Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
U S I N G M A T H E M A T I C A T O I L L U S T R A T E T H E R A C E T R A C K P R I N C I P L E I N C A L C U L U S Using Mathematica to Illustrate the
 

Summary: U S I N G M A T H E M A T I C A T O I L L U S T R A T E T H E R A C E T R A C K P R I N C I P L E I N C A L C U L U S
Using Mathematica to Illustrate the
Race Track Principle in Calculus
by Alkiviadis G. Akritas and Zamir Bavel
A
n astonishing innovation in the teaching of Cal-
culus is the use of the race track principle. This
little-known principle is elegantly used in the Cal-
culus 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 Mathe-
matica, 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.
Although implicitly used in most Calculus books (see
for example [5] and [6]) the Race Track Principle is ex-
tensively used in the Calculus and Mathematica (C&M)
book series by Davis, Porta and Uhl ([1][4]). This series
of books is a valuable and well thought-out method for
teaching Calculus. As indicated by the title of this series

  

Source: Akritas, Alkiviadis G. - Department of Computer and Communication Engineering, University of Thessaly

 

Collections: Computer Technologies and Information Sciences