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2008-Brian_Winkel-Fourier_Series-Optimization_Opportunity

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Keywords: optimization discovery Fourier Fourier seris

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Abstract

Resource Image We discuss the introduction of Fourier series as an immediate application of optimization of a function of more than one variable.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
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Skills

Description

Winkel, Brian. 2008. Fourier series optimization opportunity, International Journal of Mathematical Education in Science and Technology, 39(2): 276 - 284.

All articles in this journal are FREEly available from the Mathematical Association of America member portal website at www.maa.org .

We discuss the introduction of Fourier series as an immediate application of optimization of a function of more than one variable.  Specifically, we show how the study of Fourier series can be motivated to enrich a multivariable calculus class. We do this through discovery learning and use of technology wherein  students build the sine Fourier series for the simple function f(x) = x and then generalize to the n-term sine Fourier series for a general function, f(x). We show how the students can then explore the power of the Fourier series to represent functions.

 

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Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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