# 13E082M3 - Mathematics 3

Course specification
Course title Mathematics 3
Acronym 13E082M3
Study programme Electrical Engineering and Computing
Module
Type of study bachelor academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
ESPB 6.0 Status mandatory
Condition
The goal Familiarizing students with the basic concepts of multivariable functions, line and multiple integrals, surface integrals, field theory, complex analysis, Laplace transformation and Fourier series, with the goal to train students for solving problems in applied mathematics in various areas of Electrical Engineering.
The outcome The student is competent to apply the technique of multiple integrals, complex analysis, field theory, Laplace transform and Fourier series in various fields of Electrical Engineering.
Contents
URL to the subject page http://matematika3.etf.rs/
Contents of lectures Multivariable functions: extreme values, Taylor’s theorem, line, multiple and surface integrals, theorems of Green-Riemann, Stokes and Gauss - Ostrogradski. Field theory. Complex analysis: Laurent’s series, theory of residues, contour integrals, application to solving real integrals. Laplace transformation. Fourier series.
Contents of exercises Through examples and problems, students learn how to apply the theorems and concepts learned in theory, prepared to deal with problems in Electrical Engineering.
Literature
1. Siniša Ješić: Mathematics 3 - Complex functions, Fourier series and integrals, Laplace transformation, Belgrade 2011
2. Siniša Ješić: Script in Mathematics 3, Multivariable functions, Theory of integrals, Belgrade 2007
3. B.P.Demidovič: Collection of problems in Mathematics Analysis (in Russian), Mir 1980.
4. Dobrilo Tošić: Collection of solved problems - Mathematics 3. Akademska misao,Beograd 2006.
Number of hours per week during the semester/trimester/year
Lectures Exercises OTC Study and Research Other classes
3 3
Methods of teaching Lectures, exercises, discussions, help with homework using mathematical software.
Knowledge score (maximum points 100)
Pre obligations Points Final exam Points
Activites during lectures 0 Test paper 50
Practical lessons 0 Oral examination 20
Projects
Colloquia 30
Seminars 0