Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematical Analysis (17.ESI113)

Native organizations units: No data

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

General information:

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

Educational goal:

Enabling students to think abstract and gain basic knowledge in the field of Mathematical analysis (limit processes, differential and integral calculus, ordinary differential equations).

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.

Course content:

Lectures: Field of real and complex numbers. Metric space. Sequences (convergence of asequence, real and complex sequences, complete metric space). Number series. 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 the first and the higher order. Linear differential equations of order n. Numerical series. 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 of better understanding 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.

Literature:

Authors	Title	Year	Publisher	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
Kovačević, I. i dr.	Matematička analiza 1 : uvodni pojmovi i granični procesi	2012	Fakultet tehničkih nauka, Novi Sad	Serbian language