13E082M3 - Mathematics 3
Course specification | ||||
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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 | ||||
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 | ||||
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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 |