship towards learning and teaching, responsibility for one's success and progress, as well as awareness of their mathematical abilities, along with applications of previously described competencies, students are expected to build a firm foundations for lifelong learning and continued education.

Course content:
Introductory: introduction to learning objectives and outcomes, curriculum,assessment methods and assessment criteria.
1. Basic and derived mathematical concepts (2)
2. Axioms and theorems (2)
3. Proofs: direct, indirect, visual (2)
4. Fundamentals of mathematical logic (2)
Basics of sets (2)
6. Basics of functions (2)
7. From set N to set R. Basic numerical operations and their properties (2)
8. Division in set N0. (2)
9. Properties of sets, N, Z, Q, I and R (countability, density, real number line) (2)
10. Real functions of real argument (4)
11. Equations and inequalities (4)
12. Modelling (4)
Learning outcomes:
  1. Matematika 1, , Baranović, N, Nastavni materijal dostupan na:, 2019.
  2. Mathematics for Elementary Teachers: a Contempporary Approach, , Musser, G.L, Burger, W.F., Peterson, B.E, John Wiley & Sons, Inc, USA, 2006.
Optional literature:
  1. Elementarna matematika I, , Pavković, B., Veljan, D, Školska knjiga, Zagreb, 2004.
  2. Matematika i zdrav razum, , Pauše, Ž., Školska knjiga, Zagreb, 2007.
  3. Čudesna matematika: pogled iznutra i izvana, , Devide, V, HMD, Zagreb, 2010.
  4. Tako poučavamo matematiku, , Pelle, B, Školske novine i HMD, Zagreb, 2004.
3. semester
Mandatory course - Regular studij - Teacher Education
Consultations schedule: