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Massachusetts Institute of Technology

MIT 18.01 Single Variable Calculus, Fall 2006

  • 35 videos
  • 40,321 views
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This introductory calculus course covers differentiation and integration of functions of one variable, with applications.

**Note: Lectures 8, 17, 27, 34 are exams and therefore have no video

View the complete course at: http://ocw.mit.edu/18-01F06

License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms

This introductory calculus course covers differentiation and integration of functions of one variable, with applications.

**Note: Lectures 8, 17, 27, 34 are exams and therefore have no video

View the complete course at: http://ocw.mit.edu/18-01F06

License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
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  1. Thumbnail 51:33
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    Lec 1 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 617,401 views

    Lecture 01: Derivatives, slope, velocity, rate of change
    *Note: this video was revised, raising the audio levels.
    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
    More information at http://ocw.mit.edu/terms
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  2. Thumbnail 52:47
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    Lec 2 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 216,837 views

    Limits, continuity; Trigonometric limits
    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  3. Thumbnail 49:55
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    Lec 3 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 158,920 views

    Instructor: Prof. David Jerison
    Derivatives of products, quotients, sine, cosine
    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  4. Thumbnail 46:03
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    Lec 4 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 93,112 views

    Chain rule
    Higher derivatives
    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  5. Thumbnail 49:01
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    Lec 5 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 94,797 views

    Implicit differentiation, inverses

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  6. Thumbnail 47:57
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    Lec 6 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 90,771 views

    Exponential and log

    Logarithmic differentiation; hyperbolic functions

    Note: More on "exponents continued" in lecture 7

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  7. Thumbnail 50:53
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    Lec 7 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 70,760 views

    Hyperbolic functions (cont.) and exam 1 review

    Note: the review for the exam in lecture 7 is not comprehensive because the students already have practice exams available to them. Lecture 8 is Exam 1, so no video was recorded.

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  8. Thumbnail 46:48
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    Lec 9 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 56,663 views

    Lecture 09: Linear and quadratic approximations
    View the complete course at: http://ocw.mit.edu/18-01F06
    *Note: Lecture 8 is Exam 1, so no video was recorded.

    License: Creative Commons BY-NC-SA
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  9. Thumbnail 51:44
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    Lec 10 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 36,182 views

    Lecture 10: Approximations (cont.); curve sketching

    *Note: this video was revised, raising the video brightness.

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  10. Thumbnail 49:42
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    Lec 11 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 43,420 views

    Lecture 11: Max-min problems

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  11. Thumbnail 49:56
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    Lec 12 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 45,710 views

    Lecture 12: Related rates
    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  12. Thumbnail 53:23
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    Lec 13 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 48,740 views

    Lecture 13: Newton's method and other applications

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  13. Thumbnail 49:42
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    Lec 14 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 44,405 views

    Lecture 14: Mean value theorem; Inequalities

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  14. Thumbnail 48:53
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    Lec 15 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 51,466 views

    Lecture 15: Differentials, antiderivatives
    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  15. Thumbnail 45:25
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    Lec 16 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 51,449 views

    Lecture 16: Differential equations, separation of variables

    *Note: this video was revised, raising the video brightness.

    Lecture 17 is Exam 2, so no video was recorded.

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  16. Thumbnail 47:14
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    Lec 18 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 49,191 views

    Lecture 18: Definite integrals

    View the complete course at: http://ocw.mit.edu/18-01F06

    Lecture 17 is Exam 2, so no video was recorded.

    License: Creative Commons BY-NC-SA
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  17. Thumbnail 48:15
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    Lec 19 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 44,520 views

    Lecture 19: First fundamental theorem of calculus
    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  18. Thumbnail 49:30
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    Lec 20 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 38,464 views

    Lecture 20: Second fundamental theorem
    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  19. Thumbnail 50:17
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    Lec 21 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 28,495 views

    Lecture 21: Applications to logarithms and geometry

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  20. Thumbnail 49:58
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    Lec 22 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 38,057 views

    Lecture 22: Volumes by disks and shells

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  21. Thumbnail 48:36
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    Lec 23 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 27,232 views

    Lecture 23: Work, average value, probability

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  22. Thumbnail 50:30
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    Lec 24 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 30,478 views

    Lecture 24: Numerical integration

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  23. Thumbnail 49:19
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    Lec 25 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 30,346 views

    Lecture 25: Exam 3 review
    Note: Lecture 26 was an exam session. No video was recorded.

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  24. Thumbnail 46:45
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    Lec 27 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 32,589 views

    Lecture 27: Trigonometric integrals and substitution

    Instructor: David Jerison

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  25. Thumbnail 48:29
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    Lec 28 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 28,137 views

    Lecture 28: Integration by inverse substitution; completing the square

    Instructor: David Jerison

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  26. Thumbnail 48:38
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    Lec 29 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 31,116 views

    Lecture 29: Partial fractions
    Instructor: David Jerison
    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  27. Thumbnail 51:24
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    Lec 30 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 40,888 views

    Lecture 30: Integration by parts, reduction formulae

    Instructor: David Jerison

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  28. Thumbnail 45:25
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    Lec 31 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 30,152 views

    Lecture 31: Parametric equations, arclength, surface area

    Instructor: David Jerison

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  29. Thumbnail 49:23
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    Lec 32 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 30,168 views

    Lecture 32: Polar coordinates; area in polar coordinates
    Instructor: David Jerison
    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  30. Thumbnail 49:07
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    Lec 33 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 23,709 views

    Lecture 33: Exam 4 review

    Instructor: David Jerison

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  31. Thumbnail 48:43
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    Lec 35 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 35,347 views

    Lecture 35: Indeterminate forms - L'Hospital's rule

    Instructor: David Jerison

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  32. Thumbnail 49:27
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    Lec 36 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 48,142 views

    Lecture 36: Improper integrals

    Instructor: David Jerison

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  33. Thumbnail 50:12
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    Lec 37 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 45,129 views

    Lecture 37: Infinite series and convergence tests

    Instructor: David Jerison

    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  34. Thumbnail 47:31
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    Lec 38 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 46,589 views

    Lecture 38: Taylor's series
    Instructor: David Jerison
    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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  35. Thumbnail 39:14
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    Lec 39 | MIT 18.01 Single Variable Calculus, Fall 2007

    by MIT 27,861 views

    Lecture 39: Final review
    Instructor: David Jerison
    View the complete course at: http://ocw.mit.edu/18-01F06

    License: Creative Commons BY-NC-SA
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