AP Calculus BC


 * Elective
 * 1 credit
 * Grades Served: 11,12
 * Prerequisite: Algebra II
 * More details available at: http://www.collegeboard.com/student/testing/ap/sub_calbc.html?calcbc

Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics. At completion of this course, students should be able to: 1) Work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal. They should understand the connections among these representations.  2) Understand the meaning of the derivative in terms of a rate of change and local linear approximation and they should be able to use derivatives to solve a variety of problems. 3) Understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change and should be able to use integrals to solve a variety of problems. 4) Understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus. 5) Communicate mathematics both orally and in well-written sentences and should be able to explain solutions to problems. 6) Model a written description of a physical situation with a function, a differential equation, or an integral. 7) Use technology to help solve problems, experiment, interpret results, and verify conclusions. 8) Determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement. 9) Develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment.