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Fourier Series

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A series of free Engineering Mathematics video lessons.

Intro to Fourier series and how to calculate them
This is a basic introduction to Fourier series and how to calculate them. An example is presented that illustrates the computations involved. Such ideas are seen in university mathematics.
How to compute a Fourier series: an example?
This video is a simple demonstration on how to compute a Fourier series of a simple given function. It discusses how to calculate the Fourier coefficients through integration and the simplifications involved.
Fourier series are an important area of applied mathematics, engineering and physics that are used in solving partial differential equations, such as the heat equation and the wave equation. Fourier series are named after J. Fourier, a French mathematician who was the first to correctly model the diffusion of heat.

What are Fourier series?
A tutorial on Fourier series and how to calculate them. Plenty of examples are discussed to illustrate the ideas.
Fourier series + differential equations
This video shows how to solve differential equations via Fourier series. A simple example is presented illustrating the ideas, which are seen in university mathematics. Fourier Series Representation of a Function
This video shows how to find the Fourier Series Representation of a simple function. An introduction to the concepts behind Fourier series

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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