Functions and GraphsFunctions and GraphsLimitsRates of ChangeContinuity, Derivatives, and GraphsIntegrationOverview of Math 1AOverview of Math 1AMay 3, 20101 / 7Overview of Math 1AFunctions and GraphsFunctions and GraphsLimitsRates of ChangeContinuity, Derivatives, and GraphsIntegration2 / 7Overview of Math 1AFunctions and GraphsIFunctions, relations, tablesIInverting functionsIAdding, multiplying, and composing functionsIExamples, models3 / 7Overview of Math 1ALimitsLimitsIIntuitive ideaIPrecise definition (–δ)ILimit laws4 / 7Overview of Math 1ARates of ChangeRates of ChangeISlopeIDerivativesITangent line and approximationIComputing derivatives5 / 7Overview of Math 1AContinuity, Derivatives, and GraphsContinuity, Derivatives, and GraphsIIntermediate and extreme value theoremsIRolle’s theorem and mean value theoremIApplications to graphingIOptimizationIRelated ratesINewton’s method6 / 7Overview of Math 1AIntegrationIntegrationIAntiderivativesIRiemann sums and areasIFundamental theorem of CalculusIEvaluation of integralsIRecognition of integrals: volumes, averages, mass, work7 /
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