# 13M081DCJ - Applied Mathematics

Course specification
Course title Applied Mathematics
Acronym 13M081DCJ
Study programme Electrical Engineering and Computing
Module
Type of study master academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
ESPB 6.0 Status elective
Condition Mathematical education at the undergraduate level.
The goal Introduce students to the general theory of difference equations and its applications in electrical engineering and computer science.
The outcome The students will be able to apply ideas and methods of the theory of difference equations, also in electrical engineering and computer science.
Contents
Contents of lectures Introduction and motivation. Basic notions. Characterization. Examples. First order equations (linear, non-linear, Lyness type). Analogues in the theory of ODE. Higher order equations (linear). The systems of difference equations. The basic notions of qualitative analysis of solutions of difference equations. Applications in different areas of maths and in electrical eng. and computer sci.
Contents of exercises Solving problems corresponding to theoretical lectures.
Literature
1. M. Budinčević, V. Marić: Differential and Difference equations. PMF, Novi Sad 2005. (in Serbian)
2. D. S. Mitrinović, J. D. Kečkić, Methods for Calculating Finite Sums, Naučna knjiga, Beograd, 1984. (in Serbian)
3. D. S. Mitrinović, D. D. Adamović: Sequences and Series. Naučna knjiga, Beograd (3)1987. (in Serbian)
4. B. D. Iričanin, The quality analysis of some classes of difference equations, PMF, Novi Sad, 2009. (in Serbian)
5. S. Elaydi: An Introduction to Difference Equations, Springer, New York, (3)2005. (Original title)
Number of hours per week during the semester/trimester/year
Lectures Exercises OTC Study and Research Other classes
3 1
Methods of teaching Lectures.
Knowledge score (maximum points 100)
Pre obligations Points Final exam Points
Activites during lectures 10 Test paper 25
Practical lessons 0 Oral examination 25
Projects 20
Colloquia 0
Seminars 20