Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathemtaics 1 (17.S011)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Undergraduate Academic Studies	Traffic and Transport Engineering (Godina: 1, Winter)
Undergraduate Academic Studies	Postal Traffic and Telecommunications (Godina: 1, Winter)

General information:

Category	Academic-general educative
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	6

Educational goal:

Students gain fundamental knowledge in the field of algebra and mathematical analysis. Development of abstract thinking and analytical approach to problem solving. Students are able to use the acquired knowledge in other general and professional engineering subjects.

Educational outcome:

Students are able to apply mathematical models covered within this course. Students are able to use the acquired knowledge in further education and in professional engineering subjects as well as in their professional work.

Course content:

Relations, functions and algebraic structures. The field of complex numbers. Determinants and systems of linear equations. (Crame`s rule and Gauss` algorithm) Vector algebra and analytic geometry in space P3 (straight line and plane) Matrices (operations, inverse matrix). Polynomials (polynomial zeros, factoring over the set of real and complex numbers, rational functions). Sequences (accumulation points, boundary values, convergence and divergence). Real function of one variable (boundary values and continuity). Differential calculus (derivatives, higher order derivatives and applications).

Teaching methods:

Lectures; computation practice. Individual consultations. Homework. Theoretical part of the lectures is accompanied by typical examples in order to better understand the subject matter. In practice classes, which accompany the lectures, typical problems are further explained and the knowledge from the lectures is deepened. Besides lectures and practice classes, consultations are held on a regular basis for individual students or small groups. Homework assignments are given after each finished chapter. Part of the course material, which presents one logical unit, can be passed during the teaching process in the form of the following 2 modules (the first module: algebra; the second module: mathematical analysis).

Literature:

Authors	Title	Year	Publisher	Language
Grupa autora	Zbirka rešenih zadataka iz matematike 1	2009	Fakultet tehničkih nauka, Novi Sad	Serbian language
Nikić, J., Čomić, I.	Matematika jedan. Deo 1	2003	Fakultet tehničkih nauka, Novi Sad	Serbian language
S. Gilezan	Izvod iz predavanja iz Matematike I	2007	http://imft.ftn.ns.ac.yu/~silvia	Serbian language