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AP Calculus BC

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Units

Unit 1: Limits and Continuity

Understanding limits and continuous functions

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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Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions

Alternative coordinate systems and vector functions

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Unit 10: Infinite Sequences and Series

Convergence and divergence of infinite series

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