Calculus BC 2000 - 2001 Mr. Dillow
Congratulations!You
have arrived in this class after having completed Calculus AB. An AP class
is for you if you are a self-directed learner with an interest in math
who wants to satisfy and receive credit for college calculus. I am assuming
that you will be challenging the AP Exam in May 2001. If, at any time,
you feel that you are overwhelmed or "lost", please see me for extra help.
A danger that many of you face as Seniors in an AP class is getting in
"over your head". Be wise about your committments. I'm generally in my
room on Mondays, Wednesdays, and Fridays at lunchtime and Tuesdays and
Thursdays after school for "drop-in" help. If I know you're coming,
I'll be there for sure.
PHILOSOPHY.
Calculus AB and Calculus BC are primarily concerned with developing
the students' understanding of the concepts of calculus and providing experience
with its methods and applications. The courses emphasize a multi-representational
approach to calculus, with concepts, results, and problems being expressed
geometrically, numerically, analytically, and verbally. The connections
among these representations also are important. Both courses are intended
to be equally challenging and demanding. Calculus BC is an extension
of Calculus AB rather than an enhancement; common topics require a similar
depth of understanding. Broad concepts and widely applicable methods are
emphasized. The focus of the courses is neither manipulation nor
memorization of an extensive taxonomy of functions, curves, theorems, or
problem types. Thus, although facility with manipulation and computational
competence are important outcomes (do you remember your Algebra??), they
are not the core of these courses. Technology (graphing calculators) is
used regularly by students and teachers to reinforce the relationships
among the multiple representations of functions, to confirm written work,
to implement experimentation, and to assist in interpreting results. Through
the use of the unifying themes of derivatives, integrals, limits, approximation,
and applications and modeling, the course becomes a cohesive whole rather
than a collection of unrelated topics. These themes are developed
using all the functions listed in the prerequisites.
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