Fourier development --- Introduction ---

Fourier development is a graphical exercise.

You see a curve describing a periodical function f with period 2 pi. Your task is to find the first terms of the Fourier series development of this function.

You can make several attempts to find these terms. For each attempt you will see the curve of your "development" g together with f. You can modify your answer to make the curves as similar as possible. There is also the curve of remainder f-g, which allows you to see the errors.

Choose your type of development :

Attention. for the same order, the development in the form an cos(n x)+bn sin(n x) is more difficult to find than in the form amplitude and phase.

Choose level of difficulty:

Requested knowledge for this exercise: trigonometry, series, Fourier series.

The most recent version


This page is not in its usual appearance because WIMS is unable to recognize your web browser.

In order to access WIMS services, you need a browser supporting forms. In order to test the browser you are using, please type the word wims here: and press ``Enter''.

Please take note that WIMS pages are interactively generated; they are not ordinary HTML files. They must be used interactively ONLINE. It is useless for you to gather them through a robot program.

Description: graphical search of Fourier development of a function. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, analysis, functions, curves, fourier_series