AP Calculus AB

AP Calculus AB

1. Functions, Graphs, and Limits

   • Analysis of Graphs
   • Limits of Functions
     • Calculating using Algebra
       • Estimating with graphs or tables
   • Asymptotic and Unbounded Behavior
     • Asymptotic behavior involving limits and infinity
       • Comparing relative magnitudes
   • Continuity
     • Intermediate and Extreme Value Theorums

2. Derivaties

   • Concept of Derivative
     • Graphically
       • Numerically
         • Analytically
   • At a point
     • Slopes
       • Tangent Line
         • Instantaneous Rate of Change
   • As a Function
     • ƒ vs. ƒ '
       • Mean Value Theorum
   • Second Derivaties
   • Chain Rule
     • Implicit Differentiation

3. Integrals

   • Definite Integrals
     • Reimann Sums
     • Addivity & Linearity
   • Application of Integrals
   • Fundamental Theorum of Calculus
   • Antidifferentiation
     • Techniques & Applications