Subject: Mathematical Analysis 2 (06 - E221A)


Basic Information

CategoryAcademic-general educative
Scientific or art field:Mathematics
InterdisciplinaryNo
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: array, 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
Mila StojakovićMatematička analiza 22002Vedes, BeogradSerbian language
Nebojša Ralević, Lidija ČomićZbirka zadataka rešenih sa pismenih ispitaiz matematička analiza 22003FTN,Novi SadSerbian language
Course activity Pre-examination ObligationsNumber of points
TestYesYes15.00
TestYesYes15.00
Exercise attendanceYesYes5.00
Coloquium examYesNo25.00
Coloquium examYesNo20.00
Oral part of the examNoYes20.00
Practical part of the exam - tasksNoYes45.00
Name and surnameForm of classes
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Pantović Jovanka
Full Professor

Lectures
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Stojaković Mila
Full Professor

Lectures
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Lukić Tibor
Associate Professor

Lectures
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Vučković Đorđe

Practical classes
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Savić Nenad

Practical classes
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Stratijev Jelena
Assistant - Master

Practical classes