Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematical analysis (17.IA002)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Undergraduate Academic Studies	Engineering Animation (Godina: 1, Summer)

General information:

Category	Academic-general educative
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	6

Educational goal:

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.

Educational outcome:

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.

Course content:

Elementary functions, Sequences, Real functions and variables (boundary values,continuity, differential calculus and their application). Taylor and MacLaurint series, Indefinite integral, definite integral and their application, Numerical Series

Teaching methods:

Lectures; Numerical calculation practice. Consultations. Lectures are combined. In lectures, theoretical part of the course is taught followed by typical examples for better understanding. In practice, which accompanies lectures, typical problems are solved and knowledge from the lectures is deepened. Besides lectures and practice, consultations are held on a regular basis.

Literature:

Authors	Title	Year	Publisher	Language
Dragan Đorić, Rade Lazović	Matematika 1	2010	Fakultet organizacionih nauka, Beograd	Serbian language
Novković, M., i dr	Zbirka rešenih zadataka iz matematičke analize 1	2007	Fakultet tehničkih nauka, Novi Sad	Serbian language
Kovačević, I. i dr.	Matematička analiza 1 : diferencijalni i integralni račun, obične diferencijalne jednačine	2007	Symbol, Novi Sad	Serbian language
Grupa autora	Zbirka rešenih zadataka iz Matematike I	2009	Fakultet tehničkih nauka, Novi Sad	Serbian language