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Testing the logistic equation
Posted:
Mar 18, 1998 5:38 PM
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My BC class studied the logistic equation along with exponential growth
problems. We solved the equation in general, looked at the graph of the
solution, noted that the inflection point occurs at y= half the limiting
value, etc.
My difficulty was coming up with a test problem on this topic. I generated
one that (as far as I can tell) didn't really require any calculus and most
of them could do the problem and show that they understood the logistic
growth curve.
I'm expecting that this topic is likely to be tested this year. I really
can't imagine what kinds of question could be asked. I will suggest that
my students store the general solution in a program on their calculator in
case they need it. I personally feel that actually solving this
differential equation on the exam is unreasonably difficult.
I'd appreciate any ideas other folks have on this topic.
Thanks in advance.
Elisse Ghitelman
Newton North High School
Newton, MA, USA
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