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AP Calculus BC
AP Calculus BC
AP Calculus BC includes all topics from AP Calculus AB plus additional topics as defined in the AP Calculus Course Description. The objectives that students are asked to strive to meet are to use and build upon mathematical skills and concepts previously learned, to communicate mathematics with others, and to develop an appreciation for the power of mathematics. The course is primarily concerned with developing students’ understanding of calculus, and the course will provide experience with the methods and applications of calculus. The desired outcome is to have a body of knowledge with which a student may not only do well on the AP exam, but may continue with study in courses that follow.
By successfully completing this course, you will be able to:1. Work with functions represented in a variety of ways and 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 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 be able to use integrals to solve problems.4. Understand the relationship between the derivative and the definiteIntegral as expressed in the Fundamental Theorem of Calculus.5. Communicate mathematics both orally and in well-written sentences 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.
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