13E081OPM - Selected topics in Mathematics 2

Course specification
Course title		Selected topics in Mathematics 2
Acronym		13E081OPM
Study programme		Electrical Engineering and Computing
Module
Type of study		bachelor academic studies
Lecturer (for classes)		professor PhD Siniša Ješić professor PhD Branko Malešević professor PhD Tatjana Lutovac professor PhD Marija Rašajski professor PhD Nataša Ćirović professor PhD Tamara Koledin professor PhD Bratislav Iričanin asst. professor PhD Bojana Mihailović
Lecturer/Associate (for practice)		professor PhD Siniša Ješić professor PhD Branko Malešević professor PhD Tatjana Lutovac professor PhD Marija Rašajski professor PhD Nataša Ćirović professor PhD Tamara Koledin professor PhD Bratislav Iričanin asst. professor PhD Bojana Mihailović asst. professor PhD Milica Karapetrović asst. Danijela Branković
Lecturer/Associate (for OTC)
ESPB		2.0	Status	elective
Condition		Mathematics 1
The goal		Introduce students with some mathematical notions and facts which are an extension of knowledge acquired in Mathematics 1 and 2. Capacitate students to use the mathematical apparatus in other courses.
The outcome		Student will easily recognize problems inherent in their technical courses and apply acquired knowledge, especially to solve problems of differential and integral calculus. Student will be capable to analyse basic features of functions in mathematical modeling of different problems. Students get a mathematical basis and also practical hints in treating problems within the scope of their discipline.
Contents
Contents of lectures		First order predicate calculus. Metric spaces and convergence. Differential equations : various types and applications. Difference equations and applications. Applications of differential calculus and polinomial analitical properties to numerical equations solving. Some computer tools and packages for integral calculus and other mathematical fields. Graphs and matrices: applications to solving systems of linear algebraic equations.
Contents of exercises		Practical assignments related to the theoretical component (lectures). Through examples, tasks and problems student learns how to apply theorems and basic concepts that are learnt through theoretical contents.
Literature
Cvetković D., Lacković I., Merkle M., Radosavljević Z., Simić S., Vasić P., Matematika I - Algebra VIII edition, Akademska misao, Beograd, 2004. Vasić P., Iričanin B., Jovanović M., Malešević B., Madžarević T., Mihailović B., Radosavljević Z., Simić S., Cvetković D., Collection of problems I, II; Akademska misao , Beograd, 2004. Merkle M.: Mathematical Analysis - Theory and thousands of problems - Techniques for Students, Akademska misao, Beograd 2005.
Number of hours per week during the semester/trimester/year
Lectures	Exercises	OTC	Study and Research	Other classes
1	1
Methods of teaching		Lectures, tutorials and discussions.
Knowledge score (maximum points 100)
Pre obligations		Points	Final exam	Points
Activites during lectures		25	Test paper	50
Practical lessons			Oral examination
Projects
Colloquia
Seminars		25