Using Mathematica to Illustrate the Race Track Principle in Calculus -- from Wolfram Library Archive

Title

Using Mathematica to Illustrate the Race Track Principle in Calculus

Authors

A. Akritas

Z. Bavel

Journal / Anthology

Mathematica in Education and Research

Year:

2000

Volume:

Issue:

Page range:

27-32

Description

An astonishing innovation in the teaching of calculus is the use of the race track principle. This little-known principle is elegantly used in the Calculus and Mathematica (C&M) series of books ([1], [2], [4]) to explain and prove many concepts. Below we present two different versions of this principle and, using Mathematica, we show how it is used to explain the power series expansion of a function and the round-off errors that appear in certain computations.

Subjects

	Mathematics > Calculus and Analysis > Calculus
	Mathematics > Calculus and Analysis > Series

Downloads

akritas92.nb (393.7 KB) - Mathematica Notebook

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