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Course specification
Course title Special Functions
Acronym MS1SF
Study programme Electrical Engineering and Computing
Module Applied Mathematics
Type of study master academic studies
Lecturer (for classes) prof. dr Nenad Cakić
Lecturer/Associate (for practice) prof. dr Nenad Cakić
Lecturer/Associate (for OTC)
ESPB 6 Status elective
Condition Knowledge of mathematical analysis, complex analysis, theory of functions, combinatorial analysis
The goal Introducing students to orthogonal polynomials and Bessel functions and their applications in electronics, electromagnetics, telecommunications and quantum mechanics. We will study the linear and nonlinear differential equations
The outcome Train students to recognize and resolve problems from electrical engineering in which they appear Special functions and the corresponding differential equations as a mathematical model
Contents
Contents of lectures Orthogonal polynomials, Bessel functions and polynomials, hypergeometric functions, Laplace differential equation, Special numbers, Application in the combinatorial analysis
Contents of exercises Solving various problems and equations using special functions.
Literature
1D.S.Mitrinović : UVOD U SPECIJALNE FUNKCIJE. Građ.knjiga.Beograd 1980
2N.P.Cakić : Specijalne funkcije i jednačine matematičke fizike. Skripta
Number of hours per week during the semester / trimester / year
Lectures Exercises OTC Study and Research Other classes
3 1
Methods of teaching . 15 hours teaching + 15 hours tutorials on blackboard with exercises + 7.5 hours consulting related to home works, exam at the end of the unit. Students should spend 42 hours in learning and solving exercises on their own; 1.5 hours per week during semester and additional 20 hours afterwards.
Knowledge score (maximum points 100)
Pre obligations Points Final exam Points
Activities during lectures 0 Test paper 70
Practical lessons 0 Oral examination 0
Projects 0
Colloquia 30
Seminars 0