#### Faculty of Technical Sciences

Subject: Mathematical analysis 1 (17 - E212)

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 01.10.2004..

Enabling students to think abstractly and gain basic knowledge in the field of Mathematical analysis (limiting processes, differential and integral calculus, ordinary differential equations). The goal is to develop the capability to connect complex notions from mathematical analysis and to perceive the possibilities for the application of the acquired knowledge.
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
TestYesYes10.00
TestYesYes10.00
Exercise attendanceYesYes3.00
Final exam - part oneNoNo50.00
HomeworkYesYes5.00
Final exam - part twoNoNo50.00
Written part of the exam - tasks and theoryNoYes70.00
Lecture attendanceYesYes2.00
Name and surnameForm of classes

Lectures

Lectures

#### Ostojić TijanaAssistant - Master

Practical classes

#### Janjoš AleksandarAssistant - Master

Practical classes

#### Vidojević KatarinaTeaching Associate

Practical classes