Mathematics 1 | Faculty of Technical Sciences

Subject: Mathematics 1 (17.Z104)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Undergraduate Academic Studies	Occupational Safety Engineering (Year: 1, Semester: Winter)
Undergraduate Academic Studies	Clean Energy Technologies (Year: 1, Semester: Winter)
Undergraduate Academic Studies	Disaster Risk Management and Fire Safety (Year: 1, Semester: Winter)
Undergraduate Academic Studies	Environmental Engineering (Year: 1, Semester: Winter)

General information:

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

Acquisition of basic knowledge in advanced mathematics and enabling students to apply acquired knowledge in other general and professional courses. Development of the ability of logical thinking, data analysis and making conclusions based on the data analysis results.

Basic knowledge in advanced mathematics. Enabling students to independently use acquired mathematical knowledge in professional courses. Developed abstract and logical thinking and the ability to make conclusions based on the data analysis.

Complex numbers. Vectors, scalar and vector product, application in mechanics. Analytical geometry in space, line, surface and interrelationships. Determinants and systems of linear equations. Polynomials and rational functions. Bezout`s theorem. Number sequences. Limit of a function. Derivatives. Graph of a function.

Lectures and Practice. Colloquiums during semester, examination (problems and theoretical test) at the end of the semester. Lectures are held in a combined manner. During lectures theoretical part of the course is presented and followed by typical examples for better understanding. During practice, which accompanies lectures, typical problems are solved and the knowledge from lectures is deepened. Besides lectures and practice, consultations are held on a regular basis. A part of the course, which represents a logical whole, may be taken during the teaching process in the form of a colloquium. During the teaching process homework assignments are given and student can solve them independently or in a group.