AP Calculus AB · COVERAGE & GAPS AP Calculus AB: Coverage Map & Learning Gaps AB foundation expansion: 96 task families with unit and task crosswalks; not complete syllabus mastery
A partial map, not a completion score. Official current AP Central CED inspected on 2026-10-26, including topics 3.4, 4.7, 6.9, 7.6–7.8 and 8.11–8.12. Local extension IDs are not official objective codes. Euler (7.5), logistic models (7.9), series, polar and parametric BC-only content are excluded.
Mapping describes the available practice, not your mastery or readiness for the exam. Reviewed 2026-10-26.
Limits and continuity Partial practice 6 linked question families · 30 variants. Variants are not separate syllabus objectives.
What still needs work Full vertical-asymptote, infinite-limit and discontinuity classification practice remains selective; no complete graph-to-limit reconstruction set.
Derivative definitions and fundamental properties Partial practice 7 linked question families · 30 variants. Variants are not separate syllabus objectives.
What still needs work Derivative-from-graph reconstruction and all elementary derivative-rule combinations remain selective.
Composite, implicit and inverse functions Partial practice 7 linked question families · 28 variants. Variants are not separate syllabus objectives.
What still needs work Nested compositions with three or more layers and general inverse-function graph interpretation remain gaps; inverse-trigonometric work is limited to selected formulas.
Contextual derivative applications Partial practice 4 linked question families · 16 variants. Variants are not separate syllabus objectives.
What still needs work Context selection, units and calculator-supported motion analysis need a broader task set.
Analytical derivative applications Partial practice 6 linked question families · 24 variants. Variants are not separate syllabus objectives.
What still needs work Complete curve-sketching tasks, extended optimization modeling and sustained theorem-based justification remain gaps.
Integration and accumulation Partial practice 7 linked question families · 28 variants. Variants are not separate syllabus objectives.
What still needs work Long division/completing-square integration, all Riemann-limit notation and graph reconstructions remain gaps.
Differential equations Partial practice 4 linked question families · 16 variants. Variants are not separate syllabus objectives.
What still needs work Drawing and interpreting full slope fields and broad contextual differential-equation models remain gaps; BC-only Euler and logistic topics are excluded.
Applications of integration Partial practice 7 linked question families · 28 variants. Variants are not separate syllabus objectives.
What still needs work Volumes about varied vertical axes, broad calculator applications and long multi-part modeling remain selective.
Rationalized limit Partial practice 1 linked question families · 5 variants. Variants are not separate syllabus objectives.
What still needs work Full vertical-asymptote, infinite-limit and discontinuity classification practice remains selective; no complete graph-to-limit reconstruction set.
One sided graph Partial practice 1 linked question families · 5 variants. Variants are not separate syllabus objectives.
What still needs work Full vertical-asymptote, infinite-limit and discontinuity classification practice remains selective; no complete graph-to-limit reconstruction set.
Squeeze oscillation Partial practice 1 linked question families · 5 variants. Variants are not separate syllabus objectives.
What still needs work Full vertical-asymptote, infinite-limit and discontinuity classification practice remains selective; no complete graph-to-limit reconstruction set.
Ivt zero count Partial practice 1 linked question families · 5 variants. Variants are not separate syllabus objectives.
What still needs work Full vertical-asymptote, infinite-limit and discontinuity classification practice remains selective; no complete graph-to-limit reconstruction set.
Smooth piecewise Partial practice 1 linked question families · 5 variants. Variants are not separate syllabus objectives.
What still needs work Derivative-from-graph reconstruction and all elementary derivative-rule combinations remain selective.
Table derivative Partial practice 1 linked question families · 5 variants. Variants are not separate syllabus objectives.
What still needs work Derivative-from-graph reconstruction and all elementary derivative-rule combinations remain selective.
Scaled definition Partial practice 1 linked question families · 5 variants. Variants are not separate syllabus objectives.
What still needs work Derivative-from-graph reconstruction and all elementary derivative-rule combinations remain selective.
Implicit second Partial practice 1 linked question families · 5 variants. Variants are not separate syllabus objectives.
What still needs work Nested compositions with three or more layers and general inverse-function graph interpretation remain gaps; inverse-trigonometric work is limited to selected formulas.
Tangent chain Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Nested compositions with three or more layers and general inverse-function graph interpretation remain gaps; inverse-trigonometric work is limited to selected formulas.
Secant chain Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Nested compositions with three or more layers and general inverse-function graph interpretation remain gaps; inverse-trigonometric work is limited to selected formulas.
Arcsine chain Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Nested compositions with three or more layers and general inverse-function graph interpretation remain gaps; inverse-trigonometric work is limited to selected formulas.
Arctangent chain Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Nested compositions with three or more layers and general inverse-function graph interpretation remain gaps; inverse-trigonometric work is limited to selected formulas.
Mvt rate bound Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Complete curve-sketching tasks, extended optimization modeling and sustained theorem-based justification remain gaps.
Rolle zero count Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Complete curve-sketching tasks, extended optimization modeling and sustained theorem-based justification remain gaps.
Repeated lhopital Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Context selection, units and calculator-supported motion analysis need a broader task set.
Reject lhopital Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Context selection, units and calculator-supported motion analysis need a broader task set.
Stationary sign change Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Complete curve-sketching tasks, extended optimization modeling and sustained theorem-based justification remain gaps.
Inflection sign change Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Complete curve-sketching tasks, extended optimization modeling and sustained theorem-based justification remain gaps.
Singular critical point Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Complete curve-sketching tasks, extended optimization modeling and sustained theorem-based justification remain gaps.
Closed interval extreme Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Complete curve-sketching tasks, extended optimization modeling and sustained theorem-based justification remain gaps.
Sliding ladder Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Context selection, units and calculator-supported motion analysis need a broader task set.
Sphere radius rate Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Context selection, units and calculator-supported motion analysis need a broader task set.
Similar cone rate Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Context selection, units and calculator-supported motion analysis need a broader task set.
Cylinder surface minimum Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Complete curve-sketching tasks, extended optimization modeling and sustained theorem-based justification remain gaps.
Polynomial substitution Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Long division/completing-square integration, all Riemann-limit notation and graph reconstructions remain gaps.
Logarithmic substitution Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Long division/completing-square integration, all Riemann-limit notation and graph reconstructions remain gaps.
Trigonometric substitution Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Long division/completing-square integration, all Riemann-limit notation and graph reconstructions remain gaps.
Decreasing substitution Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Long division/completing-square integration, all Riemann-limit notation and graph reconstructions remain gaps.
Integral linearity Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Long division/completing-square integration, all Riemann-limit notation and graph reconstructions remain gaps.
Interval subtraction Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Long division/completing-square integration, all Riemann-limit notation and graph reconstructions remain gaps.
Unequal left sum Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Long division/completing-square integration, all Riemann-limit notation and graph reconstructions remain gaps.
Trapezoid error Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Long division/completing-square integration, all Riemann-limit notation and graph reconstructions remain gaps.
Verify nonlinear solution Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Drawing and interpreting full slope fields and broad contextual differential-equation models remain gaps; BC-only Euler and logistic topics are excluded.
Separable reciprocal Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Drawing and interpreting full slope fields and broad contextual differential-equation models remain gaps; BC-only Euler and logistic topics are excluded.
Ode concavity Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Drawing and interpreting full slope fields and broad contextual differential-equation models remain gaps; BC-only Euler and logistic topics are excluded.
Half life model Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Drawing and interpreting full slope fields and broad contextual differential-equation models remain gaps; BC-only Euler and logistic topics are excluded.
Crossing area Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Volumes about varied vertical axes, broad calculator applications and long multi-part modeling remain selective.
Horizontal slices Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Volumes about varied vertical axes, broad calculator applications and long multi-part modeling remain selective.
Unknown average bound Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Volumes about varied vertical axes, broad calculator applications and long multi-part modeling remain selective.
Integral mean point Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Volumes about varied vertical axes, broad calculator applications and long multi-part modeling remain selective.
Washer volume Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Volumes about varied vertical axes, broad calculator applications and long multi-part modeling remain selective.
Shifted axis volume Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Volumes about varied vertical axes, broad calculator applications and long multi-part modeling remain selective.
Triangular cross sections Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Volumes about varied vertical axes, broad calculator applications and long multi-part modeling remain selective.
Semicircle cross sections Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Volumes about varied vertical axes, broad calculator applications and long multi-part modeling remain selective.
Accumulation curvature Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Long division/completing-square integration, all Riemann-limit notation and graph reconstructions remain gaps.
Maximum inventory Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Volumes about varied vertical axes, broad calculator applications and long multi-part modeling remain selective.
Two moving bounds Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Long division/completing-square integration, all Riemann-limit notation and graph reconstructions remain gaps.
Running average rate Partial practice 1 linked question families · 4 variants. Variants are not separate syllabus objectives.
What still needs work Long division/completing-square integration, all Riemann-limit notation and graph reconstructions remain gaps. 