Course: Calculus Dnatube

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Lec 1 - Newton Leibniz and Usain Bolt

Newton Leibniz and Usain Bolt Why we study differential calculus
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Lec 2 - Introduction to Limits (HD)

This is a lecture of Khan Academy. Lecture name is introduction to limits. It is recorded high definition.
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Lec 3 - Introduction to Limits

This is a lecture of Khan Academy. Introduction to the intuition behind limits
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Lec 4 - Limit Examples (part 1)

This is a lecture of Khan Academy. Some limit exercises
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Lec 5 - Limit Examples (part 2)

Limit Examples (part 2)q More limit examples
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Lec 6 - Limit Examples (part3)

This is a lecture of Khan Academy. More examples related with limits is solved in this lecture.
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Lec 7 - Limit Examples w/ brain malfunct ...

This is a lecture of Khan Academy. 3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))
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Lec 8 - Squeeze Theorem

This lecture is provided by Khan Academy. Intuition (but not a proof) of the Squeeze Theorem.
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Lec 9 - Proof: lim (sin x)/x

This lecture is provided by Khan Academy. Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1
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Lec 10 - More Limits

This is a lecture of Khan Academy. More limit examples
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Lec 11 - Epsilon Delta Limit Definition 1

Epsilon Delta Limit Definition 1 Introduction to the Epsilon Delta Definition of a Limit.
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Lec 12 - Epsilon Delta Limit Definition 2

Epsilon Delta Limit Definition 2 Using the epsilon delta definition to prove a limit
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Lec 13 - Calculus: Derivatives 1 (new HD ...

Calculus: Derivatives 1 (new HD version) Calculus-Derivative: Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line)
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Lec 14 - Calculus: Derivatives 2 (new HD ...

Calculus: Derivatives 2 (new HD version) Calculus-Derivative: Finding the slope (or derivative) of a curve at a particular point.
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Lec 15 - Calculus: Derivatives 2.5 (new ...

Calculus: Derivatives 2.5 (new HD version) Calculus-Derivative: Finding the derivative of y=x^2
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Lec 16 - Derivative Intuition Module

Derivative Intuition Module Sal walking through the derivative intuition module made by Ben Eater
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Lec 17 - Calculus: Derivatives 1

Calculus: Derivatives 1 Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus.
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Lec 18 - Calculus: Derivatives 2

Calculus: Derivatives 2 More intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2
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Lec 19 - Calculus: Derivatives 3

Calculus: Derivatives 3 Determining the derivatives of simple polynomials.
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Lec 20 - The Chain Rule

The Chain Rule Part 4 of derivatives. Introduction to the chain rule.
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Lec 21 - Chain Rule Examples

Chain Rule Examples Examples using the Chain Rule
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Lec 22 - Even More Chain Rule

Even More Chain Rule Even more examples using the chain rule.
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Lec 23 - Product Rule

Product Rule The product rule. Examples using the Product and Chain rules.
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Lec 24 - Quotient Rule

Quotient Rule Why the quotient rule is the same thing as the product rule. Introduction to the derivative of e^x, ln x, sin x, cos x, and tan x
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Lec 25 - Derivatives (part 9)

Derivatives (part 9) More examples of taking derivatives
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Lec 26 - Proof: d/dx(x^n)

Proof: d/dx(x^n) Proof that d/dx(x^n) = n*x^(n-1)
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Lec 27 - Proof: d/dx(sqrt(x))

Proof: d/dx(sqrt(x)) Proof that d/dx (x^.5) = .5x^(-.5)
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Lec 28 - Proof: d/dx(ln x) = 1/x

Proof: d/dx(ln x) = 1/x Taking the derivative of ln x
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Lec 29 - Proof: d/dx(e^x) = e^x

Proof: d/dx(e^x) = e^x Proof that the derivative of e^x is e^x.
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Lec 30 - Proofs of Derivatives of Ln(x) ...

Proofs of Derivatives of Ln(x) and e^x Doing both proofs in the same video to clarify any misconceptions that the original proof was "circular".
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Lec 31 - Extreme Derivative Word Problem ...

Extreme Derivative Word Problem (advanced) A difficult but interesting derivative word problem
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Lec 32 - Implicit Differentiation

Implicit Differentiation Taking the derivative when y is defined implicitly.
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Lec 33 - Implicit Differentiation (part 2)

Implicit Differentiation (part 2) A hairier implicit differentiation problem.
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Lec 34 - More implicit differentiation

More implicit differentiation 2 more implicit differentiation examples
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Lec 35 - More chain rule and implicit di ...

More chain rule and implicit differentiation intuition More intuition behind the chain rule and how it applies to implicit differentiation.
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Lec 36 - Trig Implicit Differentiation E ...

Implicit differentiation example that involves the tangent function
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Lec 37 - Calculus: Derivative of x^(x^x)

Calculus: Derivative of x^(x^x) Calculus: Derivative of x^(x^x)
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Lec 38 - Introduction to L'Hopital's Rule

Introduction to L'Hopital's Rule Introduction to L'Hopital's Rule
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Lec 39 - L'Hopital's Rule Example 1

L'Hopital's Rule Example 1 L'Hopital's Rule Example 1
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Lec 40 - L'Hopital's Rule Example 2

L'Hopital's Rule Example 2 L'Hopital's Rule Example 2
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Lec 41 - L'Hopital's Rule Example 3

L'Hopital's Rule Example 3 L'Hopital's Rule Example 3
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Lec 42 - Maxima Minima Slope Intuition

Maxima Minima Slope Intuition Intuition on what happens to the slope/derivative and second derivatives at local maxima and minima.
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Lec 43 - Inflection Points and Concavity ...

Inflection Points and Concavity Intuition Understanding concave upwards and downwards portions of graphs and the relation to the derivative. Inflection point intuition
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Lec 44 - Monotonicity Theorem

Monotonicity Theorem Using the monotonicity theorem to determine when a function is increasing or decreasing.
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Lec 45 - Calculus: Maximum and minimum v ...

Calculus: Maximum and minimum values on an interval 2 examples of finding the maximum and minimum points on an interval.
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Lec 46 - Calculus: Graphing Using Deriva ...

Calculus: Graphing Using Derivatives Graphing functions using derivatives.
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Lec 47 - Calculus Graphing with Derivati ...

Calculus Graphing with Derivatives Example Using the first and second derivatives to identify critical points and inflection points and to graph the function.
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Lec 48 - Graphing with Calculus

Graphing with Calculus More graphing with calculus.
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Lec 49 - Optimization with Calculus 1

Optimization with Calculus 1 Find two numbers whose products is -16 and the sum of whose squares is a minimum.
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Lec 50 - Optimization with Calculus 2

Optimization with Calculus 2 Find the volume of the largest open box that can be made from a piece of cardboard 24 inches square by cutting equal squares from the corners and turning up the sides.
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Lec 51 - Optimization with Calculus 3

Optimization with Calculus 3 A wire of length 100 centimeters is cut into two pieces; one is bent to form a square, and the other is bent to form an equilateral triangle. Where should the cut be made if (a) the sum of the two areas is to be a minimum; (b) a maximum? (Allow the possibility of no cut.)
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Lec 52 - Optimization Example 4

Optimization Example 4 Minimizing the cost of material for an open rectangular box.
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Lec 53 - Introduction to rate-of-change ...

Introduction to rate-of-change problems Using derivatives to solve rate-of-change problems
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Lec 54 - Equation of a tangent line

Equation of a tangent line Finding the equation of the line tangent to f(x)=xe^x when x=1
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Lec 55 - Rates-of-change (part 2)

Rates-of-change (part 2) Another (simpler) example of using the chain rule to determine rates-of-change
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Lec 56 - Ladder rate-of-change problem

Ladder rate-of-change problem The classic falling ladder problem
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Lec 57 - Mean Value Theorem

Mean Value Theorem Intuition behind the Mean Value Theorem
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Lec 58 - The Indefinite Integral or Anti ...

The Indefinite Integral or Anti-derivative An introduction to indefinite integration of polynomials.
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Lec 59 - Indefinite integrals (part II)

Indefinite integrals (part II) Examples of taking the indefinite integral (or anti-derivative) of polynomials.
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Lec 60 - Indefinite Integration (part III)

Indefinite Integration (part III) Integration by doing the chain rule in reverse.
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Lec 61 - Indefinite Integration (part IV)

Indefinite Integration (part IV) Integration by substitution (or the reverse-chain-rule)
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Lec 62 - Indefinite Integration (part V)

Indefinite Integration (part V) Introduction to Integration by Parts (kind of the reverse-product rule)
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Lec 63 - Integration by Parts (part 6 of ...

Integration by Parts (part 6 of Indefinite Integration) Example using Integration by Parts
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Lec 64 - Indefinite Integration (part 7)

Indefinite Integration (part 7) Another example using integration by parts.
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Lec 65 - Another u-subsitution example

Another u-subsitution example Finding the antiderivative using u-substitution.
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Lec 66 - Introduction to definite integrals

Introduction to definite integrals Using the definite integral to solve for the area under a curve. Intuition on why the antiderivative is the same thing as the area under a curve.
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Lec 67 - Definite integrals (part II)

Definite integrals (part II) More on why the antiderivative and the area under a curve are essentially the same thing.
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Lec 68 - Definite Integrals (area under ...

Definite Integrals (area under a curve) (part III) More on why the antiderivative and the area under a curve are essentially the same thing.
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Lec 69 - Definite Integrals (part 4)

Definite Integrals (part 4) Examples of using definite integrals to find the area under a curve
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Lec 70 - Definite Integrals (part 5)

Definite Integrals (part 5) More examples of using definite integrals to calculate the area between curves
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Lec 71 - Definite integral with substitution

Definite integral with substitution Solving a definite integral with substitution (or the reverse chain rule)
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Lec 72 - Integrals: Trig Substitution 1

Integrals: Trig Substitution 1 Example of using trig substitution to solve an indefinite integral
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Lec 73 - Integrals: Trig Substitution 2

Integrals: Trig Substitution 2 Another example of finding an anti-derivative using trigonometric substitution
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Lec 74 - Integrals: Trig Substitution 3 ...

Integrals: Trig Substitution 3 (long problem) Example using trig substitution (and trig identities) to solve an integral.
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Lec 75 - Periodic Definite Integral

Periodic Definite Integral 2010 IIT JEE Paper 1 Problem 52 Periodic Definite Integral. The second term at about minute 14 should have a positive sign. Luckily, it doesn't effect the final answer!
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Lec 76 - Simple Differential Equations

Simple Differential Equations 3 basic differential equations that can be solved by taking the antiderivatives of both sides.
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Lec 77 - Solid of Revolution (part 1)

Solid of Revolution (part 1) Figuring out the volume of a function rotated about the x-axis.
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Lec 78 - Solid of Revolution (part 2)

Solid of Revolution (part 2) The volume of y=sqrt(x) between x=0 and x=1 rotated around x-axis
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Lec 79 - Solid of Revolution (part 3)

Solid of Revolution (part 3) Figuring out the equation for the volume of a sphere.
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Lec 80 - Solid of Revolution (part 4)

Solid of Revolution (part 4) More volumes around the x-axis.
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Lec 81 - Solid of Revolution (part 5)

Solid of Revolution (part 5) Use the "shell method" to rotate about the y-axis
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Lec 82 - Solid of Revolution (part 6)

Solid of Revolution (part 6) Using the disk method around the y-axis.
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Lec 83 - Solid of Revolution (part 7)

Solid of Revolution (part 7) Taking the revolution around something other than one of the axes.
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Lec 84 - Solid of Revolution (part 8)

Solid of Revolution (part 8) The last part of the problem in part 7
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Lec 85 - Sequences and Series (part 1)

This lecture is provided by Khan Academy. Introduction to the arithmetic and geometric series
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Lec 86 - Sequences and series (part 2)

This lecture is provided by Khan Academy. Finding the sum of an infinite geometric series.
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Lec 87 - Maclauren and Taylor Series Int ...

Maclauren and Taylor Series Intuition Approximating a function at 0 using a polynomial
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Lec 88 - Cosine Taylor Series at 0 (Macl ...

Cosine Taylor Series at 0 (Maclaurin) Approximating f(x)=cos x using a Maclauren Series (special case of a Taylor series at x=0)
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Lec 89 - Sine Taylor Series at 0 (Maclaurin)

Sine Taylor Series at 0 (Maclaurin) Sine Taylor Series at 0 (Maclaurin)
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Lec 90 - Taylor Series at 0 (Maclaurin) ...

Taylor Series at 0 (Maclaurin) for e to the x Taylor Series at 0 (Maclaurin) for e to the x
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Lec 91 - Euler's Formula and Euler's Ide ...

Euler's Formula and Euler's Identity Rationale for Euler's Formula and Euler's Identity
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Lec 92 - Visualizing Taylor Series Appro ...

Visualizing Taylor Series Approximations Using Wolfram Alpha to approximate sin(x)
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Lec 93 - Generalized Taylor Series Appro ...

Generalized Taylor Series Approximation Approximating a function around a non-zero x value
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Lec 94 - Visualizing Taylor Series for e^x

Visualizing Taylor Series for e^x Visualizing Taylor Series for e^x
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Lec 95 - Polynomial approximation of fun ...

Polynomial approximation of functions (part 1) Using a polynomial to approximate a function at f(0).
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Lec 96 - Polynomial approximation of fun ...

Polynomial approximation of functions (part 2) Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series)
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Lec 97 - Approximating functions with po ...

Approximating functions with polynomials (part 3) A glimpse of the mystery of the Universe as we approximate e^x with an infinite series.
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Lec 98 - Polynomial approximation of fun ...

Polynomial approximation of functions (part 4) Approximating cos x with a Maclaurin series.
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Lec 99 - Polynomial approximations of fu ...

Polynomial approximations of functions (part 5) MacLaurin representation of sin x
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Lec 100 - Polynomial approximation of fu ...

Polynomial approximation of functions (part 6) A pattern emerges!
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Lec 101 - Polynomial approximation of f ...

Polynomial approximation of functions (part 7) The most amazing conclusion in mathematics!
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Lec 102 - Taylor Polynomials

Taylor Polynomials Approximating a function with a Taylor Polynomial
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Lec 103 - Exponential Growth

This is a lecture of Khan Academy. Exponential growth involving bacteria (some calculus in part c).
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Lec 104 - AP Calculus BC Exams: 2008 1 a

AP Calculus BC Exams: 2008 1 a Part 1a of the 2008 BC free response
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Lec 105 - AP Calculus BC Exams: 2008 1 b&c

AP Calculus BC Exams: 2008 1 b&c Parts b and c of problem 1 (free response)
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Lec 106 - AP Calculus BC Exams: 2008 1 c&d

AP Calculus BC Exams: 2008 1 c&d parts c&d of problem 1 in the 2008 AP Calculus BC free response
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Lec 107 - AP Calculus BC Exams: 2008 1 d

AP Calculus BC Exams: 2008 1 d Part 1d of the 2008 AP Calculus BC exam (free response)
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Lec 108 - Calculus BC 2008 2 a

Calculus BC 2008 2 a 2a of 2008 Calculus BC exam (free response)
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Lec 109 - Calculus BC 2008 2 b &c

Calculus BC 2008 2 b &c Parts 2b and 2c of the 2008 BC exam (free response)
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Lec 110 - Calculus BC 2008 2d

Calculus BC 2008 2d Part 2d of the 2008 Calculus BC exam free-response section
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Lec 111 - Partial Derivatives

Partial Derivatives Introduction to partial derivatives.
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Lec 112 - Partial Derivatives 2

Partial Derivatives 2 More on partial derivatives
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Lec 113 - Gradient 1

Gradient 1 Introduction to the gradient
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Lec 114 - Gradient of a scalar field

Gradient of a scalar field Intuition of the gradient of a scalar field (temperature in a room) in 3 dimensions.
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Lec 115 - Divergence 1

Divergence 1 Introduction to the divergence of a vector field.
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Lec 116 - Divergence 2

Divergence 2 The intuition of what the divergence of a vector field is.
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Lec 117 - Divergence 3

Divergence 3 Analyzing a vector field using its divergence.
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Lec 118 - Curl 1

Curl 1 Introduction to the curl of a vector field
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Lec 119 - Curl 2

Curl 2 The mechanics of calculating curl.
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Lec 120 - Curl 3

Curl 3 More on curl
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Lec 121 - Double Integral 1

Double Integral 1 Introduction to the double integral
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Lec 122 - Double Integrals 2

Double Integrals 2 Figuring out the volume under z=xy^2
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Lec 123 - Double Integrals 3

Double Integrals 3 Let's integrate dy first!
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Lec 124 - Double Integrals 4

Double Integrals 4 Another way to conceptualize the double integral.
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Lec 125 - Double Integrals 5

Double Integrals 5 Finding the volume when we have variable boundaries.
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Lec 126 - Double Integrals 6

Double Integrals 6 Let's evaluate the double integrals with y=x^2 as one of the boundaries.
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Lec 127 - Triple Integrals 1

Triple Integrals 1 Introduction to the triple integral
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Lec 128 - Triple Integrals 2

Triple Integrals 2 Using a triple integral to find the mass of a volume of variable density.
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Lec 129 - Triple Integrals 3

Triple Integrals 3 Figuring out the boundaries of integration.
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Lec 130 - (2^ln x)/x Antiderivative Example

(2^ln x)/x Antiderivative Example Finding ∫(2^ln x)/x dx
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Lec 131 - Introduction to the Line Integral

Introduction to the Line Integral Introduction to the Line Integral
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Lec 132 - Line Integral Example 1

Line Integral Example 1 Concrete example using a line integral
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Lec 133 - Line Integral Example 2 (part 1)

Line Integral Example 2 (part 1) Line integral over a closed path (part 1)
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Lec 134 - Line Integral Example 2 (part 2)

Line Integral Example 2 (part 2) Part 2 of an example of taking a line integral over a closed path
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Lec 135 - Position Vector Valued Functions

Position Vector Valued Functions Using a position vector valued function to describe a curve or path
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Lec 136 - Derivative of a position vecto ...

Derivative of a position vector valued function Visualizing the derivative of a position vector valued function
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Lec 137 - Differential of a vector value ...

Differential of a vector valued function Understanding the differential of a vector valued function
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Lec 138 - Vector valued function derivat ...

Vector valued function derivative example Concrete example of the derivative of a vector valued function to better understand what it means
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Lec 139 - Line Integrals and Vector Fields

Line Integrals and Vector Fields Using line integrals to find the work done on a particle moving through a vector field
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Lec 140 - Using a line integral to find ...

Using a line integral to find the work done by a vector field example Using a line integral to find the work done by a vector field example
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Lec 141 - Parametrization of a Reverse Path

Parametrization of a Reverse Path Understanding how to parametrize a reverse path for the same curve.
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Lec 142 - Scalar Field Line Integral Ind ...

Scalar Field Line Integral Independent of Path Direction Showing that the line integral of a scalar field is independent of path direction
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Lec 143 - Vector Field Line Integrals De ...

Vector Field Line Integrals Dependent on Path Direction Showing that, unlike line integrals of scalar fields, line integrals over vector fields are path direction dependent
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Lec 144 - Path Independence for Line Int ...

Path Independence for Line Integrals Showing that if a vector field is the gradient of a scalar field, then its line integral is path independent
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Lec 145 - Closed Curve Line Integrals of ...

Closed Curve Line Integrals of Conservative Vector Fields Showing that the line integral along closed curves of conservative vector fields is zero
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Lec 146 - Example of Closed Line Integra ...

Example of Closed Line Integral of Conservative Field Example of taking a closed line integral of a conservative field
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Lec 147 - Second Example of Line Integra ...

Second Example of Line Integral of Conservative Vector Field Using path independence of a conservative vector field to solve a line integral
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Lec 148 - Green's Theorem Proof Part 1

Green's Theorem Proof Part 1 Part 1 of the proof of Green's Theorem
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Lec 149 - Green's Theorem Proof (part 2)

Green's Theorem Proof (part 2) Part 2 of the proof of Green's Theorem
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Lec 150 - Green's Theorem Example 1

Green's Theorem Example 1 Using Green's Theorem to solve a line integral of a vector field
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Lec 151 - Green's Theorem Example 2

Green's Theorem Example 2 Another example applying Green's Theorem
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Lec 152 - Introduction to Parametrizing ...

Introduction to Parametrizing a Surface with Two Parameters Introduction to Parametrizing a Surface with Two Parameters
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Lec 153 - Determining a Position Vector- ...

Determining a Position Vector-Valued Function for a Parametrization of Two Parameters Determining a Position Vector-Valued Function for a Parametrization of Two Parameters
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Lec 154 - Partial Derivatives of Vector- ...

Partial Derivatives of Vector-Valued Functions Partial Derivatives of Vector-Valued Functions
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Lec 155 - Introduction to the Surface In ...

Introduction to the Surface Integral Introduction to the surface integral
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Lec 156 - Example of calculating a surfa ...

Example of calculating a surface integral part 1 Example of calculating a surface integral part 1
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Lec 157 - Example of calculating a surfa ...

Example of calculating a surface integral part 2 Example of calculating a surface integral part 2
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Lec 158 - Example of calculating a surfa ...

Example of calculating a surface integral part 3 Example of calculating a surface integral part 3
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Lec 159 - 2011 Calculus AB Free Response #1a

2011 Calculus AB Free Response #1a Determining whether speed is increasing. Difference between speed and acceleration
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Lec 160 - 2011 Calculus AB Free Response ...

2011 Calculus AB Free Response #1 parts b c d Integration to find average value of a function. Using a graphing calculator to calculate definite integrals.
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Lec 161 - 2011 Calculus AB Free Response ...

2011 Calculus AB Free Response #2 (a & b) Approximating rate of change and total area under a curve. Trapezoidal sums to approximate integrals
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Lec 162 - 2011 Calculus AB Free Response ...

2011 Calculus AB Free Response #2 (c & d) Second fundamental theorem of calculus application
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Lec 163 - 2011 Calculus AB Free Response ...

2011 Calculus AB Free Response #3 (a & b) Equation of a tangent line and area between curves
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Lec 164 - 2011 Calculus AB Free Response ...

2011 Calculus AB Free Response #3 (c) Disk method to find the volume of a solid generated by rotation of a function
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Lec 165 - 2011 Calculus AB Free Response #4a

2011 Calculus AB Free Response #4a Taking derivatives and integrals of strangely defined functions
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Lec 166 - 2011 Calculus AB Free Response #4b

2011 Calculus AB Free Response #4b Absolute maximum over an interval. Critical points and differentiability.
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Lec 167 - 2011 Calculus AB Free Response #4c

2011 Calculus AB Free Response #4c Finding the points of inflection for a strangely defined function
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Lec 168 - 2011 Calculus AB Free Response #4d

2011 Calculus AB Free Response #4d Mean Value Theorem and differentiability
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Lec 169 - 2011 Calculus AB Free Response #5a

2011 Calculus AB Free Response #5a Using a tangent line to extrapolate a function from a known initial condition
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Lec 170 - 2011 Calculus AB Free Response #5b

2011 Calculus AB Free Response #5b Using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate
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Lec 171 - 2011 Calculus AB Free Response ...

2011 Calculus AB Free Response #5c. Solving a differential equation using separation of variables
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Lec 172 - 2011 Calculus AB Free Response #6a

2011 Calculus AB Free Response #6a Continuity of piecewise-defined functions
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Lec 173 - 2011 Calculus AB Free Response #6b

2011 Calculus AB Free Response #6b Derivative of a piecewise-defined function
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Lec 174 - 2011 Calculus AB Free Response #6c

2011 Calculus AB Free Response #6c Average value of a piecewise-defined function on an interval
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Lec 175 - 2011 Calculus BC Free Response #1a

2011 Calculus BC Free Response #1a Velocity and acceleration vectors for particle
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Lec 176 - 2011 Calculus BC Free Response ...

2011 Calculus BC Free Response #1 (b & c) Position and slope of particle's path at a given time
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Lec 177 - 2011 Calculus BC Free Response #1d

2011 Calculus BC Free Response #1d Arc length for a curve
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Lec 178 - 2011 Calculus BC Free Response #3a

2011 Calculus BC Free Response #3a Arc length of a function
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Lec 179 - 2011 Calculus BC Free Response ...

2011 Calculus BC Free Response #3 (b & c) Volume of a solid of rotation and Chain Rule for rates of change.
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Lec 180 - 2011 Calculus BC Free Response #6a

2011 Calculus BC Free Response #6a Taylor Series approximation of sin(x)
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Lec 181 - 2011 Calculus BC Free Response #6b

2011 Calculus BC Free Response #6b Taylor Series for cos x at x=0
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Lec 182 - 2011 Calculus BC Free Response #6c

2011 Calculus BC Free Response #6c Calculating the 6th derivative at 0 from the Taylor Series approximation
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Lec 183 - Error or Remainder of a Taylor ...

Error or Remainder of a Taylor Polynomial Approximation Understanding the properties of the remainder or error function for an Nth degree Taylor approximation of a function
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Lec 184 - Proof: Bounding the Error or R ...

Proof: Bounding the Error or Remainder of a Taylor Polynomial Approximation- Proof of the Lagrange Error Bound (the bound of the error)
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Lec 185 - 2011 Calculus BC Free Response #6d

2011 Calculus BC Free Response #6d Lagrange error bound for Taylor Polynomial approximation
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Lec 186 - Constructing a unit normal vec ...

Constructing a unit normal vector to a curve Figuring out a unit normal vector at any point along a curve defined by a position vector function
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Lec 187 - Constructing a unit normal ve ...

Constructing a unit normal vector to a curve
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Lec 188 - 2 D Divergence Theorem

2 D Divergence Theorem Using Green's Theorem to establish a two dimensional version of the Divergence Theorem
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Lec 189 - Conceptual clarification for 2 ...

Conceptual clarification for 2-D Divergence Theorem Understanding the line integral as flux through a boundary
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Lec 190 - Surface Integral Example Part ...

Surface Integral Example Part 2 - Calculating the Surface Differential Taking the cross product to calculate the surface differential in terms of the parameters
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Lec 191 - Surface Integral Example Part ...

Surface Integral Example Part 1 - Parameterizing the Unit Sphere Visualizing a suitable parameterization
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Lec 192 - Surface Integral Example Part ...

Surface Integral Example Part 3 - The Home Stretch Using a few trigonometric identities to finally calculate the value of the surface integral
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Lec 193 - Surface Integral Ex2 part 1 - ...

Surface Integral Ex2 part 1 - Parameterizing the Surface Parametrizing a surface that can be explictly made a function of x and y.
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Lec 194 - Surface Integral Ex2 part 2 - ...

Surface Integral Ex2 part 2 - Evaluating Integral Evaluating the surface integral
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Lec 195 - Surface Integral Ex3 part 1 - ...

Surface Integral Ex3 part 1 - Parameterizing the Outside Surface Breaking apart a larger surface into its components
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Lec 196 - Surface Integral Ex3 part 2 - ...

Surface Integral Ex3 part 2 - Evaluating the Outside Surface Evaluating the surface integral over the outside of the chopped cylinder
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Lec 197 - Surface Integral Ex3 part 3 - ...

Surface Integral Ex3 part 3 - Top surface Parametrizing the top surface
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Lec 198 - Surface Integral Ex3 part 4 - ...

Surface Integral Ex3 part 4 - Home Stretch Evaluating the third surface integral and coming to the final answer
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Lec 199 - Conceputal Understanding of Fl ...

Conceputal Understanding of Flux in Three Dimensions Conceptual understanding of flux across a two-dimensional surface
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Lec 200 - Constructing a unit normal vec ...

Constructing a unit normal vector to a surface Deriving a unit normal vector from the surface parametrization

Calculus


Source of these courses is khan 
Topics 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)
khan  Website: http://www.dnatube.com/school/khan

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khan 

Videos are obtained from khan 
COURSE NAME: Calculus

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