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

• Autores: Mark McCartney
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 44, Nº. 4, 2013, págs. 554-559
• Idioma: inglés
• DOI: 10.1080/0020739x.2012.729615
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• Resumen

  • 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.