Calculus I Video Library Click each drop down to find full length lessons on topics in a traditional Calculus I class. Limits and Continuity Limits: An IntroductionInfinite Limits and Vertical AsymptotesContinuity and IVTLimits at Infinity and Horizontal AsymptotesAlgebraic Limits and more Derivatives: Intro and Rules Definition of Derivative at x=aDerivative as a FunctionPower Rule and moreProduct and Quotient Rule & moreChain RuleImplicit Differentiation Derivatives: Applications Rates of ChangeRelated RatesLinear Approximations and DifferentialsLHopital's RuleMean Value Theorem and Rolle's Theorem Derivatives: Analytical/Graphical Extreme ValuesAnalyzing f' and f'' (increasing/decreasing/concavity)Analyzing Critical ValuesOptimizationSketching the Graph of f(x) Integrals AntiderivativesIntro to Differential EquationsRectangular ApproximationMethod, Integral as Riemann SumDefinite Integral (Graphical Interpretation)Fundamental Theorem of Calculusu-substitutionIntegrals involving transcendental functionsNet ChangeIntegration by parts