> > > After the students understand the product rule, use mathematical > induction to show that the derivative of x^n is n x^(n-1). (This > approach is "out of order" in most Calculus books, but so what.) >
This is really a nice idea...
I have often used this inductive approach with my discrete mathematics class to illustrate an example of where the two courses can overlap. I feel that showing connections between mathematics courses is very important.
Herb Kasube Department of Mathematics Bradley University Peoria, IL 61625 email@example.com