Functional DNA: Teaching Infinite Series Through Genetic Analogy.

Autor: Kowalski, R. Travis
Předmět:
Zdroj: Primus: Problems, Resources & Issues in Mathematics Undergraduate Studies; Jul2011, Vol. 21 Issue 5, p456-472, 17p
Abstrakt: This article presents an extended analogy that connects infinite sequences and series to the science of genetics, by identifying power series as 'DNA for a function.' This analogy allows standard topics such as convergence tests or Taylor approximations to be recast in a 'forensic' light as mathematical analogs of genetic concepts such as DNA testing or genetic profiling. This gives students, nowadays familiar with the ideas of 'extracting DNA' or 'getting a hit on CODIS' from pop culture, a familiar vantage point to understand and explore this fascinating part of calculus. We present an outline for implementing such material, and discuss some pedagogical advantages of this method of presentation. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index