 Calc I Resources

So, What's A Fraction? & Zero(s) In Fractions
web page,
pdf of web page,
video of web page
local video
key words: ratio, comparison. numerator compared to denominator, "number of pieces" /"number of pieces in one whole," fractions in symbols and pictures, complex fractions, fractions with fractions,
division by zero, fractions with zero(s), undefined, indeterminant, Special Limits, f(0) is 0/0.

Take A Derivative by Singing!
video
local video
Think product rule, quotient rule, and chain rule in words like "first," "second," "inner," and "outer" rather than in symbols like u(x) and g(x). Three 3 typical derivatives are taken and a series of longer chain rule problems.
Notes:
Languages & Title,
Songs & Title,
jpg of just the song
blank copy of problems,
completed copy of problems,
blank copy of Long Chain Rule problems,
completed Long Chain Rule problems, Links to:
Derivative web page,
Languages of the Math Classroom,
APEX Calculus by Hartman, Heinold, Siemers, Chalishajar, Bowen

"The Lecture Version of fX.f'X.f''X.intX.gsp  Limits, Derivatives, Antiderivatives, FTC I, FTC II Presented Dynamically & Analytically
Sketchpad,
web page,
pdf,
Teachers' Manual web page,
The Languages of the Math Classroom
video,
local video
Key words: end behavior, take a limit, as x approaches c, where f(c) is continuous/not continuous, as x approaches infinity,
derivative by definition, by secant, as the slope of a tangent, mark c, f(c), f' (c), f ' ' (c), increasing/decreasing, zero,
trig derivatives memory trick, partition, differential, Reimann bBoxes, sums, area under a curve, negative areas, use g(x),
cumulative distribution, integral, FTC I, FTC II, "plus c"

The Writing & Running of "Take a Derivative or Complete a Definite Integral" Program
web page
pdf
notes on the video
video,
local video
Key words: derivative, definite integral

Precalc & Calc I Inside Front & Back Cover Quick Reference Material
video tour
local video tour
Key words: "stuff" one needs in precalc and calc to do the homework, recall material a student should understand but has probably just forgotten and wishes to quickly check. Topics include: laws of exponents & logs, trig identities, values of the 6 basic functions of the 30s, 60s, 45s in all 4 quadrants, tables of derivatives and integrals.
