#### Faculty of Technical Sciences

Subject: Mathematical analysis 1 (17 - E102A)

Basic Information

 Category Theoretical-methodological 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..

Stečena znanja koristi u daljem obrazovanju i u stručnim predmetima pravi i rešava matematičke modele iz stručnih predmeta koristeći gradivo iz Matematičke analize 1. Student se podstiče i za korišc´enje odgovarajućih programskih alata (Matlab, Mathematica).
Acquired knowledge is used in further education and student designs and solves mathematical models in professional courses using the knowledge from Mathematical Analysis 1. The student is encouraged to use appropriate software tools (Matlab, Mathematica).
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 first and 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. Part of the lectures, which presents one logical whole, can be passed during the teaching process in the form of the following 5 modules (the first module: limiting processes; the second module: differential calculus of real functions of a real variable, the third module: differential calculus of real functions of several variables; the fourth module: integral calculus: the fifth module: ordinary differential equations).
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
TestYesYes5.00
TestYesYes10.00
TestYesYes10.00
Exercise attendanceYesYes3.00
Final exam - part oneNoNo50.00
Final exam - part twoNoNo50.00
Written part of the exam - tasks and theoryNoYes70.00
Lecture attendanceYesYes2.00
Name and surnameForm of classes

Lectures

Lectures

#### Dedeić JovanaAssistant Professor

Practical classes

#### Ostojić TijanaAssistant with PhD

Practical classes

#### Vuković ManojloAssistant - Master

Practical classes

#### Vidojević KatarinaTeaching Associate

Practical classes

#### Kozić BožidarTeaching Associate

Practical classes