1. komponenta

Lecture type	Total
Lectures	30
Exercises	30

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

To acquire an overview of the basic terms related to numbers and elementary functions and the basics of differential and integral calculus.

Course content (syllabus):
1) Sets. Functions. Domain and codomain.
2-3) Overview of elementary functions.
4) Sequences.
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) Optimization problems; minima and maxima
11) Discrete models of the population growth.
12) Calculating of areas and volumes; the notion of integral.
13) Integration of elementary functions.
14) Basic integration techniques.
15) Modeling with logarithms.

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

Mandatory course - Regular study - Geology