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
914 views

Introduction to the intuition behind limits
796 views

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

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

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

Using the epsilon delta definition to prove a limit
721 views

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

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

Watch the next lesson: https://www.khanacademy.org/math/differe ...
846 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 ...
843 views

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

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

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

Examples using the Chain Rule
695 views

Even more examples using the chain rule.
663 views

More examples of taking derivatives
781 views

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

Taking the derivative when y is defined implicitly.
716 views

A hairier implicit differentiation problem.
787 views

2 more implicit differentiation examples
693 views

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

Implicit differentiation example that involves the tangent function
928 views

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

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

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

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

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

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

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

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

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

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

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

More graphing with calculus.
767 views

Find two numbers whose products is -16 and the sum of whose squares is a minimum.
721 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.
656 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 ...
715 views

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

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

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

The classic falling ladder problem
893 views

An introduction to indefinite integration of polynomials.
794 views

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

Integration by doing the chain rule in reverse.
687 views

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

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

Another example using integration by parts.
603 views

Finding the antiderivative using u-substitution.
665 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.
642 views

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

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

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

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

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

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

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

Example using trig substitution (and trig identities) to solve an integral. More free lessons at: http://www.khanacademy.org/video?v=sw2p2
713 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:/ ...
904 views

3 basic differential equations that can be solved by taking the antiderivatives of both sides.
726 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
753 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
767 views

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

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

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

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

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

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

Introduction to the arithmetic and geometric series
648 views

Finding the sum of an infinite geometric series.
674 views

Approximating a function at 0 using a polynomial More free lessons at: http://www.khanacademy.org/video?v=epgwu
895 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
683 views

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

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

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

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

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

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

Using a polynomial to approximate a function at f(0). More free lessons at: http://www.khanacademy.org/video?v=sy132
648 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
632 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
737 views

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

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

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

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