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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. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)

Self-Study Content
  1. Newton Leibniz and Usain Bolt

    More free lessons at: http://www.khanacademy.org/video?v=EKvHQc3QEow Why we study differential calc

  2. Introduction to Limits (HD)

    More free lessons at: http://www.khanacademy.org/video?v=riXcZT2ICjA Introduction to Limits (HD)

  3. Introduction to Limits

    More free lessons at: http://www.khanacademy.org/video?v=W0VWO4asgmk Introduction to the intuition

  4. Limit Examples (part 1)

    More free lessons at: http://www.khanacademy.org/video?v=GGQngIp0YGI Some limit exercises

  5. Limit Examples (part 2)

    More free lessons at: http://www.khanacademy.org/video?v=YRw8udexH4o More limit examples

  6. Limit Examples (part3)

    More free lessons at: http://www.khanacademy.org/video?v=gWSDDopD9sk More limit examples

  7. Limit Examples w/ brain malfunction on first prob (part 4)

    More free lessons at: http://www.khanacademy.org/video?v=xjkSE9cPqzo 3 interesting limit examples (

  8. Squeeze Theorem

    More free lessons at: http://www.khanacademy.org/video?v=igJdDN-DPgA Intuition (but not a proof) of

  9. Proof: lim (sin x)/x

    More free lessons at: http://www.khanacademy.org/video?v=Ve99biD1KtA Using the squeeze theorem to p

  10. More Limits

    More free lessons at: http://www.khanacademy.org/video?v=rkeU8_4nzKo More limit examples

  11. Epsilon Delta Limit Definition 1

    More free lessons at: http://www.khanacademy.org/video?v=-ejyeII0i5c Introduction to the Epsilon De

  12. Epsilon Delta Limit Definition 2

    More free lessons at: http://www.khanacademy.org/video?v=Fdu5-aNJTzU Using the epsilon delta defini

  13. Calculus: Derivatives 1 (new HD version)

    More free lessons at: http://www.khanacademy.org/video?v=ANyVpMS3HL4 Calculus-Derivative: Understan

  14. Calculus: Derivatives 2 (new HD version)

    More free lessons at: http://www.khanacademy.org/video?v=IePCHjMeFkE Calculus-Derivative: Finding

  15. Calculus: Derivatives 2.5 (new HD version)

    More free lessons at: http://www.khanacademy.org/video?v=HEH_oKNLgUU Calculus-Derivative: Finding t

  16. Derivative Intuition Module

    More free lessons at: http://www.khanacademy.org/video?v=HtvikVD9aa0 Sal walking through the deriva

  17. Calculus: Derivatives 1

    More free lessons at: http://www.khanacademy.org/video?v=rAof9Ld5sOg Finding the slope of a tangent

  18. Calculus: Derivatives 2

    More free lessons at: http://www.khanacademy.org/video?v=ay8838UZ4nM More intuition of what a deriv

  19. Calculus: Derivatives 3

    More free lessons at: http://www.khanacademy.org/video?v=z1lwai-lIzY Determining the derivatives of

  20. The Chain Rule

    Part 4 of derivatives. Introduction to the chain rule.

  21. Chain Rule Examples

    Examples using the Chain Rule

  22. Even More Chain Rule

    Even more examples using the chain rule.

  23. Product Rule

    More free lessons at: http://www.khanacademy.org/video?v=h78GdGiRmpM The product rule. Examples us

  24. Quotient Rule

    More free lessons at: http://www.khanacademy.org/video?v=E_1gEtiGPNI Why the quotient rule is the s

  25. Derivatives (part 9)

    More examples of taking derivatives

  26. Proof: d/dx(x^n)

    More free lessons at: http://www.khanacademy.org/video?v=dZnc3PtNaN4 Proof that d/dx(x^n) = n*x^(n-

  27. Proof: d/dx(sqrt(x))

    More free lessons at: http://www.khanacademy.org/video?v=789aMeepbxI Proof that d/dx (x^.5) = .5x^(

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

    More free lessons at: http://www.khanacademy.org/video?v=yUpDRpkUhf4 Taking the derivative of ln x

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

    More free lessons at: http://www.khanacademy.org/video?v=sSE6_fK3mu0 Proof that the derivative of e

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

    More free lessons at: http://www.khanacademy.org/video?v=3nQejB-XPoY Doing both proofs in the same

  31. Extreme Derivative Word Problem (advanced)

    More free lessons at: http://www.khanacademy.org/video?v=viaPc8zDcRI A difficult but interesting de

  32. Implicit Differentiation

    Taking the derivative when y is defined implicitly.

  33. Implicit Differentiation (part 2)

    A hairier implicit differentiation problem.

  34. More implicit differentiation

    2 more implicit differentiation examples

  35. More chain rule and implicit differentiation intuition

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

  36. Trig Implicit Differentiation Example

    Implicit differentiation example that involves the tangent function

  37. Calculus: Derivative of x^(x^x)

    More free lessons at: http://www.khanacademy.org/video?v=N5kkwVoAtkc Calculus: Derivative of x^(x^x

  38. Introduction to L'Hopital's Rule

    More free lessons at: http://www.khanacademy.org/video?v=PdSzruR5OeE Introduction to L'Hopital's Ru

  39. L'Hopital's Rule Example 1

    More free lessons at: http://www.khanacademy.org/video?v=BiVOC3WocXs L'Hopital's Rule Example 1

  40. L'Hopital's Rule Example 2

    More free lessons at: http://www.khanacademy.org/video?v=FJo18AwLfuI L'Hopital's Rule Example 2

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