Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematics (17.M102)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Undergraduate Academic Studies	Energy and Process Engineering (Godina: 1, Winter)
Undergraduate Academic Studies	Technical Mechanics and Technical Design (Godina: 1, Winter)
Undergraduate Academic Studies	Mechanization and Construction Engineering (Godina: 1, Winter)
Undergraduate Academic Studies	Production Engineering (Godina: 1, Winter)

General information:

Category	Academic-general educative
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	7

Educational goal:

Enabling students for abstract thinking, generalization and acquisition of mathematical knowledge for technical application. The aim of this course is to develop a special way of thinking by using basic mathematical principles 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:

The student is able to apply mathematical models in professional courses. Knowledge they have acquired, students learn to apply methods gained on this course and to choose algorithms for solving future problems in professional field.

Course content:

Complex numbers. Determinants and systems of linear equations (Cramer`s rule, Gauss algorithm). Vector algebra in space R3, line, plane. Matrices (operations, inverse matrix). Polynomials and rational functions. Number sequences, functions of one variable (boundary values, continuity, differential calculus and application).

Teaching methods:

Lectures and practice are auditory with calculation. Partial examinations (colloquia) are taken after bigger chapters.

Literature:

Authors	Title	Year	Publisher	Language
Nikić, J., Čomić, I.	Matematika jedan. Deo 1	2003	Fakultet tehničkih nauka, Novi Sad	Serbian language
Adžić, N.	Matematika 1 : za studente Fakulteta tehničkih nauka	2011	Fakultet tehničkih nauka, Novi Sad	Serbian language
Lidl R.	Applied abstract algebra	1998	NewYork: Springer	English
Grupa autora	Zbirka rešenih zadataka iz Matematike I	2009	Fakultet tehničkih nauka, Novi Sad	Serbian language
Cherney D., Denton T., Rohit, Waldron T. A.	Linear Algebra	2013	Davis California	English
Ellis W., Burzynski D.	Elementary Algebra	2008	CONNEXIONS Rice University, Houston, Texas	English
Stephen B.	Introduction to Applied Linear Algebra, Vectors, Matrices, and Least Squares	2018	Cambridge University press	English
Girard J. Y.	Advances in Linear Logic	1995	Cambridge University Press	English
Scwartz A.	Calculus and Analytic Geometry	1967	New York: Rinehart and Winston	English