# Mathematics I

Course title

Mathematics I

Course tag

10003

Semester

1

Course status

Mandatory

ECTS

7

Lectures

45

Practice

30

Independent work

135

Total

210

Teachers and associates

Toni Milun, struč.spec.oec.

Andrej Lacković

Ivan Nađ

Lukrecija Roić

Andrej Lacković

Ivan Nađ

Lukrecija Roić

The course aims

Adoption of the material provided for the curriculum , and it serves the achievement of knowledge and skills to work independently and also as a good preparation for the successful continuation of the study . Analyzing the real problems and create the appropriate mathematical model and critical review of the results obtained.

Content

Theory. The field of rational , real numbers . The concept of functions , algebra functions , composition , inverse function . Graphs of elementary functions . Limes features and some significant limits. Matrices , matrix operations , matrix algebra , matrix equation and the inverse matrix , the matrix . Determinants . Linear systems , Gaussian elimination.

Literature:

1. P. Javor, Matematička analiza 1, Element, Zagreb, 2007

2. N. Elezović, Linearna algebra, Element, Zagreb, 1995.

2. N. Elezović, Linearna algebra, Element, Zagreb, 1995.

Supplementary literature

B.P. Demidović, Zadaci i rješeni primjeri iz više matematike, Danjar, Zagreb, 1995.

### Minimum learning outcomes

- Calculate basic operations on sets and display sets and operations Venn diagrams.
- Analyze the elementary functions , sketch graphs of elementary functions , and calculate the domain of basic and complex functions.
- Solve basic operations with matrices. Calculate determintu matrix.
- Solve systems of linear equations using appropriate methods.

### Preferred learning outcomes

- Write power set and partition together and examine the properties of operations on sets.
- Compute the inverse function , and confirm the inverse A composition of the function itself and its inverse.
- Select feature matrix or determinate , and this property is used in the calculation of more complex tasks.
- To analyze the design of the system of linear equations.