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Master limits, derivatives, integrals, and their applications for the AP Calculus AB exam.
This AP Calculus AB course on Study Mondo covers 22 topics organized across 7 categories. Each topic includes detailed written explanations, worked examples, practice problems with step-by-step solutions, flashcards for review, and interactive lessons to help you master the material.
All content is completely free. Start with any category below, or jump to a specific topic that you need help with.
Take a diagnostic test covering all 7 AP Calculus AB units. Get a personalized study plan with 3-5 modules to focus on.
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Evaluating limits, squeeze theorem, continuity, and the Intermediate Value Theorem
Definition of the derivative, basic rules, chain rule, and implicit differentiation
Power rule, product rule, quotient rule, trig derivatives, and higher-order derivatives
Critical points, curve sketching, optimization, and linearization
Critical points, first/second derivative tests, concavity, and curve sketching
Setting up and solving optimization problems in business and geometry
Linear approximation, differentials, error estimation, and tangent line approximation
Mean Value Theorem, Rolle's Theorem, Extreme Value Theorem, and IVT applications
Position, velocity, acceleration, speed, displacement, and distance
Riemann sums, definite integrals, FTC, antiderivatives, and u-substitution
Riemann sums, definite integral definition, properties, and the Fundamental Theorem of Calculus
Antiderivative basics, power rule for integration, trig antiderivatives, and initial value problems
Basic u-substitution, definite integrals with u-sub, and complex substitutions
Accumulation concept, interpreting integrals, FTC connections, and rate in vs rate out
Area, volumes, average value, and real-world integration applications
Slope fields, separation of variables, and exponential models
FRQ strategies, tables/data analysis, and full exam review