5. Semester · Elective · 3+0+0 · 5 ECTS
Fourier series (Periodic function, Fourier Sin and Cos series, Derivation, and integration of Fourier series). Complex Fourier series, Fourier Integral (Definition, Trigonometric shape, Existence Theorem). Fourier Transform (Definition, properties, Cosine, Sinus Transforms, Inverse Transformation, Parseval's theorem). Transformations of Generalized functions (Test function, Impulse function). Fourier transform of some singular and periodic functions. Solution methods of differential equations and differential equations systems with Fourier transforms.
End-of-term exam
