Calculus curriculum & tutors

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Open Calculus curriculum with free tutor support when students need help.

8 public curriculum units1 tutor availableAlways Free
AP Calculus AB/BC / college bridge

Calculus curriculum

A single-variable calculus sequence with a BC extension into series, parametric curves, polar curves, and a multivariable preview.

Pacing
8 units, 28-36 weeks self-paced
Units
8 unit sequence
Practice
640 checked answers
Support
Self-paced or tutor-guided
Outcomes
  • Explain limits, derivatives, and integrals as connected ideas.
  • Use calculus to model change, accumulation, optimization, and motion.
  • Prepare for AP-style free-response reasoning without treating the exam as the whole course.

Video companion links

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Unit sequence

Built for independent progress first, then tutor support where the student gets stuck.

View full curriculum
  1. 01

    Precalculus fluency

    • Review functions, trigonometry, logarithms, and composition.
    • Use graphs and algebra to predict behavior.

    Practice: Diagnose gaps with mixed function tasks before starting limits.

  2. 02

    Limits and continuity

    • Estimate, compute, and justify limits.
    • Classify discontinuities and asymptotic behavior.

    Practice: Write epsilon-level intuition in plain English before using symbolic rules.

  3. 03

    Derivative definition and rules

    • Connect average and instantaneous rate of change.
    • Differentiate algebraic, trigonometric, exponential, and logarithmic functions.

    Practice: Derive a rule from first principles, then apply it to modeling problems.

  4. 04

    Applications of derivatives

    • Analyze motion, optimization, and related rates.
    • Use first and second derivatives to describe graphs.

    Practice: Solve an optimization task with a diagram, domain, derivative, and conclusion.

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