Calculus Study Material
Calculus Video Tutorials, Online Lessons, Ebooks
Video Tutorials under Calculus
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(2^ln x)/x Antiderivative Example
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Another u-Subsitution Example
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AP Calculus BC Exams: 2008 1 A
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AP Calculus BC Exams: 2008 1 B
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AP Calculus BC Exams: 2008 1 C
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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 2 D
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Calculus Graphing with Derivatives Example
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Calculus: Derivative of x^(x^x)
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Calculus: Derivatives 1
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Calculus: Derivatives 2
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Calculus: Derivatives 3
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Calculus: Derivatives 4: The Chain Rule
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Calculus: Derivatives 5
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Calculus: Derivatives 6
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Calculus: Derivatives 7
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Calculus: Derivatives 8
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Calculus: Derivatives 9
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Calculus: Graphing Using Derivatives
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Calculus: Maximum and minimum values on an interval
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Closed Curve Line Integrals of Conservative Vector Fields
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Curl 1
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Curl 2
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Curl 3
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Definite Integral with Substitution
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Definite Integrals – Part 2
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Definite Integrals – Part 4
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Definite Integrals – Part 5
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Definite Integrals (Area Under a Curve) – Part 3
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Derivative of a Position Vector Valued Function
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Determining a Position Vector-Valued Function for a Parametrization of Two Parameters
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Differential of a vector valued function
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Divergence 1
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Divergence 2
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Divergence 3
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Double Integrals 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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Epsilon Delta Limit Definition 1
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Epsilon Delta Limit Definition 2
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Equation of a tangent line
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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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Example of Closed Line Integral of Conservative Field
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Exponential Growth
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Extreme Derivative Word Problem (Advanced)
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Gradient 1
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Green’s Theorem Example 1
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Green’s Theorem Example 2
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Green’s Theorem Proof – Part 1
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Green’s Theorem Proof – Part 2
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Implicit Differentiation – part 2
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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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Indefinite Integration – Part VI
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Indefinite Integration – Part VII
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Inflection Points and Concavity Intuition
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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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Introduction to Definite Integrals
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Introduction to Differential Equations
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Introduction to Limits
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Introduction to Parametrizing a Surface with Two Parameters
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Introduction to rate-of-change problems
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Introduction to the Surface Integral
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L’Hopital’s Rule – An Introduction
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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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Ladder rate-of-change problem
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Limit Examples – Part 1
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Limit Examples – Part 2
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Limit Examples – Part 3
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Limit Examples with Brain Malfunction on First Problem – Part 4
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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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Line Integrals & Vector Fields
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Maxima Minima Slope Intuition
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Mean Value Theorem
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Monotonicity Theorem
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More chain rule and implicit differentiation intuition
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More implicit differentiation
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More Limits
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Optimization Example 4
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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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Parametrization of a Reverse Path
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Partial Derivatives
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Partial Derivatives 2
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Partial Derivatives of Vector-Valued Functions
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Path Independence for Line Integrals
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Polynomial Approximation of Functions – Part 1
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Polynomial Approximation of Functions – Part 2
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Polynomial Approximation of Functions – Part 3
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Polynomial Approximation of Functions – Part 4
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Polynomial Approximation 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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Position Vector Valued Functions
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Proof: d/dx(e^x) = e^x
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Proof: d/dx(ln x) = 1/x
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Proof: d/dx(sqrt(x))
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Proof: d/dx(x^n)
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Proof: lim (sin x)/x
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Proofs of Derivatives of Ln(x) and e^x
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Rates-of-change – part 2
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Scalar Field Line Integral Independent of Path Direction
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Second Example of Line Integral of Conservative Vector Field
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Sequences & Series – Part 2
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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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Squeeze Theorem
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Taylor Polynomials
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The Indefinite Integral or Anti-derivative
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Trig Implicit Differentiation Example
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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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Using a Line Integral to find the Work Done by a Vector Field Example
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Vector Field Line Integrals Dependent on Path Direction
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Vector Valued Function Derivative Example