Student Qualifications: Before studying calculus students should complete four years of secondary mathematics designed for college-bound students. Courses in which they study algebra, geometry, trigonometry, analytic geometry, and elementary functions. Students should understand the meaning of the derivative, in terms of a rate of change and local linear approximation and should be able to solve a variety of problem. Students should understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of a rate of change and should be able to use integrals to solve a variety of problem.

Class Syllabus: Calculus AB emphasizes a multi-representational approach to calculus, with concepts, results, and problem being expressed graphically, numerically, analytically, and verbally. The connections among these representations also are important. Each examination consist of two sections, as a multiple-choice section, testing proficiency in a wide variety and a free-response section requiring the student to demonstrate the ability to use reasoning to solve a problem. The time allotted for each AP Calculus Examination is 3 hours and 15 minutes. In determining the grade for each examination, the scores for section 1 and section 2 are given equal weight. The use of graphing calculators in AP classes is considered an integral part of the course.