Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Selected Chapters in Mathematics (17.EE204)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title

General information:

Category	Theoretical-methodological
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	6

Educational goal:

Ability of abstract thinking and acquiring basic knowledge in Laplace transform and its applications, application of differential calculus function of several variables, Numerical mathematics. Integration of function of several variables and field theory. Fourier transform and Fourier series.

Educational outcome:

In their further education students are competent to develop and solve mathematical models in their professional subjects using the acquired knowledge from Discrete Algebra and Mathematical Analysis.

Course content:

Theoretical part: Application of differential calculus of functions of several variables. Laplace transform. Numerical solutions to differential equations. Numerical integration and some numerical methods for solving differential equations. Triple and surface integrals. Integral formulas: Stokes and Gauss-Ostrogradski formula . Vector analysis (field theory). Fourier series, integrals and Fourier transform. Practical part: In practical classes suitable examples from theoretical part of the course are done thus contributing to better understanding of the material.

Teaching methods:

Lectures, Numerical calculation practice and computer practice. Consultations. Lectures are conducted combining theoretical part of the subject matter with characteristic examples which facilitate understanding. During practice classes, which accompany the lectures, some characteristic problem tasks are done and the presented material is discussed in more detail. In addition to the lecture and practice classes there are regular consultations. Parts of the course which form a logical unit can be taken in the form of 3 partial exams during the term based on the modules (module one: Laplace transform-part one, extreme values of functions of several variables; Fourier series and integrals, power series solution of differential equations ; module two: triple and surface integrals, field theory ; module three: numerical analysis, Fourier and Laplace transform).

Literature:

Authors	Title	Year	Publisher	Language
Ralević, N., Medić, S.	Matematika I. Deo 2	2002	Fakultet tehničkih nauka, Novi Sad	Serbian language
Stojaković, M.	Matematička analiza 2	2004	Symbol , Novi Sad	Serbian language
Kovačević, I., Marić, V., Ralević, N.	Integrali funkcija više promenljivih i teorija polja	2012	Fakultet tehničkih nauka, Novi Sad	Serbian language

Knowledge evaluation:

Course activity	Pre-examination	Obligations	Number of points
Final exam - part one	No	No	45.00
Test	Yes	Yes	10.00
Written part of the exam - tasks and theory	No	Yes	70.00
Exercise attendance	Yes	Yes	5.00
Test	Yes	Yes	10.00
Final exam - part two	No	No	45.00
Lecture attendance	Yes	Yes	5.00