1. komponenta

Lecture type	Total
Lectures	30
Exercises	45

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

AIM OF THE COURSE:
To introduce students to the basic concepts of linear algebra and mathematical analysis of functions of one variable.

PURPOSE of THE COURSE:
Developing the ability to perform logical reasoning and precision in research.

OUTCOMES:
1. To formulate problems in the language of mathematics.
2. To understand mathematical theorems.
3. To apply theorems in exercises.
4. To analyze solvability of systems of linear agebraic equations.
5. To solve systems of linear algebraic equations.
6. Analyze and sketch the graph of a function.

TOPICS:
1. Matrices.
2. Systems of linear agebraic equations.
3. Solvability of triangular systems. Gauss eliminations.
4. Linear independence. Matrix rank.
5. Kronecker-Capelli's theorem.
6. Determinants and applications.
7. Vector algebra.
8. Functions. Properites of functions.
9. Elementary functions.
10. Limits. Continuity.
11. Derivative. Higher derivatives. L'Hospital's rule.
12. Monotonicity of functions. Convexity and concavity of functions.
13. Extreme points.
14. Riemann's integral.
15. Primitive functions. Applications.

1. I. Slapničar, Matematika 1, FESB Sveučilište u Splitu, 2002.
2. I. Slapničar, Matematika 2, FESB Sveučilište u Splitu, 2002.

Mandatory course - Regular study - Biology