Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematics (17.F101)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Undergraduate Academic Studies	Graphic Engineering and Design (Year: 1, Semester: Winter)

General information:

Category	Academic-general educative
Scientific or art field	Teorijska i primenjena matematika
ECTS	8

To acquire basic knowledge in the field of algebra and mathematical analysis. To develop abstract thinking and analytical approach to problems. To enable students to link and apply the acquired knowledge in other general and professional courses.

Student is taught to apply mathematical models presented within the course. Student is ready to utilize the acquired knowledge in professional courses and further education, as well as in practice.

Complex numbers. Determinants and systems of linear equations (Cramer`s rule and Gauss algorithm). Vector algebra and analytical geometry in space R3 (line and plane). Polynomials (polynomial zeros, factoration in the set of real and complex numbers, rational functions). Sequences (gathering points, limit values, convergence and divergence). Real functions of a variable (limit values and continuum). Differential calculation (derivatives, higher order derivatives and application). Integral calculation (indefinite and definite integrals). Application of integral calculations.

Lectures. Auditory and computing practice. Individual consultations. Homework. In lectures, theoretical content is presented with characteristic examples to illustrate and simplify the lecturing content. In practice, which are synchronized with lectures, characteristic tasks are done in a wider range and the content presented in lectures is deepened. Apart from lectures and practice, individual consultations are held regularly, or consultations in small groups. Homework is provided after each taught lesson. A part of the content, making a larger logical unit, can be passed during the teaching process in the form of 2 modules: the first module is algebra content, and the second module is mathematical analysis content.

Authors	Title	Year	Publisher	Language
S. Gilezan	Izvod iz predavanja iz Matematike	2007	http://imft.ftn.ns.ac.yu/~silvia	English

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