AP Calculus AB

1 Year
Grade Level (s):
  • Prerequisite(s):
    Note: AP Pre-Calculus with a minimum of B- OR Pre-Calculus with a minimum B+ average.

AP Calculus AB is a full-year, college level course in the calculus of functions of one independent variable. The course is based on the four major concepts of calculus: limits, derivatives, definite and indefinite integrals. According to the College Board, students should be able to work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal, and understand the connections among these representations. Students will be familiar with the meaning of the derivative in terms of a rate of change and local linear approximation and be able to use derivatives to solve a variety of problems. Students should be able to 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. They should also comprehend the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus. In addition, students should be able to communicate mathematics both orally and in well-written sentences and be able to explain solutions to problems. Students should be able to model a written description of a physical situation with a function, a differential equation, or an integral; and they should be able to use technology to help solve problems, experiment, interpret results, and verify conclusions. Furthermore, they should be able to determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement. Lastly, students should be able to develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment. A TI-84 or N-Spire CX CAS calculator is required for this course. Students enrolled will be expected to take the College Board AP exam in May.