Extending the rubber rope: convergent series, divergent series and the integrating factor

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Abstract

A well-known mathematical puzzle regarding a worm crawling along an elastic rope is considered. The resulting generalizations provide examples for use in a teaching context including applications of series summation, the use of the integrating factor for the solution of differential equations, and the evaluation of definite integrals. A number of potential classroom exercises are given.
LanguageEnglish
Pages554-559
JournalInternational Journal of Mathematical Education in Science and Technology
Volume44
Issue number4
DOIs
Publication statusPublished - 15 Jun 2013

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Divergent Series
Integrating Factor
Definite integral
Worm
Rubber
Summation
Exercise
Teaching
Differential equations
Differential equation
classroom
Series
Evaluation
evaluation
Generalization
Context

Cite this

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abstract = "A well-known mathematical puzzle regarding a worm crawling along an elastic rope is considered. The resulting generalizations provide examples for use in a teaching context including applications of series summation, the use of the integrating factor for the solution of differential equations, and the evaluation of definite integrals. A number of potential classroom exercises are given.",
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