#### Faculty of Technical Sciences

Subject: Mathematics 3 (17 - MR0MA3)

Basic Information

 Category Theoretical-methodological Scientific or art field: Teorijska i primenjena matematika Interdisciplinary yes ECTS 8
Native organizations units

Course specification

Course is active from 01.10.2005..

Ability of abstract thinking and acquiring basic knowledge in the field of mathematical analysis (series, integral of functions of several variables, complex analysis, Fourrier and Laplace transforms). Ability of abstract thinking and acquiring basic knowledge in the field of mathematical analysis.(series, integral functions of several variables, vector analysis, complex analysis, Fourrier and Laplace transforms)
Student is competent to design and solve mathematical models in the field of mathematical analysis (array theory, integral functions of several variables, complex analysis, vector analysis, Fourrier and Laplace transforms) in further education and professional courses.
Number series, definitions and basic characteristics. Function sequences and series, power series, Fourrier series . Double and line integral. Complex analysis-basic terms related to complex function of a complex variable, integral, Cauchy’s theorem and formula, Laurent series, singularities, residue, analytic continuation, connformal mapping.Vector analysis - gradient,divergence, curl, integral of vector function of scalar and vector variable, connection between different form of integrals. Laplace and inverse Laplace transform with applications.
Lectures; Numerical computing practice. Consultations. Lectures are combined. In lectures, theoretical part of the course is 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. Part of the course, presenting a logical whole, can be passed during the teaching process in the form of the following 5 modules (1. series,2. integral function of several variables,3. complex analysis, 4. Vector analysis, 5. Laplace transforms).
AuthorsNameYearPublisherLanguage
Stojaković, M.Matematička analiza 22002Vedes, BeogradSerbian language
Ralević, N., Čomić, L.Zbirka zadataka rešenih sa pismenih ispitaiz matematička analiza 22003Fakultet tehničkih nauka, Novi SadSerbian language
Course activity Pre-examination ObligationsNumber of points
TestYesYes20.00
TestYesYes25.00
Coloquium examNoNo25.00
Coloquium examNoNo30.00
Practical part of the exam - tasksNoYes55.00
Name and surnameForm of classes

Lectures

#### Prokić SimonaAssistant - Master

Practical classes