#### Faculty of Technical Sciences

Subject: Mathematical Analysis 1 (17 - E102)

Basic Information

 Category Academic-general educative Scientific or art field: Teorijska i primenjena matematika Interdisciplinary yes ECTS 9
Native organizations units

 Department of Fundamentals Sciences
Course specification

Course is active from 01.10.2009..

Course which have preconditioned courses Mathematical Analysis 1

Course idMandatoryMandatory
Optimization Algorithms and Nonlinear ProgrammingYesYes
The objective of the course is to acquire basic knowledge in the field of Mathematical Analysis necessary for further studying of similar subjects and training students for abstract thinking. Student should be able to apply the acquired knowledge from the field of mathematical analysis in modeling of real problems from the field of technical sciences.
The student should learn the basic concepts of Mathematical Analysis - sequences, limit processes, differential and integral calculus, ordinary differential equations and numerical series and be able to apply them. The acquired knowledge is used in further education and in professional subjects. The student is able to create and solve mathematical models from professional subjects using acquired knowledge from Mathematical Analysis.
Theoretical lectures: Field of real and complex numbers. Metric space. Series (convergence of series, real and complex sequences, complete metric space). Limits, continuity and uniform continuity of functions. Real functions of a real variable (limit, continuity, uniform continuity, differential calculus and application, indefinite integral, definite integral and application, improper integral). Real functions of several real variables (limits, continuity, uniform continuity, differential calculus and application). Ordinary differential equations of the first and the higher order. Linear differential equations of n-th order. Practice (Exercises): Corresponding examples from theoretical lectures are done in exercises, thus practicing the taught lectures and understanding them better.
Lectures; Numeric computing practice. Consultations. Lectures are combined. Theoretical part of the lectures is accompanied by typical examples in order to better understand the matter taught in lectures. In practice, which accompanies lectures, typical problems are solved and the knowledge from the lectures is deepened. Besides lectures and practice, consultations are held on a regular basis.
AuthorsNameYearPublisherLanguage
Kovačević, I. i dr.Matematička analiza 1 : uvodni pojmovi i granični procesi2012Fakultet tehničkih nauka, Novi SadSerbian language
Kovačević, I., i dr.Matematička analiza 1 : diferencijalni i integralni račun, obične diferencijalne  jednačine2012Fakultet tehničkih nauka, Novi SadSerbian language
Novković, M., i drZbirka rešenih zadataka iz Matematičke analize 12012Fakultet tehničkih nauka, Novi SadSerbian language
Grupa autoraTestovi sa ispita iz Matematičke analize 12012Fakultet tehničkih nauka, Novi SadSerbian language
Course activity Pre-examination ObligationsNumber of points
TestYesYes10.00
TestYesYes10.00
TestYesYes10.00
Written part of the exam - tasks and theoryNoYes60.00
Oral part of the examNoYes10.00
Name and surnameForm of classes

Lectures

#### Vuković ManojloAssistant - Master

Practical classes

#### Matić ZagorkaAssistant - Master

Practical classes

#### Prodanović IrenaAssistant - Master

Practical classes