Advanced Placement Calculus AB

  • COURSE GOALS
    • Students should be able to work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal. They should understand the connections among these representations.
    • Students should understand the meaning of the derivative in terms of a rate of change and local linear approximation, and should be able to use derivatives to solve a variety of problems.
    • Students should 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.
    • Students should understand the relationship between the derivative and the definite integral as expressed in both pads of the Fundamental Theorem of Calculus.
    • Students should be able to communicate mathematics and explain solutions to problems both verbally and in written sentences.
    • Students should be able to model a written description of a physical situation with a function, a differential equation, or an integral.
    • Students should be able to use technology to help solve problems, experiment, interpret results, and support conclusions.
    • Students should be able to determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement.
    • Students should develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment.

  • 2019-2020 SYLLABUS

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  • ASSIGNMENTS

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