Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Algebra (17.E101B)

Native organizations units: No data

Type of studies	Title
Undergraduate Academic Studies	Power, Electronic and Telecommunication Engineering (Godina: 1, Winter)

General information:

Category	Academic-general educative
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	9

Educational goal:

Enabling students to think abstractly and gain new knowledge in the field of elementary, general, abstract and linear algebra, as well as in the fundamentals of classic combinatorics. The aim of this course is to develop a special way of thinking by using principles of the linear algebra and its applications. The knowledge they gain is a basis for a better understanding other professional courses and for a successful continuation in studies.

Educational outcome:

Acquired knowledge is used in further education and professional courses. Mathematical models are designed and solved in professional courses using the material from this course. Knowledge they have acquired, students learn to apply methods of linear algebra and to choose algorithms for solving future problems in professional field.

Course content:

Lectures (Theoretical lectures). Logic, relations, functions, Boolean algebra, groups, rings, fields, polynomials, complex numbers, finite fields, free vectors, analytical geometry in space (vector!), determinants, systems of linear equations, vector space, matrices, characteristic roots and vectors. Practice lectures In practice classes adequate examples and tests from the theoretical lectures are done in order to exercise lectured theory where exercises contribute to understanding of the theory.

Teaching methods:

Lectures; Computing practice. Consultations. Lectures are dynamic and interactive. In lectures theoretical part of the course is presented accompanied by characteristic and representative examples in order to better understand the matter. In practice, which follows lectures, typical problems are solved and lectured theory is deepened. Besides lectures and practice, regular consultations and group consultations are also held. Part of the course, which is a logical unit, can be passed within the teaching process in the following 2 modules (the first module: relations, functions, Boolean algebra, groups, rings, fields, polynomials, complex numbers, finite fields, free vectors, analytical geometry in space (vector!); the second module: determinants, system of linear equations, vector space, matrices, characteristic roots and vectors. Theoretical part is passed through the test (elimination and basic), Practical part is passed through solving five serious problems.

Literature:

Authors	Title	Year	Publisher	Language
Doroslovački, R.	Algebra	2018	Fakultet tehničkih nauka, Novi Sad	Serbian language
Doroslovački R., Nedović LJ.	Testovi iz diskretne matematike i linearne algebre	2018	Novi Sad	Serbian language
Doroslovački, R., Nedović, Lj.	Zbirka ispitnih zadataka iz diskretne matematike : 1985-2006	2006	ALFA-GRAF, Novi Sad	Serbian language

Knowledge evaluation:

Course activity	Pre-examination	Obligations	Number of points
Test	Yes	Yes	10.00
Computer exercise attendance	Yes	Yes	5.00
Theoretical part of the exam	No	Yes	40.00
Lecture attendance	Yes	Yes	5.00
Written part of the exam - tasks and theory	No	Yes	30.00
Test	Yes	Yes	10.00