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    AP Calculus AB

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    Units

    Unit 1: Limits and Continuity

    Understanding limits and continuous functions

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    Unit 2: Differentiation: Definition and Fundamental Properties

    Derivatives and their basic properties

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    Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

    Advanced differentiation techniques

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    Unit 4: Contextual Applications of Differentiation

    Related rates and optimization problems

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    Unit 5: Analytical Applications of Differentiation

    Function analysis using derivatives

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    Unit 6: Integration and Accumulation of Change

    Antiderivatives and definite integrals

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    Unit 7: Differential Equations

    Solving and modeling with differential equations

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    Unit 8: Applications of Integration

    Area, volume, and other applications of integration

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