Practice and recall
AP Calculus AB
Limits, derivatives, integrals and differential equations.
Flashcards
Key terms, relationships and recall prompts with spaced review.
Daily review
A short daily warm-up plus every flashcard that is due.
Learning path
Read each topic chapter, then check your understanding.
Mastery map
Each tile combines the readings you have ticked off with how well you recall that topic’s flashcards. Aim to turn every tile green before the exam.
- Not started
- In progress
- Secure
- 1Not started Functions, graphs, and the language of change
- 2Not started Limits and continuity
- 3Not started Derivatives as rates of change
- 4Not started Differentiation tools
- 5Not started Graph shape and local approximation
- 6Not started Modeling with derivatives
- 7Not started Accumulation and definite integrals
- 8Not started Antiderivatives and integration tools
- 9Not started Differential equations and growth
- 10Not started Motion, area, and volume
Built from reading ticks and flashcard reviews saved in this browser. It is a study guide, not a grade.
Unit practice sets
Each AP unit has a complete practice set. Attempt every problem first, then open the separate step-by-step solutions.
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Unit 1
Limits and Continuity
Read nearby behavior carefully, connect four representations, and justify limits and continuity before differentiating.
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Unit 2
Differentiation: Definition and Fundamental Properties
Build derivatives from limiting rates, connect them to tangent lines, then use justified derivative rules with domains intact.
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Unit 3
Differentiation: Composite, Implicit, and Inverse Functions
Follow rates through nested functions, curves and inverse mappings; select coherent procedures and differentiate rates again.
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Unit 4
Contextual Applications of Differentiation
Give derivatives a job: interpret changing quantities, connect motion, relate rates, estimate locally, and use L’Hospital’s Rule with its conditions.
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Unit 5
Analytical Applications of Differentiation
Use derivative evidence to justify what a function does: existence, extrema, monotonicity, concavity, graph connections, optimization, and implicit curves.
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Unit 6
Integration and Accumulation of Change
Turn rates into accumulated change, connect integrals with derivatives, and choose exact or numerical integration methods.
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Unit 7
Differential Equations
Translate rate statements, follow slope fields, solve separated equations, and interpret exponential models with honest domains.
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Unit 8
Applications of Integration
Use accumulated rates, positive strip areas, and geometric slice areas to solve real problems with clear units and bounds.