Cover -- Contents -- Preface -- PART I: STRATEGIES FOR THE AP EXAM -- Preparing for the AP Calculus Examination -- What's in This Book -- What's in the Calculus: Early Transcendentals Textbook That Will Help You Prepare -- How to Get the Most Out of Your Calculus Class -- Setting Up a Review Schedule -- AP Information Before the Examination -- Taking the AP Calculus Examination -- Exam Format -- General AP Test-Taking Strategies -- Strategies for the Multiple-Choice Section -- Strategies for the Free-Response Section -- A Diagnostic Test -- Answers and Answer Explanations -- PART II: A REVIEW OF AP CALCULUS -- Chapter 1: Limits and Their Properties -- Finding and Estimating a Limit -- Strategies for Calculating Limits -- Infinite Limits Versus Limits at Infinity -- Continuity -- Past AP Free-Response Problems Covered by This Chapter -- Multiple-Choice Questions -- Free-Response Question -- Answers -- Chapter 2: Differentiation -- The Derivative -- Definition of the Derivative of a Function -- Notations for Derivatives -- Connection between Differentiability and Continuity -- Derivatives: Rules and Applications -- Differentiation of a Logarithmic Function -- Logarithmic Differentiation -- Past AP Free-Response Problems Covered by This Chapter -- Multiple-Choice Questions -- Free-Response Question -- Answers -- Chapter 3: Applications of Derivatives -- Extrema on an Interval -- Key Theorems -- Extremum -- Concavity of a Graph -- Characteristics of f, f', f'', and Their Relationships -- Analysis of Curves -- Applications of Derivatives -- Past AP Free-Response Problems Covered by This Chapter -- Multiple-Choice Questions -- Free-Response Question -- Answers -- Chapter 4: Integration -- Definition of an Antiderivative -- Riemann Sums -- The Trapezoidal Rule -- Major Theorems of Calculus -- Techniques of Integration.

Substitution Rule (Change of Variables) -- The General Power Rule for Integration -- Past AP Free-Response Problems Covered by This Chapter -- Multiple-Choice Questions -- Free-Response Question -- Answers -- Chapter 5: Applications of Integration -- Area of a Region Between Two Curves -- Net Change/Integration as an Accumulation Process -- Volume of a Solid of Revolution-The Disk Method -- Solids with Known Cross Sections -- Arc Length -- Past AP Free-Response Problems Covered by This Chapter -- Multiple-Choice Questions -- Free-Response Question -- Answers -- Chapter 6: Advanced Integration Techniques (BC Topics Only) -- Basic Integration Rules and Techniques -- Integration by Parts -- Partial Fractions -- Indeterminate Forms and L'Hôpital's Rule -- Improper Integrals -- Past AP Free-Response Problems Covered by This Chapter -- Multiple-Choice Questions -- Free-Response Question -- Answers -- Chapter 7: Differential Equations (AB and BC Topics) -- Direction Fields (Slope Fields) -- Euler's Method -- Separation of Variables -- Differential Equations: Growth and Decay -- Logistic Differential Equations -- Past AP Free-Response Problems Covered by This Chapter -- Multiple-Choice Questions -- Free-Response Question -- Answers -- Chapter 8: Infinite Series (BC Topics Only) -- Sequences -- Series and Convergence -- Series -- Tests for Convergence -- Taylor Polynomials and Approximations -- Lagrange Error Bound for Taylor Polynomials -- Power Series -- Power Series of Elementary Functions -- Past AP Free-Response Problems Covered by This Chapter -- Multiple-Choice Questions -- Free-Response Question -- Answers -- Chapter 9: Parametric Equations, Polar Coordinates, and Vectors (BC Topics Only) -- Parametric Equations -- Polar Equations -- Vector-Valued Functions -- Past AP Free-Response Problems Covered by This Chapter -- Multiple-Choice Questions.

Free-Response Question -- Answers -- PART III: PRACTICE TESTS -- AB Practice Test 1 -- Answers to AB Practice Test 1 -- AB Practice Test 2 -- Answers to AB Practice Test 2 -- BC Practice Test 1 -- Answers to BC Practice Test 1 -- BC Practice Test 2 -- Answers to BC Practice Test 2.