Mathematics

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Mathematics

Code: 35779
ECTS: 6.0
Lecturers in charge: izv. prof. dr. sc. Boris Muha - Lectures
Lecturers: Daniela Ivanković, mag. math. - Exercises
Take exam: Studomat
English level:

1,0,0

All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.
Load:

1. komponenta

Lecture typeTotal
Lectures 30
Exercises 45
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
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.
Literature:
  1. I. Slapničar, Matematika 1, FESB Sveučilište u Splitu, 2002.
  2. I. Slapničar, Matematika 2, FESB Sveučilište u Splitu, 2002.
1. semester
Mandatory course - Regular study - Biology
Consultations schedule:

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