Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematical Methods 2 (17.GG05)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Undergraduate Academic Studies	Civil Engineering (Godina: 1, Summer)

General information:

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

Educational goal:

Enabling students for abstract thinking and acquiring basic knowledge in the field of mathematical algebra and analysis.

Educational outcome:

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

Course content:

Real functions of one real variable – indefinite and definite integrals and application. Real functions of several real variables – limit value, indefiniteness, differential calculation and their application. Common differential equations of the first order. Common differential equations of the higher order; linear differential equations of the n-th order with constant coefficients; Euler`s differential equation.

Teaching methods:

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 modules. First module: Real function of one real variable – indefinite and definite integrals and application. Second module: Real functions of several real variables – limit value, indefiniteness, differential calculus and application, ordinary differential equations of the first order, linear differential equations of the n-th order with constant coefficients, Euler`s differential equation.

Literature:

Authors	Title	Year	Publisher	Language
Čomić, I., Sladoje, N.	Integralni račun	1997	Fakultet tehničkih nauka, Novi Sad	Serbian language
Čomić, I., Nikolić, A.	Diferencijalne jednačine	1999	Fakultet tehničkih nauka, Novi Sad	Serbian language
Čomić, I., Pavlović, Lj.	Funkcije više promenljivih	2000	Fakultet tehničkih nauka, Novi Sad	Serbian language
I. Kovačević, V.Marić, M. Novković, B. Rodić	Matematička analiza I	2004	Vedes, Beograd, 2004	Serbian language

Knowledge evaluation:

Course activity	Pre-examination	Obligations	Number of points
Practical part of the exam - tasks	No	Yes	60.00
Oral part of the exam	No	Yes	10.00
Lecture attendance	Yes	Yes	5.00
Test	Yes	Yes	10.00
Exercise attendance	Yes	Yes	5.00
Test	Yes	Yes	10.00