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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