Caution: This document contains kernels of corn.
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REGGIE LOONEY
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C'est moi!
BEAUTIFUL CONCEPTS FROM THE CALCULUS
Welcome to my little corner of the net. Although you
can't see it, there are a few sweat stains on this page. No, I
haven't been doing aerobics at this address with Sandra Bullock.
I have been engaged in a study of topics in the calculus, and
you are invited to join me. This page is not intended to be sufficient
in and of itself to teach calculus. It is a supplement for the
serious calculus student. If you have the moxy to study a little
advanced mathematics, then this page is for you.
If you need a little Precalculus review, click
One of the major topics studied by the calculus student
is optimization of functions and the related applications. Click
below to explore this exciting calculus concept.
A favorite theorem of Calculus buffs (and buffets)
is the mean value theorem. Get mean and click below to check it
out.
Let's do a little in depth exploration of the derivative,
if you will. Click below to be amazed. Derivatives
Are Cool
No serious study of the calculus can omit looking
at the concept of limit. Students often say this is a frustrating
concept for them. They are all in good company in any century
they choose. Let's take a look and see if we can develop some
understanding!
What else are derivatives good for? Glad you asked.
Click Relate Those Rates to enlighten
yourself.
Now I suppose you want to know what you can do with
antiderivatives as well. Click Riemannto
scratch the surface of the answer to your question.
Derivatives exist for many more kinds of functions
than just polynomial ones. Even the trigonometric functions are
differentiable (some not at all points). To explore the differentiability
of the trig functions, click Trig
to launch a study.
Mathematicians often use the derivative to find a
linearization to a function, particularly a difficult function.
To "straighten" yourself out on this topic, click Linearization and Differentials
Sometimes the mathematician must use a special technique
to evaluate a limit. For an example, click Sandwich
Even though graphing calculators seem to be abundant
these days, it still behooves the student of the calculus to know
something about explaining the behavior of a curve by looking
at its derivatives. To investigate this click Curve
Sketch
There are only about 1 million places you can find
on the net to continue your study of calculus. So, turn on your
search engine when you leave.
Before we say goodnight, it is perhaps important to
link to some of those folks from history on whose shoulders we
stand. Click Some of the Greats
to do so.
Goodnight!