The Calculus AB skills presented in this unit are those necessary in high school Advanced Placement.
Calculus AB has been divided into two volumes.
Volume 1 Covers:
- Limits and Continuity
- Applications of Derivatives
The overall format of this unit provides explanations of specific topics, followed by examples modeling the topics and exercises to reinforce proficiency of the presented topics. It is assumed that the reader is familiar with algebra, trigonometry, and pre-calculus skills.
Calculus AB includes the elements of differential and integral calculus of functions of a single variable, including standard applications such as optimization, related rates, volumes of solids of rotation, and separable differential equations. The rigorous theoretical foundations of calculus, such as delta-epsilon definition of limit, are not covered. Those more rigorous topics are left to Calculus BC.