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Khan Academy´s YouTube Playlist of great Calculus videos

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Calculus Education Math High School

Calculus - Khan Academy

1

Newton Leibniz and Usain Bolt

math_man | 05/13/15
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1

Introduction to Limits (HD)

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Introduction to Limits

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Limit Examples (part 1)

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Limit Examples (part 2)

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Limit Examples (part3)

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Limit Examples w/ brain malfunction on first prob ...

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1

Squeeze Theorem

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1

Proof: lim (sin x)/x

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1

More Limits

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1

Epsilon Delta Limit Definition 1

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Epsilon Delta Limit Definition 2

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1

Calculus: Derivatives 1 (new HD version)

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Calculus: Derivatives 2 (new HD version)

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Calculus: Derivatives 2.5 (new HD version)...

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Derivative Intuition Module

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1

Calculus: Derivatives 1

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Calculus: Derivatives 2

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Calculus: Derivatives 3

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1

The Chain Rule

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Chain Rule Examples

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Even More Chain Rule

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1

Product Rule

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Quotient Rule

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1

Derivatives (part 9)

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1

Proof: d/dx(x^n)

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Proof: d/dx(sqrt(x))

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Proof: d/dx(ln x) = 1/x

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Proof: d/dx(e^x) = e^x

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Proofs of Derivatives of Ln(x) and e^x

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Extreme Derivative Word Problem (advanced)...

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1

Implicit Differentiation

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Implicit Differentiation (part 2)

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More implicit differentiation

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More chain rule and implicit differentiation intui...

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1

Trig Implicit Differentiation Example

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1

Calculus: Derivative of x^(x^x)

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1

Introduction to L'Hopital's Rule

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L'Hopital's Rule Example 1

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L'Hopital's Rule Example 2

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L'Hopital's Rule Example 3

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1

Maxima Minima Slope Intuition

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Inflection Points and Concavity Intuition...

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Monotonicity Theorem

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1

Calculus: Maximum and minimum values on an interva...

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1

Calculus: Graphing Using Derivatives

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Calculus Graphing with Derivatives Example...

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Graphing with Calculus

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Optimization with Calculus 1

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Optimization with Calculus 2

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Optimization with Calculus 3

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Optimization Example 4

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Introduction to rate-of-change problems

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Equation of a tangent line

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Rates-of-change (part 2)

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Ladder rate-of-change problem

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Mean Value Theorem

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The Indefinite Integral or Anti-derivative...

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Indefinite integrals (part II)

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Indefinite Integration (part III)

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Indefinite Integration (part IV)

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Indefinite Integration (part V)

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Integration by Parts (part 6 of Indefinite Integra...

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Indefinite Integration (part 7)

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Another u-subsitution example

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Introduction to definite integrals

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Definite integrals (part II)

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Definite Integrals (area under a curve) (part III)...

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Definite Integrals (part 4)

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Definite Integrals (part 5)

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Definite integral with substitution

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Integrals: Trig Substitution 1

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Integrals: Trig Substitution 2

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Integrals: Trig Substitution 3 (long problem)...

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Periodic Definite Integral

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Simple Differential Equations

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Solid of Revolution (part 1)

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Solid of Revolution (part 2)

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Solid of Revolution (part 3)

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Solid of Revolution (part 4)

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Solid of Revolution (part 5)

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Solid of Revolution (part 6)

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Solid of Revolution (part 7)

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Solid of Revolution (part 8)

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Sequences and Series (part 1)

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Sequences and series (part 2)

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Maclauren and Taylor Series Intuition

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Cosine Taylor Series at 0 (Maclaurin)

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Sine Taylor Series at 0 (Maclaurin)

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Taylor Series at 0 (Maclaurin) for e to the x...

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Euler's Formula and Euler's Identity

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Visualizing Taylor Series Approximations

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Generalized Taylor Series Approximation

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Visualizing Taylor Series for e^x

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Polynomial approximation of functions (part 1)...

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Polynomial approximation of functions (part 2)...

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Approximating functions with polynomials (part 3)...

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Polynomial approximation of functions (part 4)...

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Polynomial approximations of functions (part 5)...

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Polynomial approximation of functions (part 6)...

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Polynomial approximation of functions (part 7)...

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Taylor Polynomials

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Exponential Growth

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AP Calculus BC Exams: 2008 1 a

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AP Calculus BC Exams: 2008 1 b&c

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AP Calculus BC Exams: 2008 1 c&d

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AP Calculus BC Exams: 2008 1 d

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Calculus BC 2008 2 a

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Calculus BC 2008 2 b &c

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Calculus BC 2008 2d

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Partial Derivatives

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Partial Derivatives 2

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Gradient 1

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Gradient of a scalar field

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Divergence 1

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Divergence 2

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Divergence 3

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Curl 1

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Curl 2

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Curl 3

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Double Integral 1

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Double Integrals 2

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Double Integrals 3

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Double Integrals 4

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Double Integrals 5

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Double Integrals 6

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Triple Integrals 1

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Triple Integrals 2

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Triple Integrals 3

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(2^ln x)/x Antiderivative Example

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Introduction to the Line Integral

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Line Integral Example 1

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Line Integral Example 2 (part 1)

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Line Integral Example 2 (part 2)

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Position Vector Valued Functions

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Derivative of a position vector valued function...

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Differential of a vector valued function

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Vector valued function derivative example...

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Line Integrals and Vector Fields

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Using a line integral to find the work done by a v...

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Parametrization of a Reverse Path

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Scalar Field Line Integral Independent of Path Dir...

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Vector Field Line Integrals Dependent on Path Dire...

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Path Independence for Line Integrals

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Closed Curve Line Integrals of Conservative Vector...

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Example of Closed Line Integral of Conservative Fi...

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Second Example of Line Integral of Conservative Ve...

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Green's Theorem Proof Part 1

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Green's Theorem Proof (part 2)

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Green's Theorem Example 1

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Green's Theorem Example 2

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Introduction to Parametrizing a Surface with Two P...

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Determining a Position Vector-Valued Function for ...

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Partial Derivatives of Vector-Valued Functions...

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Introduction to the Surface Integral

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Example of calculating a surface integral part 1...

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Example of calculating a surface integral part 2...

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Example of calculating a surface integral part 3...

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2011 Calculus AB Free Response #1a

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2011 Calculus AB Free Response #1 parts b c d...

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2011 Calculus AB Free Response #2 (a & b)...

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