Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematics 2 (17.II1052)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Undergraduate Academic Studies	Industrial Engineering (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.

Acquired knowledge is used in professional courses. Student is competent for making, analysing and solving mathematical models in the further education within 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.