Calculus
IB · Mathematics AA HL
Introduction to the concept of a limitThe derivative as gradient function and rate of changeIncreasing and decreasing functionsDifferentiation of polynomials, tangents and normalsIntroduction to integrationDerivatives of trigonometric, exponential and logarithmic functions; chain, product and quotient rulesThe second derivativeLocal maximum and minimum points and optimizationKinematicsIndefinite integrals and integration by substitutionDefinite integrals and area under a curveLimits, continuity and differentiabilityImplicit differentiation and related ratesL'Hopital's ruleIntegration by parts and volumes of revolutionDifferential equationsMaclaurin series
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