AP Calculus AB

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1Unit 1: Limits and Continuity96 cards · Limits from graphs, tables and algebra; the squeeze theorem; continuity and discontinuities; asymptotes; the Intermediate Value Theorem.2Unit 2: Differentiation — Definition and Fundamental Properties92 cards · Average and instantaneous rates of change, the limit definition of the derivative, differentiability, and the power, product, quotient, trig, exponential and log rules.3Unit 3: Differentiation — Composite, Implicit, and Inverse Functions62 cards · The chain rule, implicit differentiation, derivatives of inverse and inverse trig functions, and higher-order derivatives.4Unit 4: Contextual Applications of Differentiation102 cards · Derivatives in context with units, straight-line motion, related rates, local linear approximation, and L'Hospital's Rule.5Unit 5: Analytical Applications of Differentiation134 cards · The Mean Value and Extreme Value Theorems, increasing/decreasing intervals, concavity, derivative tests, curve sketching, optimization, and implicit relations.6Unit 6: Integration and Accumulation of Change155 cards · Riemann sums, the definite integral, both parts of the Fundamental Theorem of Calculus, accumulation functions, antiderivatives, and u-substitution.7Unit 7: Differential Equations67 cards · Modeling with differential equations, verifying solutions, slope fields, separation of variables, and exponential growth and decay.8Unit 8: Applications of Integration99 cards · Average value, motion and accumulation problems, area between curves, and volumes by cross sections, discs and washers.

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Flashcards for AP Calculus AB, organized by the eight units of the College Board AP Calculus AB and BC Course and Exam Description, from limits and continuity through applications of integration. 807 cards in 8 decks, mixing theorem and concept cards with worked limits, derivatives, integrals, related rates, optimization, differential equations, areas and volumes. Built from publicly available sources such as the AP Calculus AB and BC Course and Exam Description, MIT OpenCourseWare 18.01, and OpenStax Calculus Volume 1. Check details against official College Board materials; flashcards are a memory-retention tool, not a replacement for the course.