Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematics 3 (17.MR0MA3)

Native organizations units: No data

Type of studies	Title
Undergraduate Academic Studies	Measurement-Information Technologies and Control Engineering (Godina: 2, Winter)

General information:

Category	Theoretical-methodological
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	8

Educational goal:

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)

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, vector analysis, Fourrier and Laplace transforms) in further education and professional courses.

Course content:

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.

Teaching methods:

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).

Literature:

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