## Professional study programme

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## Course groups

Prikaži sve grupe na predmetu

## Goals

Teach students the basic concepts and definitions, as well as how to solve tasks in the field of logic, set theory, function theory, and derivative of a function. Prepare students for lifelong learning and use of mathematical structures, relationships and operations as tools in application.

## Conditions for enrollment

Requirements met for enrolling in the study programme

## Course description

Basics of traditional logic. Mathematical logic. Alphabet and formulas of propositional logic. Truth tables. Basic definitions of set theory. Subset, power set, empty set. Set operations. Number records in different number databases. Concept of a function. Graph function. Function composition. Inverse Function. Elementary functions (polynomial function, rational function, exponential and logarithmic function, general power, trigonometric function). Limits and continuity. Derivation of a function - Newton's speed problem. Derivatives of elementary functions. Derivative rules. Derivation of a complex function. Higher order derivatives. Local extrema of functions. Flow test of a function. System of linear equations. Gaussian elimination method. Representing systems of linear equations using matrices.

## Student requirements

Defined by the Student evaluation criteria of the Faculty of Electrical Engineering, Computer Science and Information Technology Osijek and paragraph 1.9

## Monitoring of students

Defined by the Student evaluation criteria of the Faculty of Electrical Engineering, Computer Science and Information Technology Osijek and paragraph 1.9

## Obligatory literature

1. 1 R. Galić, M. Crnjac, I. Galić Matematika za stručne studije ETF Osijek i Veleučilište Požega.

2. 2 Demidović, B. P. Zadaci i riješeni primjeri iz više matematike s primjenom na tehničke nauke Zagreb: Tehnička knjiga, 2003.

Pretraži literaturu na: 1. 1 B. Apsen Repetetitorij više matematike Tehnička knjiga, Zagreb, 2000.

2. 2 D. Jukić, R. Scitovski Matematika Matematički odjel, Osijek, 2000.

## Course assessment

Conducting university questionnaires on teachers (student-teacher relationship, transparency of assessment criteria, motivation for teaching, teaching clarity, etc.). Conducting Faculty surveys on courses (upon passing the exam, student self-assessment of the adopted learning outcomes and student workload in relation to the number of ECTS credits allocated to activities and courses as a whole).

## Overview of course assesment

Learning outcomes
Upon successful completion of the course, students will be able to:

1. explain the basics of the language of traditional logic, mathematical logic and set theory, and create a truth table for a given statement

2. create track records in different databases, and be able to calculate in these bases

3. compare and explain the features of elementary functions

4. create and analyse the derivative of a function

5. compare, calculate and create matrices, and evaluate and solve the system using matrices

Aktivnosti studenta: Vidi tablicu aktivnosti