Subject: Mathematical Analysis 1 (06 - GI107)

Basic Information

CategoryAcademic-general educative
Scientific or art field:Mathematics
Native organizations units

Department of Fundamentals Sciences
Course specification

Course is active from 01.10.2005..

Precondition courses

Course idMandatoryMandatory

Course which have preconditioned courses Mathematical Analysis 1

Course idMandatoryMandatory
Mathematical Analysis 2YesNo
Probability and Mathematical StatisticsYesNo
Enabling students in abstract thinking and acquiring basic knowledge in the field of mathematical analysis (limit processes, differential and integral calculations, common differential equations).
Acquired knowledge is used in further education and in professional courses to make and solve mathematical models from the professional courses by using the course content from the Mathematical Analysis 1.
Lectures (theoretical classes): Numerical sequences. Limit value, continuity of functions. Real functions with one real variable (limit value, continuity, differential calculation and application, infinite integral, finite integral and application, improper integral).Multivariate calculus (limit value, continuity, derivatives and application). Ordinary differential equations of first and higher order. Linear differential equations of n-th order. Laborations: At practice, adequate examples from lectures are presented to practice the course content, which also helps in better understanding of the presented content.
Lectures. Computing practice. Consultations. Lectures are combinatory. At lectures, theoretical content is presented and illustrated with characteristic examples for better understanding. At practice that follow lectures, characteristic tasks are done to deepen the understanding of the presented content. Apart from lectures and practice, consultations are held regularly. A part of the content, making a larger logical unit, can be passed during the teaching process in the form of 5 modules (first module: limit processes, second module: differential calculations of a real function with one real variable, third module: differential calculation of real functions with several real variables, fourth module: integral calculations, fifth module: common differential equations).
I. Kovačević, N. RalevićMatematička analiza 1- (prvi deo) Granični procesi2007Symbol,Novi SadSerbian language
I. Kovačević,V.Marić, M. Novković,B.RodićMatemarička analiza 1 - drugi deo2007Symbol, Novi SadSerbian language
M. Novković, B. Rodić,S.Medić, I. KovačevićZbirka rešenih zadataka iz Matematičke analize 12007Symbol, Novi SadSerbian language
I.Kovačević,B.Rodić,S.Medić,V.ĆurićTestovi ispita iz Matematičke analize 12007Symbol, Novi SadSerbian language
Course activity Pre-examination ObligationsNumber of points
Written part of the exam - tasks and theoryNoYes60.00
Oral part of the examNoYes10.00
Name and surnameForm of classes
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Sladoje Matić Nataša

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Kostić Marko
Full Professor

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Tomić Filip
Assistant Professor

Practical classes
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Ilić Vladimir

Practical classes
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Stamenković Andrijana
Research Associate

Practical classes