Welcome to my resource
web page for calculus students. I originally designed it to serve
the IB Math Methods and AP Calculus (AB) students at the High
School of Commerce, Springfield, MA, USA, but I am hopeful it
will be of use to any students studying calculus anywhere. Here
you will find some review / supplemental material that I have
created, links to sites where students can download graphing
software for their home computers, and a collection of (hopefully)
useful links to calculus resources on the web.
I hope these resources will add to your understanding
of the calculus. Reaching this advanced level in your high school
mathematics studies is an achievement that should fill you with
pride. The calculus is one of the great achievements in human
science and art (yes ... art ... there is great art in mathematics).
Succeeding in a course such as this will take commitment and
hard work. There is much that must be memorized and while you
will probably find many of the basic concepts to be astonishingly
simple, the symbol manipulation will test your algebra skills
to the maximum. Key to success will be your level of dedication,
including the willingness to make mistakes and to learn from
those errors, and staying with the material even when things
seem to not work out.
"The Rule of Four" is a common saying
among math teachers. Students are expected to understand concepts
and be able to communicate their findings in four manners of
representation:
- Numeric (via tables of values)
- Analytic (usually thought of as "algebraic")
- Graphical
- Verbal
Thus, much of the material accessible via
this page and the links that follow will address any or all of
those avenues of understanding.
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