AP Calculus

Course Description:

Understand the meaning of the derivative in terms of rate of change and local linear approximation and use these derivatives to solve a variety of problems.

Understand the meaning of the definite integral as a limit of Riemann sums as well as the net accumulation of change, and use these integrals to solve a variety of problems.

Understand the relationship between the derivative and the definite integral.

Prerequisites: Successful completion of Precalculus

Textbook Used:

Larson, Hostetler and Edwards.(2006) Calculus with analytic geometry.  Evenston, IL., Houghton Mifflin Company
 
Units Covered:

• Limits and Their Properties
• Differentiation
• Applications of Differentiation
• Integration
• Logarithmic, Exponential and other Transcendental Functions
• Differential Equations
• Application of Integration