Topics include: Anti-derivatives; Definite Integrals. Practice, review, and testing included. An answer key is included in this 112-page book.

The Calculus AB skills presented in this unit are those necessary in high school Advanced Placement.

Calculus AB has been divide into two volumes.

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.

Table of Contents

ANTIDERIVATIVES

• Basic Anti-differentiation Formulas
• Finding the Constant
• Integration By Parts
• Integration By Substitution
• Parts, Substitution, Both, or Neither
• Partial Fractions

DEFINITE INTEGRALS

• The Fundamental Theorem of Calculus
• Sigma Notation
• Riemann Sums
• Approximation of Definite Integrals
• Areas Between Two or More Curves
• Average Value of a Function
• Volume of Solids - Disk & Washer Methods
• Volume of Solids - Shell Method
• Acceleration, Velocity & Distance
• Separable Differential Equations
• Growth & Decay

ANSWER KEY