Subject: Mathematical Analysis 2 (17 - E221A)


Basic Information

CategoryTheoretical-methodological
Scientific or art field:Teorijska i primenjena matematika
Interdisciplinaryyes
ECTS8
Native organizations units

Department of Fundamentals Sciences
Course specification

Course is active from 01.10.2005..

Ability of abstract thinking and acquiring basic knowledge in the field of mathematical analysis.(array theory, integral functions of several variables, complex analysis, Fourrier and Laplace transforms)Ability of abstract thinking and acquiring basic knowledge in the field of mathematical analysis.(array theory, integral functions of several variables, 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, Fourrier and Laplace transforms) in further education and professional courses.
Number series, definitions and basic characteristics. Function sequences and series, power series. Double and curvilinear 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, conformal mapping. Fourrier series and transform. 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 4 modules (the first module: Series, the second module: integral function of several variables, the third module: complex analysis, the fourth module: Fourrier and Laplace transforms). The oral part of the examination is not obligatory.
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
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Stojaković Mila
Full Professor

Lectures
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Carić Biljana
Assistant Professor

Lectures
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Milićević Srđan
Assistant with PhD

Practical classes
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Stratijev Jelena
Assistant - Master

Practical classes
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Kašterović Simona
Assistant - Master

Practical classes