- CONTENTS:
**About the Exams****PART A: Math Review****Chapter 1: Limits and Continuity**- 1.1: Rates of Change
- 1.2: The Limit of a Function and One Sided Limits
- 1.3: Calculating Limits Using the Limit Laws
- 1.4: Properties of Continuity and Intermediate Value Theorem
- 1.5: Limits and Asymptotes
- Answers and Explanations
**Chapter 2: Differentiation**- 2.1: Definition of Derivatives and the Power Rule
- 2.2: The Product and Quotient Rules and Higher Derivatives
- 2.3: The Chain Rule and the Composite Functions
- 2.4: Derivatives of Trigonometric Functions
- 2.5: Derivatives of Exponential and Logarithmic Functions
- 2.6: The Tangent Lines and the Normal Lines
- 2.7: Implicit Differentiation
- 2.8: Derivatives of an Inverse Function
- 2.9: Derivatives of Inverse Trigonometric Functions
- 2.10 Apporximating a Derivative
- Answers and Explanations
**Chapter 3: Applications of Differentiation**- 3.1: Related Rates
- 3.2: Position, Velocity, and Acceleration
- 3.3: Roll's Theorem and The Mean Value Theorem
- 3.4: The First Derivative Test and the Extreme Values of Functions
- 3.5: The Second Derivative Test
- 3.6: Curves of ƒ, ƒ', ƒ'' and Curve Sketching
- 3.7: Optimization Problems
- 3.8: Tangent Line Approximation and Differentials
- Answers and Explanations
**Chapter 4: Integration**- 4.1: Antiderivatives and Indefinite Integrals
- 4.2: Riemann Sums and Area Approximation
- 4.3: Definite Integral, Area Under a Curve, and Application
- 4.4: Properties of Definite Integral
- 4.5: Trapezoidal Rule
- 4.6: The Fundamental Theorem of Calculus Part 1
- 4.7: The Fundamental Theorem of Calculus Part 2
- 4.8: Integration by Substitution
- 4.9: Integration of Exponential and Logarithmic Function
- Answers and Explanations
**Chapter 5: Applications of Integration**- 5.1: Area of a Region between Two Curves
- 5.2: Volumes by Disk and Washers
- 5.3: Volumes of Solids with Known Cross-Sections
- 5.4: The Total Change Theorem (Application of FTC)
- 5.5: Motion of a Particle, Distance, and Displacement
- 5.6: Average Value of a Function
- 5.7: Length of a Curve (Distance Traveled Along a Curve) BC
- Answers and Explanations
**Chapter 6: Techniques of Integration**- 6.1: Basic Integration Rules
- 6.2: Trigonometric Integrals
- 6.3: Trigonometric Substitutions
- 6.4: L'Hospital's Rule
- 6.5: Integration by Partial Fractions BC
- 6.6: Integration by Parts BC
- 6.7: Improper Integrals BC
- Answers and Explanations
**Chapter 7: Further Applications of Integration**- 7.1: Slope Field
- 7.2: Separable Differential Equations
- 7.3: Exponential Growth and Decay
- 7.4: Logistic Equations BC
- 7.5: Euler's Method BC
- Answers and Explanations
**Chapter 8: Parametric Equations, Vectors, and Polar Coordinates**BC- 8.1: Slopes and Tangents to the Parametric Curves
- 8.2: Arc Length (Distance Traveled Along a Curve) in Parametric Form
- 8.3: Vector Valued Functions
- 8.4: Polar Coordinates and Slopes of the Curves
- 8.5: Areas in Polar Coordinates
- Answers and Explanations
**Chapter 9: Infinite Sequences and Series**BC- 9.1: Sequences and Series
- 9.2: The Integral Test and ρ-Series
- 9.3: The Comparison Tests
- 9.4: Alternating Series and Error Bound
- 9.5: The Ratio Test
- 9.6: Convergence of Power Series
- 9.7: Representations of Functions as Power Series
- 9.8: Taylor Polynomial and Lagrange Error Bound
- 9.9: Taylor Series and Maclaurin Series
- Answers and Explanations
**PART B: Practice Tests****AP Calculus AB Practice Test 1**- SECTION I, Part A and Part B
- SECTION II, Part A and Part B
- Answers and Explanations
**AP Calculus AB Practice Test 2**- SECTION I, Part A and Part B
- SECTION II, Part A and Part B
- Answers and Explanations
**AP Calculus BC Practice Test 1**- SECTION I, Part A and Part B
- SECTION II, Part A and Part B
- Answers and Explanations
**AP Calculus BC Practice Test 2**- SECTION I, Part A and Part B
- SECTION II, Part A and Part B
- Answers and Explanations

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