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Marlow Works

AP Course

AP Calculus AB

Build fluency with the three big ideas of Calculus AB. These units are a skeleton for worked examples later.

3 units6 lessons3 terms

Units

Work through the outline like a study guide. Each unit holds short lesson notes and key concepts you can expand later.

Unit 1 of 3

2 lessons

Limits and Continuity

What a limit is and when a function is continuous.

Key concepts

  • Limit
  • One-sided limits
  • Continuity
  • Lesson

    Limit intuition

    Approaching a value from both sides.

  • Lesson

    Continuity

    No breaks, jumps, or holes at a point.

Unit 2 of 3

2 lessons

Differentiation

The derivative as rate of change and slope.

Key concepts

  • Instantaneous rate
  • Differentiability
  • Chain rule
  • Lesson

    Definition of the derivative

    Limit of the difference quotient.

  • Lesson

    Rules

    Power, product, quotient, and chain rule—practice later.

Unit 3 of 3

2 lessons

Integration and the FTC

Accumulation and the Fundamental Theorem of Calculus.

Key concepts

  • Accumulation
  • Antiderivative
  • Fundamental Theorem
  • Lesson

    Definite integrals

    Net change and area.

  • Lesson

    FTC

    Connecting derivatives and integrals.

Vocabulary

Study resources