# Mathematics 1

Course title

Mathematics 1

Course tag

11003

Semester

1

Course status

Mandatory

ECTS

6

Lectures

30

Practice

30

Independent work

120

Total

180

Teachers and associates

Toni Milun, Senior Lecturer

Aleksandar Hatzivelkos, Lecturer

Željka Knezović, Lecturer

Hrvoje Kovač, Instructor

Ivan Nađ, Instructor

Aleksandar Hatzivelkos, Lecturer

Željka Knezović, Lecturer

Hrvoje Kovač, Instructor

Ivan Nađ, Instructor

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

Literature:

Course handbook prepared and printed by Algebra University College

Supplementary literature

### Minimum learning outcomes

- Analyze the elementary functions, sketch graphs of elementary functions, and calculate the domain of basic and complex functions.
- Calculate inverse functions. Calculate the default function limes.
- Calculate basic operations on sets and display sets and operations Venn diagrams. Calculate the arithmetic and geometric series.
- Solve basic operations with matrices. Calculate determinant of matrix. Solve systems of linear equations using appropriate methods.

### Preferred learning outcomes

- Choose a suitable function for modeling a mathematical or physical problem.
- Calculate the inverse complex functions, and confirm the inverse composition of the function itself and its inversion. Calculate limit of complex functions.
- Write power set and partition together and examine the properties of operations on sets. Calculate more complex examples of arithmetic and geometric sequences.
- To analyze the design of the system of linear equations.