AP Calculus AB

Topic outline

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  Introduction to AP Calculus (IAPC)

  • PreCalculus versus Calculus Activity Interactive Content
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  Preparation for Calculus (PC)

  • Graphical Solutions of Absolute Value Equations and Inequalities Interactive Content
  • Intervals Practice Interactive Content
  • Rates of Change and Linear Equations Practice Interactive Content
  • Functions Practice Interactive Content
  • Determine How the Functions are Symmetrical Interactive Content
  • Match the equation to the correct slot Interactive Content
  • Trigonometric Functions Practice Interactive Content
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  Limits and Continuity (LC)

  • Estimating Limits Graphically and Numerically Practice Interactive Content
  • Evaluating Limits Analytically Practice Interactive Content
  • Continuity and Intermediate Value Theorem Practice Interactive Content
  • Infinite Limit Presentation Interactive Content
  • Infinite Limits and Limits at Infinity Practice Interactive Content
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  Derivatives (D)

  • Graphing the Derivative of a Function Interactive Content
  • Slopes, Tangent Lines, and the Derivative Practice Interactive Content
  • Differentiation Rules Practice Interactive Content
  • Derivatives of Sine and Cosine Interactive Content
  • Derivatives of Basic Trigonometric Functions Practice Interactive Content
  • Higher Order Derivatives Practice Interactive Content
  • Rates of Change Practice Interactive Content
  • Derivative of a Composite Function Interactive Content
  • Chain Rule Practice Interactive Content
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  Applications of Differentiation (AD)

  • Related Rates Problems Practice Interactive Content
  • Extrema and the Extreme Value Theorem Practice Interactive Content
  • Increasing and Decreasing Functions Practice Interactive Content
  • Concavity and the Second Derivative Test Practice Interactive Content
  • Optimization: Fence and Distance Problems Interactive Content
  • Differentials Problems Interactive Content
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  Integration (I)

  • Antiderivatives Practice Interactive Content
  • Area Practice Interactive Content
  • Properties of Definite Integrals Presentation Interactive Content
  • Definite Integrals Practice Interactive Content
  • The Fundamental Theorem of Calculus Practice Interactive Content
  • Integration by Substitution Practice Interactive Content
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  Derivatives and Integrals of Trans Functions (DITF)

  • Exponential Functions Presentation Interactive Content
  • Inverse Functions Practice Interactive Content
  • Natural Logarithmic Function and Differentiation Practice Interactive Content
  • Natural Logarithmic Function and Integration Practice Interactive Content
  • Differentiation and Integration of the Natural Exponential Function Practice Interactive Content
  • Derivatives and Integrals of General Exponential and Logarithmic Functions Interactive Content
  • Bases Other Than e and Applications Practice Interactive Content
  • Relative Magnitudes of Functions and Their Rates of Change Practice Interactive Content
  • Derivatives of Inverse Trigonometric Functions Presentation Interactive Content
  • Differentiation and Integration of Inverse Trigonometric Functions Practice Interactive Content
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  Applications of Integration (AI)

  • Area Between Two Curves Presentation Interactive Content
  • Area Between Two Curves Practice Interactive Content
  • Volume by Disks Situation Presentation Interactive Content
  • Washer Method Presentation Interactive Content
  • Volume by Cylindrical Shell Situation Presentation Interactive Content
  • Volume by Cylindrical Shells Practice Interactive Content
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  Differential Equations and Their Applications (DETA)

  • Differential Equations and General and Particular Solutions Practice Interactive Content
  • Graphical Solution Using Slope Fields Practice Interactive Content
  • Separable Differential Equations Practice Interactive Content
  • Newton's Law of Cooling Presentation Interactive Content
  • Applications and Modeling with Differential Equations Practice Interactive Content
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  Integrations Tech and L Hospitals Rule (ITLR)

  • Tabular Method Presentation Interactive Content
  • Integration by Parts Practice Interactive Content
  • Indeterminate Forms and L'Hopital's Rule Practice Interactive Content
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  AP Calculus AB Review (ABREV)

  • Technology Restrictions on the Exams Interactive Content
  • Use of Sign Charts for Justifying Relative and Absolute Extrema Interactive Content
  • AP Calculus Exam Review: Multiple Choice Interactive Content