Integral TransformsLaajuus (3 cr)

Objectives

Student is able to
- use Laplace transform and apply it to solve differential equations.
- express periodic functions as Fourier series.
- interpret the relation between the spectrum and the Fourier coefficients of a function.
Student understands the use of transfer function in describing the properties of linear systems.
Student is familiar with the Fourier transform / FFT computer programs.

Content

Laplace transform formulas, use of Laplace transforms to solve differential equations, transfer function in describing the properties of linear systems. Representation of periodic functions as Fourier series, spectrum of function, use of computer programs in Fourier transforms/FFT.

Prerequisites

Differential Calculus and Integral Calculus or similar skills