about

AP Calculus AB follows the curriculum set forth by the College Board. It is worth the equivalent of one semester of college credit upon successful completion of the AP examination offered in May. Students enrolled in this course are required to take this test. Topics covered include library of functions, limits, the derivative, applications of the derivative, definite and indefinite integrals, applications of integration, etc.

notes / updates

April 2, 2025 | Visualizing Solids of Known Cross-Sections
https://www.geogebra.org/m/XFgMaKTy
February 27, 2025 | Study Guide
As we get closer to the end of the curriculum, now ​i​s a good time to invest in a study guide for AP Calculus AB. The Princeton Review at the link below ​is recommended.​ Older editions of the same series should be fine, too. If you don't like Amazon, buy elsewhere​ after searching by title or ISBN. ​ Purchasing the study guide is NOT required.
Publisher: Princeton Review; Premium edition
ISBN-10: 0593516737
ISBN-13: 978-0593516737
https://www.amazon.com/Princeton-Review-Calculus-Premium-Prep/dp/0593516737
January 13, 2025 | Thoughts on recent quiz
If there are typos or mistakes, let me know so I can fix them here.

P1.
\( s(t) = t^3-9t^2+24t \)
\( v(t) = 3t^2-18t+24 = 3 (t-2)(t-4) \)
\( a(t) = 6t-18 = 6(t-3) \)
Study the sign behavior of velocity and acceleration, to conclude that that particle is slowing down on the intervals (0, 2) and (3,4) and speeding up on the intervals (2, 3) and \( (4, \infty) \).
Be sure to include a neat schematic drawing with domain \( t\geq 0 \) and s(0) = 0, s(2)=20, s(3)=18, s(4)=16.

ap classroom

expectations