UNIVERSITY OF NIŠ
	
Course Unit Descriptor	Faculty               		
GENERAL INFORMATION	
Study program 	CHEMICAL TECHNOLOGIES and ТЕXTILE TECHNOLOGIES	
Study Module  (if applicable)	FOOD TECHNOLOGY MODULE
BIOTECHNOLOGY MODULE,
PHARMACEUTICAL AND COSMETIC ENGINEERING MODULE
ORGANIC CHEMICAL TECHNOLOGY AND POLYMER ENGINEERING MODULE
ECOLOGICAL ENGINEERING MODULE
TEXTILE ENGINEERING MODULE	
Course title	Mathematics 2	
Level of study	Bachelor                Master’s                    Doctoral	
Type of course	 Obligatory                  Elective	
Semester  	   Autumn                     Spring	
Year of study 	I	
Number of ECTS allocated	8	
Name of lecturer/lecturers		
Teaching mode	 Lectures                     Group tutorials          Individual tutorials
 Laboratory work       Project work              Seminar
 Distance learning     Blended learning        Other	
PURPOSE AND OVERVIEW (max. 5 sentences)	
To provide students with a higher theoretical and practical  knowledge about Mathematics, which is useful for some later courses on the faculty.  	
SYLLABUS (brief outline and summary of topics, max. 10 sentences)	

1.	Improper integrals
2.	Applications of definite integral
3.	Differential equations of the second order, uncomplete differential equations, differential equations with constant coefficients
4.	Lagrange method
5.	Double integral, definition and properties
6.	Cartesius and polar coordinates in double integration
7.	Applications of double integral
8.	Triple integral, definition and properties
9.	Computation of triple integral, Cartesius coordinates
10.	Triple integral and cylindric coordinates
11.	Triple integral and spheric coordinate
12.	Line integral of the first order
13.	Line integral of the second order
14.	Laplace transformation
15.	Probability, distribution functions
16.	
Practical classes:  (0+3) Solutions of exercises, following the theoretical classes	
LANGUAGE OF INSTRUCTION	
Serbian  (complete course)               English (complete course)                 Other _____________ (complete course)

Serbian with English mentoring      Serbian with other mentoring ______________
	
ASSESSMENT METHODS AND CRITERIA	
Pre exam duties	Points	Final exam	points	
Activity during lectures	2	Written examination	40 (For students who have not passed the test colloquia)
	
Practical teaching	3	Oral examination	30	
Teaching colloquia	25	OVERALL SUM	100	
*Final examination mark is formed in accordance with the Institutional documents