13S081M1 - Mathematics 1

Course specification
Course title		Mathematics 1
Acronym		13S081M1
Study programme		Software Engineering
Module
Type of study		bachelor academic studies
Lecturer (for classes)		professor PhD Tatjana Lutovac professor PhD Branko Malešević professor PhD Marija Rašajski professor PhD Tamara Koledin asst. professor PhD Bojana Mihailović professor PhD Bratislav Iričanin
Lecturer/Associate (for practice)		asst. professor PhD Milica Savatović asst. Danijela Branković asst. Milica Radojević asst. Miloš Vujčić
Lecturer/Associate (for OTC)
ESPB		5.0	Status	mandatory
Condition
The goal		Introducing students to basic concepts of mathematical logic, general and linear algebra and mathematical analysis. Making students able to understand and solve certain problems in their technical courses.
The outcome		Students will easily recognize problems inherent in their technical courses and apply acquired knowledge, especially to solve systems of linear equations and approximate functions in mathematical modeling of such problems.
Contents
Contents of lectures		Mathematical logic, algebraic structures, matrices, determinants, systems of linear equations, sequences, limits, functions, differential calculus, Taylor polynomials.
Contents of exercises		Solving diverse problems related to the theoretical component of the course. Students are taught how to recognize and solve problems in electrical engineering and computer science courses.
Literature
Cvetković D,Lacković I,Merkle M,Radosavljević Z,Simić S,Vasić P, Matematika 1-Algebra, Akademska Misao 2006. Vasić B,Iričanin B,Jovanović M, Malešević B,Madžarević T,Mihailović B,Radosavljević Z,Simić S,Cvetković D: Zbirka zadataka iz Matematike 1 -prvi i drugi deo. Akad.Misao 2006. M.Merkle: Matematička analiza za studente tehnike.Akad.Misao 2008.
Number of hours per week during the semester/trimester/year
Lectures	Exercises	OTC	Study and Research	Other classes
3	2
Methods of teaching		Lectures, exercises with solving problems, homeworks, discussions.
Knowledge score (maximum points 100)
Pre obligations		Points	Final exam	Points
Activites during lectures		20	Test paper	30
Practical lessons			Oral examination
Projects
Colloquia		50
Seminars		0