en calculus khanacademy 5/5 (1)

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Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

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Lessons

Why we study differential calculus More free lessons at: http://www.khanacademy.org/video?v=EKvHQ
834 views

Introduction to the intuition behind limits
716 views

3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))
691 views

Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1
576 views

Introduction to the Epsilon Delta Definition of a Limit.
713 views

Using the epsilon delta definition to prove a limit
648 views

Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line)
639 views

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/diffe ...
702 views

Watch the next lesson: https://www.khanacademy.org/math/differe ...
770 views

Sal walking through the derivative intuition module made by Ben Eater Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/diffe ...
754 views

Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus.
673 views

More intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2
648 views

Part 4 of derivatives. Introduction to the chain rule.
705 views

Examples using the Chain Rule
644 views

Even more examples using the chain rule.
625 views

More examples of taking derivatives
723 views

Doing both proofs in the same video to clarify any misconceptions that the original proof was "circular".
762 views

Taking the derivative when y is defined implicitly.
660 views

A hairier implicit differentiation problem.
742 views

2 more implicit differentiation examples
646 views

More intuition behind the chain rule and how it applies to implicit differentiation.
664 views

Implicit differentiation example that involves the tangent function
862 views

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/diffe ...
605 views

Introduction to L'Hôpital's Rule Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/diffe ...
672 views

L'Hôpital's Rule Example 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/diffe ...
667 views

L'Hôpital's Rule Example 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/diffe ...
833 views

L'Hôpital's Rule Example 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/diffe ...
665 views

Intuition on what happens to the slope/derivative and second derivatives at local maxima and minima.
587 views

Understanding concave upwards and downwards portions of graphs and the relation to the derivative. Inflection point intuition
682 views

Using the monotonicity theorem to determine when a function is increasing or decreasing.
729 views

2 examples of finding the maximum and minimum points on an interval.
682 views

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/diffe ...
698 views

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/diffe ...
807 views

More graphing with calculus.
716 views

Find two numbers whose products is -16 and the sum of whose squares is a minimum.
672 views

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.
617 views

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 are ...
669 views

Minimizing the cost of material for an open rectangular box.
694 views

Using derivatives to solve rate-of-change problems
762 views

Another (simpler) example of using the chain rule to determine rates-of-change
690 views

The classic falling ladder problem
834 views

An introduction to indefinite integration of polynomials.
734 views

Examples of taking the indefinite integral (or anti-derivative) of polynomials.
618 views

Integration by doing the chain rule in reverse.
641 views

Integration by substitution (or the reverse-chain-rule)
651 views

Introduction to Integration by Parts (kind of the reverse-product rule)
655 views

Another example using integration by parts.
569 views

Finding the antiderivative using u-substitution.
629 views

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.
589 views

More on why the antiderivative and the area under a curve are essentially the same thing.
602 views

More on why the antiderivative and the area under a curve are essentially the same thing.
652 views

Examples of using definite integrals to find the area under a curve
610 views

More examples of using definite integrals to calculate the area between curves
668 views

Solving a definite integral with substitution (or the reverse chain rule)
761 views

Example of using trig substitution to solve an indefinite integral More free lessons at: http://www.khanacademy.org/video?v=n4EK9
696 views

Another example of finding an anti-derivative using trigonometric substitution More free lessons at: http://www.khanacademy.org/video?v=fD7Mb
663 views

Example using trig substitution (and trig identities) to solve an integral. More free lessons at: http://www.khanacademy.org/video?v=sw2p2
665 views

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! More free lessons at: http:/ ...
849 views

3 basic differential equations that can be solved by taking the antiderivatives of both sides.
675 views

Figuring out the volume of a function rotated about the x-axis. More free lessons at: http://www.khanacademy.org/video?v=R_aqS
708 views

The volume of y=sqrt(x) between x=0 and x=1 rotated around x-axis More free lessons at: http://www.khanacademy.org/video?v=iUzfs
723 views

Figuring out the equation for the volume of a sphere. More free lessons at: http://www.khanacademy.org/video?v=tqfU9
637 views

More volumes around the x-axis. More free lessons at: http://www.khanacademy.org/video?v=OtmjN
779 views

Use the "shell method" to rotate about the y-axis More free lessons at: http://www.khanacademy.org/video?v=NIdqk
782 views

Using the disk method around the y-axis. More free lessons at: http://www.khanacademy.org/video?v=F2psx
640 views

Taking the revolution around something other than one of the axes. More free lessons at: http://www.khanacademy.org/video?v=IZ8W-
599 views

The last part of the problem in part 7 More free lessons at: http://www.khanacademy.org/video?v=4Flj9
708 views

Introduction to the arithmetic and geometric series
591 views

Finding the sum of an infinite geometric series.
631 views

Approximating a function at 0 using a polynomial More free lessons at: http://www.khanacademy.org/video?v=epgwu
838 views

Approximating f(x)=cos x using a Maclauren Series (special case of a Taylor series at x=0) More free lessons at: http://www.khanacademy.org/video?v=WWe7p
632 views

Sine Taylor Series at 0 (Maclaurin) More free lessons at: http://www.khanacademy.org/video?v=LlKvu
648 views

Taylor Series at 0 (Maclaurin) for e to the x More free lessons at: http://www.khanacademy.org/video?v=JYQqm
655 views

Rationale for Euler's Formula and Euler's Identity More free lessons at: http://www.khanacademy.org/video?v=mgNtP
805 views

Using Wolfram Alpha to approximate sin(x) More free lessons at: http://www.khanacademy.org/video?v=8dMLK
775 views

Approximating a function around a non-zero x value More free lessons at: http://www.khanacademy.org/video?v=1LxhX
551 views

Visualizing Taylor Series for e^x More free lessons at: http://www.khanacademy.org/video?v=AFMXi
802 views

Using a polynomial to approximate a function at f(0). More free lessons at: http://www.khanacademy.org/video?v=sy132
595 views

Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series) More free lessons at: http://www.khanacademy.org/video?v=3JG3q
584 views

A glimpse of the mystery of the Universe as we approximate e^x with an infinite series. More free lessons at: http://www.khanacademy.org/video?v=XZDGr
706 views

Approximating cos x with a Maclaurin series. More free lessons at: http://www.khanacademy.org/video?v=gcJeg
672 views

MacLaurin representation of sin x More free lessons at: http://www.khanacademy.org/video?v=9AoDu
712 views

A pattern emerges! More free lessons at: http://www.khanacademy.org/video?v=-gRNR
634 views
 

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