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Calculus 2 Tutor

Over 29 Hours- 46 Topics

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**This video prepares a student to be successful in Calculus III, Physics and beyond. Topic covered include Rules of Integration, Arc Length, Limits of Trig Functions, Sequences and more. Each example is explained in a step by step fashion that allows the student to follow the logic. Once again, central to my vids I endeavor to teach the student how to think mathematically. This vid is an excellent complement to your lectures and can be used with any textbook that your instructor may be using for this course. I am passionate about mathematics as well as teaching and I hope that in all of my lectures you can see this. I hope to ignite some passion in the student too who is taking math at this level.**

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**Topics in Calc 2 Video**

**Basic Sigma NotationsUsing Sigma NotationArea using upper and lower rectanglesCalculating Area Using LimitsRules of IntegrationIntegration by SubstitutionTrapezoidal RuleSimpson Rule, n = evenArea of a Region Between Two CurvesThe Disc MethodShell MethodVolume of Solids With Known Cross Sectional AreaArc LengthExponential FunctionsDifferentiation & Integration of Exponential FunctionsInverse FunctionsLogarithmic FunctionsLaws of LogarithmsDifferentiation of Logarithmic FunctionsIntegration of Logarithmic FunctionsIndeterminate Form & L'Hopital's RuleLimits of Trig FunctionsDerivatives of Trig FunctionsIntegrals of Trig FunctionsTrig InversesDerivatives of Trig Inverse FunctionsIntegrals of Trig Inverse FunctionsHyperbolic FunctionsBasic Integration FormulasIntegration By PartsTrigonometric IntegralsTrigonometric SubstitutionPartial FractionsImproper IntegralsSequencesSeries and ConvergenceIntegral Test and P-seriesComparison TestsAlternating SeriesRemainder for Alternating SeriesAbsolute and Conditional ConvergenceRatio and Root TestTaylor and Maclaurin Polynomials and AppoximationsPower SeriesRepresentation of Functions by Power SeriesTaylor and Maclaurin Series**

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