AP Calculus

Duration

10 Months

Prerequisites

None

Requirements

None

Course Summary

Calculus is the study of change, applied to solve complex problems. This AP course covers limits, differentiation, and integration, focusing on functions, derivatives, definite and indefinite integrals, inverse functions, and various integration techniques.

MAJOR TOPICS AND CONCEPTS

AP Calculus

  • Work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal, and understand the connections among these representations.
  • 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.
  • Understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change and use integrals to solve a variety of problems.
  • Understand the relationship between the derivative and the definite integral as expressed in both parts of the fundamental theorem of calculus.
  • Communicate mathematics both orally and in well-written sentences and explain solutions to problems.
  • Model a written description of a physical situation with a function, a differential equation, or an integral.
  • Use technology to help solve problems, experiment, interpret results, and verify conclusions.
  • Determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement.
  • Develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment.

How AP Calculus supports student success

In AP Calculus, students build subject knowledge through structured online lessons, guided practice, and regular feedback from qualified teachers. The course supports flexible study while maintaining clear academic expectations and steady progress.

Students can revisit learning materials, complete assignments at a manageable pace, and use teacher guidance to strengthen understanding. Families can follow progress while learners develop organization, independent study habits, and confidence.

  • Clear learning goals connect each lesson to the wider course.
  • Activities and assignments help students apply important concepts.
  • Assessments and teacher feedback identify strengths and next steps.
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