| Course title |
Mathematics 3 |
| Acronym |
13E082M3 |
| Study programme |
Electrical Engineering and Computing |
| Module |
Electronics, Electronics and Digital Systems, Information and Communication Technologies, Physical Electronics, Power Engineering, Signals and Systems, Telecommunications and Information Technologies |
| 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. |
| URL to the subject page |
http://matematika3.etf.bg.ac.rs |
| Contents of lectures |
Multivariable functions: extreme values, manifolds, integration on manifolds, 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. Generalized and trigonometric Fourier series, Fourier integral. |
| 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. |
