Calculus X is the most effective study tool for calculus at the AP or intro college level. It integrates free response questions, concise videos, quizzes, formula sheets, scratch pad and references to make the study process efficient, easy and mobile.If you’re a busy student, finding enough time to study for each calculus exam is a challenge. We have used the latest developments in educational psychology to build an app that maximizes productivity and helps you learn and do calculus as quickly as possible. WHAT’S INCLUDED:-Over 800 multiple choice questions with detailed solutions. These conceptual based questions help you to learn calculus in a deep and intuitive way. They can all be answered without a calculator, pen or paper; making the study process as mobile as possible. -Over 75 beautiful 720p videos which solve free response style questions in step-by-step detail.These concise videos were designed specifically for the mobile device and solve the problems clearly and systematically in order to develop your problem solving intuition. They use narration and detailed visual guidance to increase understanding of the solution method. More video content coming soon.-Extensive formula sheets accompany each chapter for quick access to all formulas from intro calculus, and all the necessary formulas from pre-calculus. Plus referenc e-Fun and easy-to-use scratch pad allows you to do calculations on the fly, without the need for pencil and paper.-Reference materials include: trigonometric identities, differentiation rules, limit laws, key theorem statements, derivatives of all common functions, and more.WHO THE APP IS FOR: – Students taking Calculus 1 or Calculus 2 in college- Students taking AP calculus in high school- Students studying for exams in different fields who need to review calculus- Anybody interested in learning calculusTOPICS COVERED:—Limits—Limits IntuitionLimit OperationsFactoring and LimitsRationalizing and LimitsThe Squeeze TheoremVertical AsymptotesHorizontal AsymptotesRelative MagnitudeOne-Sided Limits—Continuity—Continuity IntuitionLimit Definition of ContinuityExamples of Continuous FunctionsThe Composition TheoremThe Intermediate Value Theorem—Derivatives—Derivatives IntuitionLimit Definition of the DerivativeDerivative OperationsThe Power RuleThe Quotient RuleDifferentiating Trigonometric FunctionsThe Chain RuleDifferentiating Exponential and Logarithmic FunctionsLogarithmic DifferentiationImplicit DifferentiationTangent LinesRelated RatesLinear ApproximationHigher Order DerivativesMaxima and MinimaOptimizationThe Mean Value TheoremL’Hopital’s Rule—The Integral —AntiderivativesRiemann SumsSummation NotationDefinition of the IntegralFundamental Theorem of CalculusProperties of the IntegralIntegral Versus AreaThe Integral Function–Integration Techniques—Polynomial IntegrationExponential IntegrationTrig function integrationEven and odd functionsU-substitutionBounds and U-substitutionMultiple trig functionsIntegration by partsTrigonometric substitutionPartial fraction decompositionDiscontinuities and absolute valuesImproper integrals—Applications of Integration—Arc LengthDifferential Equations—Series—Convergence limit definitionTelescoping seriesGeometric seriesHarmonic seriesp-seriesDivergence testComparison testLimit comparison testRation testRoot testIntegral testAlternating series testAbsolute and conditional convergence—Taylor Series—Series with variablesTaylor series intuitionPartial Taylor seriesFull Taylor seriesShifted PolynomialsTaylor series operationsRadius of convergenceABOUT US: Knowvio apps are developed for students by students at the University of Chicago

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