Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematics 2 (17.IM1006)

Native organizations units: Department of Fundamentals Sciences, Chair of Mathematics

Type of studies	Title
Undergraduate Academic Studies	Engineering Management (Year: 1, Semester: Summer)

General information:

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

Training students to think abstractly. Basic knowledge to higher mathematics and to enable students to apply their knowledge in other general and specialized subjects.

Student is competent for using acquired knowledge in further education within professional courses, as well as for making, analysing and solving mathematical models. He is able to solve tasks from the above fields and to follows courses in which algebra and mathematical analysis are applied. Acquired knowledge is used for solving mathematical models in professional courses.

Real functions of one real variable – indefinite and definite integrals and application. Real functions of several real variables , differentiation calculus and application. Unconstrained and constrained extreme values of functions of several variables. Economic functions. Optimization of economic functions. Elasticity of economic functions.Simple and compound interest, continuous compounding. First order differential equations.

Lectures. Computing practice. Consultations. In lectures, theoretical content is presented and illustrated with examples for better understanding of the course content. In computing practice, tasks are done to deepen the understanding of the presented content. Apart from lectures and practice, individual consultations are held regularly. A part of the content, making a larger logical unit, can be passed during the teaching process in the form of 2 parts. First part: Real functions of one real variable – indefinite and definite integrals and application. Real functions of several real variables, differentiation calculus and application. Unconstrained and constrained extreme values of functions of several variables. Second part: Economic functions. Optimization of economic functions. Elasticity of economic functions.Simple and compound interest, continuous compounding. Introduction to the dinamics of economic systems: first order differential equations.

Authors	Title	Year	Publisher	Language
D. L. Hoffman, L. G. Bradley	Calculus for Busines, Economics and the Social and Life Sciences	1996	McGrow-Hill, USA	English
J. Stewart	Calculus	1995	Brooks/Cole Publishing Company	English