# 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 No
The goal - Familiarizing students with the basic concepts of functions of more variables, line and multiple integrals, surface integrals, complex analysis, vector analysis, Fourier series and Laplace transform. Training students for solving actual problems by using the surface integrals and complex functions.
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
Contents of lectures Functions of more variables. Taylor’s theorem. Maxima and minima. Methods of Lagrange Line , Double, triple and multiple integrals. urface integrals – first and second type. Stokes’ theorem. The Gauss - Ostrogradski theorem. Vector analysis. Complex analysis. Laurent’s series. Laurent series and singularities. Solving real integrals. Fourier series and integrals. Laplace transform .
Contents of exercises Through examples and problems, the student learns how to apply the theorems and concepts learned by listening to the theoretical nastavu.Specialy is prepared to deal with problems in electrical engineering
Literature
1. N. Cakić: Script Mathematics 3, Beograd 2007
2. Siniša Ješić, Ivan Lacković: Mathematics 3 - Complex functions, Fourier lines and integrals, Laplace transform, Čigoja štampa, 2nd edition, Beograd 2005
3. Siniša Ješić: Skripta iz matematike 3, Funkcije više promenljivih, Teorija integrala, Beograd 2007
4. B.P.Demidovič: Collection of problems in Mathematics Analysis (in Russian), Mir 1980.
5. 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