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Topic Outline for AP Calculus AB

I.** Functions, Graphs, and Limits**
• Analysis of Graphs
• Limits of Functions (including one-sided limits)
• Asymptotic and Unbounded Behavior
• Continuity as a Property of Functions
__II. Derivatives__
• Concept of the Derivative
• Derivative at a Point
• Derivative as a Function
• Second Derivatives
• Applications and Computation of Derivatives
__III. Integrals__
• Interpretations and Properties of Definite Integrals
• Applications of Integrals
• Fundamental Theorem of Calculus
• Techniques and Applications of Anti-differentiation
• Numerical Approximations to Definite Integrals
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