Table of Contents
 Chapter 1 Welcome to REA’s All Access for AP Calculus AB & BC
 Chapter 2 Strategies for the Exams

Chapter 3 A Precalculus Review
 Evaluating Functions
 Domain and Range from Function Graphs
 Even and Odd Functions
 Difference of Two Squares
 Factoring PerfectSquare Trinomials
 Sum and Difference of Two Cubes
 Equation of a Straight Line: Slope–Intercept Form
 Equation of a Straight Line: General Form
 Equation of a Straight Line: Standard and Point–Slope Forms
 Discriminants of Quadratics
 Solving Quadratic Equations: Quadratic Formula
 Horizontal and Vertical Asymptotes of a Function
 Graphs of Inverses of Functions
 Inverse of a Function
 Zero and Negative Exponents
 Fractional Exponents
 Absolute Value Equations
 Onestep Inequalities: Multiplication or Division
 TwoVariable Absolute Value Inequalities
 Laws of Logarithms
 Trigonometric Functions of Standard Position Angle
 Evaluating Trigonometric Functions
 Evaluating Trigonometric Function Values with Angles 30,45, and 60
 Simple Trigonometric Equations
 AP Calculus AB

Chapter 4 Basic Calculus Concepts and Limits
 Properties of Limits
 Limits from Tables and Graphs
 Limits and Limit Notation
 Limits by Direct Substitution
 Evaluating Limits Using Algebraic Techniques
 OneSided Limits
 Limits at Infinity and Unbounded Limits
 Limits and Asymptotic Behavior
 Continuity at a Point
 Existence of Limits
 Classifying Discontinuities
 Continuity of Functions

Chapter 5 Derivatives
 Rate of Change and Derivatives
 Average and Instantaneous Rates of Change
 Definition of the Derivative
 Estimating Derivatives
 Power Rule of Derivatives
 The Product Rule
 The Quotient Rule
 Second and HigherOrder Derivatives
 The Chain Rule
 Combining the Product, Quotient, and Chain Rules
 Linear Approximation
 Differentiation of Trigonometric Functions
 Differentiation of Reciprocal Trigonometric Functions
 Differentiation of Exponential Functions
 Differentiation of Logarithmic Functions
 Derivatives of Inverse Trigonometric Functions
 Implicit Differentiation
 Differentiation of Inverse Functions
 Tangents to the Graph of a Function
 The Differentiability of a Function

Chapter 6 Applications of Differentiation
 Related Rates
 Applications of Derivatives on Rectilinear Motion
 Intermediate Value Theorem
 The Mean Value Theorem
 Increasing and Decreasing Intervals of a Function Using Derivatives
 Critical Points and Local Extrema of a Function
 Concavity and Points of Inflection
 Second Derivative Test for Local Extrema
 Interpreting Graphs of Derivatives
 Absolute Extrema
 Optimization Using Derivatives
 L’Hôpital's Rule
 Indeterminate Forms and L'Hôpital's Rule

Chapter 7 Integration
 Antiderivatives
 Indefinite Integrals: The Power Rule
 Indefinite Integrals: Trigonometric Functions
 Indefinite Integrals: Exponential and Reciprocal Functions
 Integration by Substitution: Indefinite Integrals
 Integrals Resulting in Logarithmic Functions
 Integrals Resulting in Inverse Trigonometric Functions
 Riemann Sums
 Initial Value Problems
 Riemann Sums and Sigma Notation
 Definite Integrals as Limits of Riemann Sums
 Numerical Integration: Riemann Sums
 Numerical Integration: The Trapezoidal Rule
 The Fundamental Theorem of Calculus: Functions Defined by Integrals
 The Fundamental Theorem of Calculus: Evaluating Definite Integrals
 The Net Change Theorem

Chapter 8 Applications of Integration
 Area between a Curve and a Line
 Area between Curves
 Properties of Definite Integrals
 Integration by Substitution: Definite Integrals
 Average Value of a Function
 Rectilinear Motion and Integration
 Volumes by Slicing
 Volumes of Solids of Revolution Using the Disk and Washer Methods
 Exponential Growth and Decay Models
 Separable Differential Equations
 AP Calculus BC
 Chapter 9 Additional Limit and Integration Problems

Chapter 10 Additional BC Calculus Applications
 Euler’s Method
 The Logistic Model
 Arc Length by Integration
 Arc Length of Parametric Curves
 Planar Motion Using Parametric Equations
 Parametric Equations and Curves in Two Dimensions
 Derivatives of VectorValued Functions
 Integrals of VectorValued Functions
 VectorValued Functions
 Graphing Polar Curves
 Area Bounded by Polar Curves
 Polar Coordinates

Chapter 11 Sequences and Series
 Alternating Series Test
 Conditional and Absolute Convergence
 Harmonic and pSeries
 Limit Comparison Test
 Ratio Test
 Integral Test for Series
 Infinite Geometric Series
 The nth Term Divergence Test
 Comparison Test for Series
 Remainder of an Alternating Series
 Power Series and Radius of Convergence
 Partial Sums
 Operations on Power Series
 Representing Rational Functions Using Power Series
 Lagrange Error Bound
 Maclaurin Series
 Taylor Series
 Taylor Polynomials Approximation to a Function
 Maclaurin and Taylor Series of Common Functions
 Differentiating and Integrating Power Series