Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematical Analysis 2 (17.E121)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Undergraduate Academic Studies	Information Engineering (Godina: 2, Winter)

General information:

Category	Academic-general educative
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	7

Educational goal:

Ability of abstract thinking and acquiring basic knowledge in the field of mathematical analysis.

Educational outcome:

Student is competent to design and solve mathematical models in the field of mathematical analysis (array theory, integral functions of several variables, complex analysis) in further education and professional courses.

Course content:

Number series, function 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.

Teaching methods:

Lectures; Numerical computing practice. Consultations. Lectures are combined. In lectures, theoretical part of the course taught 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 3 modules (the first module:series, the second module: integral function of several variables, the third module: complex analysis). The oral part of the examination is not obligatory.

Literature:

Authors	Title	Year	Publisher	Language
Stojaković, M.	Matematička analiza 2	2002	Vedes, Beograd	Serbian language
Ralević, N., Čomić, L.	Zbirka zadataka rešenih sa pismenih ispitaiz matematička analiza 2	2003	Fakultet tehničkih nauka, Novi Sad	Serbian language

Knowledge evaluation:

Course activity	Pre-examination	Obligations	Number of points
Written part of the exam - tasks and theory	No	No	25.00
Test	Yes	Yes	20.00
Practical part of the exam - tasks	No	Yes	55.00
Written part of the exam - tasks and theory	No	No	30.00
Test	Yes	Yes	25.00