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Calculus VideosCalculusTopics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)Introduction to Limits (HD)Introduction to LimitsLimit Examples (part 1)Limit Examples (part 2)Limit Examples (part3)Limit Examples w/ brain malfunction on first prob (part 4)Squeeze TheoremProof: lim (sin x)/xMore LimitsEpsilon Delta Limit Definition 1Epsilon Delta Limit Definition 2Calculus: Derivatives 1 (new HD version)Calculus: Derivatives 2 (new HD version)Calculus: Derivatives 2.5 (new HD version)Derivative Intuition ModuleCalculus: Derivatives 1Calculus: Derivatives 2Calculus: Derivatives 3The Chain RuleChain Rule ExamplesEven More Chain RuleProduct RuleQuotient RuleDerivatives (part 9)Proof: d/dx(x^n)Proof: d/dx(sqrt(x))Proof: d/dx(ln x) = 1/xProof: d/dx(e^x) = e^xProofs of Derivatives of Ln(x) and e^xExtreme Derivative Word Problem (advanced)Implicit DifferentiationImplicit Differentiation (part 2)More implicit differentiationMore chain rule and implicit differentiation intuitionTrig Implicit Differentiation ExampleCalculus: Derivative of x^(x^x)Introduction to L'Hopital's RuleL'Hopital's Rule Example 1L'Hopital's Rule Example 2L'Hopital's Rule Example 3Maxima Minima Slope IntuitionInflection Points and Concavity IntuitionMonotonicity TheoremCalculus: Maximum and minimum values on an intervalCalculus: Graphing Using DerivativesCalculus Graphing with Derivatives ExampleGraphing with CalculusOptimization with Calculus 1Optimization with Calculus 2Optimization with Calculus 3Optimization Example 4Introduction to rate-of-change problemsEquation of a tangent lineRates-of-change (part 2)Ladder rate-of-change problemMean Value TheoremThe Indefinite Integral or Anti-derivativeIndefinite integrals (part II)Indefinite Integration (part III)Indefinite Integration (part IV)Indefinite Integration (part V)Integration by Parts (part 6 of Indefinite Integration)Indefinite Integration (part 7)Another u-subsitution exampleIntroduction to definite integralsDefinite integrals (part II)Definite Integrals (area under a curve) (part III)Definite Integrals (part 4)Definite Integrals (part 5)Definite integral with substitutionIntegrals: Trig Substitution 1Integrals: Trig Substitution 2Integrals: Trig Substitution 3 (long problem)Periodic Definite IntegralSimple Differential EquationsSolid of Revolution (part 1)Solid of Revolution (part 2)Solid of Revolution (part 3)Solid of Revolution (part 4)Solid of Revolution (part 5)Solid of Revolution (part 6)Solid of Revolution (part 7)Solid of Revolution (part 8)Sequences and Series (part 1)Sequences and series (part 2)Maclauren and Taylor Series IntuitionCosine Taylor Series at 0 (Maclaurin)Sine Taylor Series at 0 (Maclaurin)Taylor Series at 0 (Maclaurin) for e to the xEuler's Formula and Euler's IdentityVisualizing Taylor Series ApproximationsGeneralized Taylor Series ApproximationVisualizing Taylor Series for e^xPolynomial approximation of functions (part 1)Polynomial approximation of functions (part 2)Approximating functions with polynomials (part 3)Polynomial approximation of functions (part 4)Polynomial approximations of functions (part 5)Polynomial approximation of functions (part 6)Polynomial approximation of functions (part 7)Taylor PolynomialsExponential GrowthAP Calculus BC Exams: 2008 1 aAP Calculus BC Exams: 2008 1 b&cAP Calculus BC Exams: 2008 1 c&dAP Calculus BC Exams: 2008 1 dCalculus BC 2008 2 aCalculus BC 2008 2 b &cCalculus BC 2008 2dPartial DerivativesPartial Derivatives 2Gradient 1Gradient of a scalar fieldDivergence 1Divergence 2Divergence 3Curl 1Curl 2Curl 3Double Integral 1Double Integrals 2Double Integrals 3Double Integrals 4Double Integrals 5Double Integrals 6Triple Integrals 1Triple Integrals 2Triple Integrals 3(2^ln x)/x Antiderivative ExampleIntroduction to the Line IntegralLine Integral Example 1Line Integral Example 2 (part 1)Line Integral Example 2 (part 2)Position Vector Valued FunctionsDerivative of a position vector valued functionDifferential of a vector valued functionVector valued function derivative exampleLine Integrals and Vector FieldsUsing a line integral to find the work done by a vector field exampleParametrization of a Reverse PathScalar Field Line Integral Independent of Path DirectionVector Field Line Integrals Dependent on Path DirectionPath Independence for Line IntegralsClosed Curve Line Integrals of Conservative Vector FieldsExample of Closed Line Integral of Conservative FieldSecond Example of Line Integral of Conservative Vector FieldGreen's Theorem Proof Part 1Green's Theorem Proof (part 2)Green's Theorem Example 1Green's Theorem Example 2Introduction to Parametrizing a Surface with Two ParametersDetermining a Position Vector-Valued Function for a Parametrization of Two ParametersPartial Derivatives of Vector-Valued FunctionsIntroduction to the Surface IntegralExample of calculating a surface integral part 1Example of calculating a surface integral part 2Example of calculating a surface integral part 32011 Calculus AB Free Response #1a2011 Calculus AB Free Response #1 parts b c d2011 Calculus AB Free Response #2 (a & b)2011 Calculus AB Free Response #2 (c & d)2011 Calculus AB Free Response #3 (a & b)2011 Calculus AB Free Response #3 (c)2011 Calculus AB Free Response #4a2011 Calculus AB Free Response #4b2011 Calculus AB Free Response #4c2011 Calculus AB Free Response #4d2011 Calculus AB Free Response #5a2011 Calculus AB Free Response #5b2011 Calculus AB Free Response #5c.2011 Calculus AB Free Response #6a2011 Calculus AB Free Response #6b2011 Calculus AB Free Response #6c2011 Calculus BC Free Response #1a2011 Calculus BC Free Response #1 (b & c)2011 Calculus BC Free Response #1d2011 Calculus BC Free Response #3a2011 Calculus BC Free Response #3 (b & c)2011 Calculus BC Free Response #6a2011 Calculus BC Free Response #6b2011 Calculus BC Free Response #6cError or Remainder of a Taylor Polynomial ApproximationProof: Bounding the Error or Remainder of a Taylor Polynomial Approximation2011 Calculus BC Free Response #6d ................
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