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

M McCartney

doi:10.1080/0020739X.2012.729615

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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	554-559
Journal	International Journal of Mathematical Education in Science and Technology
Volume	44
Issue number	4
DOIs	https://doi.org/10.1080/0020739X.2012.729615
Publication status	Published (in print/issue) - 15 Jun 2013

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10.1080/0020739X.2012.729615

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

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