Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Advanced Course in Mathematics 1 (17.Z506)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Master Academic Studies	Water Treatment and Safety Engineering (Godina: 1, Winter)
Master Academic Studies	Environmental engineering (Godina: 1, Winter)

General information:

Category	Academic-general educative
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	3

Educational goal:

To enable students to develop abstract thinking and gain basic knowledge of numerical mathematics and optimization methods.

Educational outcome:

The acquired knowledge is used for further education and in vocational courses for making and solving real mathematical models within vocational courses, using the practiced material in numerical mathematics and optimization methods.

Course content:

Theoretical teaching (lectures): Module: Numerical mathematics. Approximate numbers. Function approximations. Numerical solving nonlinear equations. Systems of nonlinear equations. Monte-Carlo method. Module: Optimization. Classical optimization. One-dimension optimization methods. Linear programming (graphical method, simplex method; transport problem). Mathematical method and simulation. Practical course (exercises): Appropriate examples from theoretical background are done during exercises, thus practicing a given material, and in such a way the exercises are contributing to understanding of a given material.

Teaching methods:

Lectures, Numerical-calculation and laboratory (computer) exercises. Consultation. Lectures are conducted in combination. The lecture of theoretical part is followed by examples which serve to clarify the theoretical part of the curriculum. During computational exercises, which follow the lectures, some typical tasks are done, which deepens the exposed material from the lectures, and the laboratory (computer) use of software packages (at least one) e.g.: C, Maple, Mathematica, Matlab. Apart from lectures and exercises, consultations are regularly held. Part of the material, which forms a logical whole, may be taken as an exam during the teaching process in the form of the following two parts (part one: Numerical Mathematics, Part II: Optimization). The oral part of the final exam is eliminatory.

Literature:

Authors	Title	Year	Publisher	Language
Ralević, N.	Odabrana poglavlja iz matematike	2010	Symbol, Novi Sad	Serbian language
Petrić, J.	Operaciona istraživanja	1987	Naučna knjiga, Beograd	Serbian language

Knowledge evaluation:

Course activity	Pre-examination	Obligations	Number of points
Theoretical part of the exam	No	Yes	30.00
Test	Yes	Yes	10.00
Term paper	Yes	Yes	10.00
Practical part of the exam - tasks	No	Yes	40.00
Lecture attendance	Yes	Yes	5.00
Exercise attendance	Yes	Yes	5.00