## 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 integrals, differential equations and numerical methods for solving mathematical problems. Prepare students for lifelong learning and use of mathematical structures and integrals and differential equations as tools in application.

## Conditions for enrollment

Requirements met for enrolling in the study programme

## Course description

Primitive function. An indefinite integral. Newton-Leibniz formula. Numerical solving of a given integral. Shape area surface. Arc length. Volume of solids of revolutions. Problems in engineering that require the use of differential equations. The concept and basic properties of differential equations. Solving differential equations by employing different computer, numerical and algebraic methods. Numerical solving of nonlinear equations. The least squares method in computer science.

## 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 Jukić, D; Scitovski, R Matematika Osijek: Matematički odjel Osijek, 2000.

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

3. 3 B. Apsen Repetitorij više matematike Tehnička knjiga, Zagreb, 2000.

Pretraži literaturu na: 1. 1 P. Javor Matematička analiza Školska knjiga,Zagreb, 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. express and correctly interpret the results of differential and integral calculus

2. for the given integral, define the type and develop a procedure for its solution

3. create a procedure by which we define the surface, arc length and the volume of the body

4. compare a differential equation with the basic types of differential equations and create a general solution

5. determine and create a numerical model for solving specific mathematical problems

Aktivnosti studenta: Vidi tablicu aktivnosti