1. komponenta

Lecture type	Total
Lectures	30
Exercises	30

* Load is given in academic hour (1 academic hour = 45 minutes)

COURSE OBJECTIVES:
The goal of the course Mathematics 1 is to acquire an overview of basic concepts related to numbers and elementary functions and the basics of differential and integral calculus.

COURSE CONTENT:

LECTURES AND EXERCISES
1) Sets; Functions; Domain and codomain;
2-3) Overview of elementary functions;
5) Limits and continuity;
6) Notion of derivation, tangent and velocity;
7) Convexity and concavity;
8) Studying the function flow;
9) Sketching a function graph;
10) Optimisation problems; minima and maxima
11) Discrete models of the population growth;
12) Calculating of areas and volumes; the notion of integral;
14) Basic integration techniques;
15) Modelling with logarithms.

1. Matematička analiza 1, S. Kurepa, Matematička analiza 1 (Školska knjiga, Zagreb, 1975.), S. Kurepa, Školska knjiga, Zagreb, 1975.
2. Uvod u matematiku, S. Kurepa, Uvod u matematiku (Tehnička knjiga, Zagreb, 1984.), S. Kurepa, Tehnička knjiga, Zagreb, 1984.
3. Zadaci i riješeni primjeri iz više matematike, B. P. Demidovič, Zadaci i riješeni primjeri iz više matematike (Tehnička knjiga, Zagreb, 1978.), B. P. Demidovič, Tehnička knjiga, Zagreb, 1978.
4. Schaum's Outline of Calculus, E. Mendelson, F. Ayres, Schaum's Outline of Calculus (McGraw-Hill, New York, 2001.), E. Mendelson, F. Ayres, McGraw-Hill, New York, 2001.
5. Matematička analiza 1, P. Javor, Matematička analiza 1 (Element, Zagreb, 1999.), P. Javor, Element, Zagreb, 1999.

Mandatory course - Regular study - Biology and Chemistry Education