Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematical analysis 1 (17.E102A)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Undergraduate Academic Studies	Power, Electronic and Telecommunication Engineering (Godina: 1, Summer)

General information:

Category	Theoretical-methodological
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	9

Educational goal:

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).

Educational outcome:

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).

Course content:

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.

Teaching methods:

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).

Literature:

Authors	Title	Year	Publisher	Language
Kovačević, I. i dr.	Matematička analiza 1 : uvodni pojmovi i granični procesi	2012	Fakultet tehničkih nauka, Novi Sad	Serbian language
Grupa autora	Testovi sa ispita iz Matematičke analize 1	2012	Fakultet tehničkih nauka, Novi Sad	Serbian language
Kovačević, I. i dr.	Matematička analiza 1 : diferencijalni i integralni račun, obične diferencijalne jednačine	2012	Fakultet tehničkih nauka, Novi Sad	Serbian language
Novković, M., i dr	Zbirka rešenih zadataka iz Matematičke analize 1	2012	Fakultet tehničkih nauka, Novi Sad	Serbian language

Knowledge evaluation:

Course activity	Pre-examination	Obligations	Number of points
Final exam - part two	No	No	50.00
Test	Yes	Yes	10.00
Written part of the exam - tasks and theory	No	Yes	70.00
Exercise attendance	Yes	Yes	3.00
Final exam - part one	No	No	50.00
Test	Yes	Yes	5.00
Test	Yes	Yes	10.00
Lecture attendance	Yes	Yes	2.00