Discussion:  Roundtable 
Topic:  "Graphing Calculator" Software 
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Subject:  Continuity applet 
Author:  Chuck 
Date:  Sep 15 2003 
definition of continuity. The discussion began with the perennial question “is
a curve consisting of a single point continuous at that point?” The
deltaepsilon definition of continuity might be better at handling this issue
than the limit definition. Numerous respected calculus teachers have offered
opinions. If you want to illustrate the deltaepsilon definition, then you
might be interested in the following applets.
http://www.shu.edu/projects/reals/cont/answers/javaCont1.html
http://www.math.ohiostate.edu/~fiedorow/calculus/jumpiness.html
http://wwwhome.math.utwente.nl/~gragertpkh/Live_Math/Continu.html
In the past couple of years a few of my students have revealed that they are
mathematicians at heart by their interest in this “epsilonation.”
Charles Oelsner
Syracuse, NY
 
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