COUNTDOWN TO THE AP CALCULUS AB EXAM

With a little effort you can retrieve material that has become "fuzzy."

Beckett's Big Advice:

"You don't have to get everything right; you just have to get more than the others."

"If it's difficult for you; it's difficult for everyone else."

Beckett's Chapter Summaries

The AP course description has a practice test on pages 25-37 of the pdf at:

Mrs. Howe will provide you with a print out of this if you ask.

WORK THROUGH THIS PRACTICE TEST

TOPICS	HELPS
Pre-Calculus/Trig/logarithms	Identities Solving Trig Equations (Visual Calculus) Things I encountered in practice tests.
Limits and Continuity	Limit from the left ... plug-n-chug if you can factor cancel rationalize numerator Squeeze Formulas (a new disquise:
Derivatives	DEFINITION OF DERIVATIVE power rule, quotient, product, 0exponential, ln, inverese trig First derivative gives slope Positive first derivative means increasing Negative first derivative means decreasing Second derivative gives concavity Implicit derivatives Linearization: Use the equation of the tangent line to predict a future value of a function. Releative Min/max can occur when the first derivative =0 SPEED = Magnitude of the Velocity. (not negative) Mean Value Theorem--some point has the same slope as the interval overall
Applications of Derivatives	Minimum/ Maximum Related Rates
The Definitie Integral	Area under velocity curve=total distance covered. Definite/Indefinite Average Value of Function
Differential Equations and Mathematical Modeling	all solutions of y'=ky are y=Ce^kt
Applications of Definit Integrals	Volumes of revolution

Average Rate of Change

Average Value

Area travelled