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