Course Code: 47010
This course prepares students to pass the AP examination given in May. Students are taught to work with functions represented in a variety of ways: graphical, numerical, analytical or verbal. The course covers the meaning of the derivative in terms of a rate of change and a local linear approximation. These concepts will be used to solve a variety of problems. Furthermore, the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of a rate of change is taught, with applications. The course teaches the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus. Students will model written descriptions of physical situations with functions, differential equations, or integrals. Technology is used to assist in verifying and interpreting results, determining the reasonableness of solutions, and then making conjectures.