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CalculusBy Educator Today

Calculus pathway

AB → BC bridge

For learners who have completed AB: the BC modules embedded in units 6–8 as well as units 9–10. Not a substitute for a complete AB foundation.
18 lessons18 BC extensions5 units

2027 exam structure

  • Multiple choice, no calculator29 questions · 62 min
  • Multiple choice, calculator13 questions · 38 min
  • Free response, calculator2 questions · 30 min
  • Free response, no calculator4 questions · 60 min

Structure verified 2026-10-08.

Lessons

Review editionNot yet human-reviewed

Unit C6Integration and accumulation

  1. C26Integration by parts
    BC extension45 min
  2. C27Linear partial fractions
    BC extension45 min
  3. C28Improper integrals and convergence
    BC extension45 min

Unit C7Differential equations

  1. C31Exponential and logistic models
    BC extension45 min
  2. C32Euler’s method and error direction
    BC extension45 min

Unit C8Applications of integration

  1. C37Arc length and distance along a curve
    BC extension45 min

Unit C9Parametric, polar and vector calculus

  1. C38Parametric derivatives and second derivatives
    BC extension45 min
  2. C39Parametric arc length and vector derivatives
    BC extension45 min
  3. C40Vector integration and motion in the plane
    BC extension45 min
  4. C41Polar slopes and areas
    BC extension45 min
  5. C54Intersecting polar curves and shared regions
    BC extension45 min

Unit C10Sequences and series

  1. C42Sequences, series and the nth-term test
    BC extension45 min
  2. C43Geometric and p-series; the integral test
    BC extension45 min
  3. C44Direct and limit comparison
    BC extension45 min
  4. C45Alternating, absolute and conditional convergence
    BC extension45 min
  5. C46Ratio test and convergence intervals
    BC extension45 min
  6. C47Taylor polynomials and Lagrange error
    BC extension45 min
  7. C48Power-series representations and operations
    BC extension45 min