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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

About this course

Videos:
35
Terms:
Fall 2006
Duration:
28 hours

About the lecturer

Jerison, David

Jerison, David

About the creator

MIT

  1. 3,058 videos
  2. 335,786 subscribers

MIT 18.01 Single Variable Calculus, Fall 2006

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Lectures in this course (35)

  1. Lec 1 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 51:33

    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/t...

    612,452 views

  2. Lec 2 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 52:47

    Limits, continuity; Trigonometric limits 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 More courses at http://ocw.mit.edu

    211,441 views

  3. Lec 3 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 49:55

    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 More information at http://ocw.mit.edu/terms More courses at http://ocw.m...

    by Prof. David Jerison | 154,287 views

  4. Lec 4 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 46:03

    Chain rule Higher derivatives 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 More courses at http://ocw.mit.edu

    90,995 views

  5. Lec 5 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 49:01

    Implicit differentiation, inverses 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 More courses at http://ocw.mit.edu

    92,704 views

  6. Lec 6 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 47:57

    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 More information at htt...

    88,876 views

  7. Lec 7 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 50:53

    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 comple...

    69,402 views

  8. Lec 9 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 46:48

    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 More information at http://ocw.mit.edu/terms More c...

    55,459 views

  9. Lec 10 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 51:44

    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 More information at http://ocw.m...

    35,302 views

  10. Lec 11 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 49:42

    Lecture 11: Max-min problems 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 More courses at http://ocw.mit.edu

    42,467 views

  11. Lec 12 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 49:56

    Lecture 12: Related rates 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 More courses at http://ocw.mit.edu

    44,808 views

  12. Lec 13 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 53:23

    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 More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

    47,886 views

  13. Lec 14 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 49:42

    Lecture 14: Mean value theorem; Inequalities 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 More courses at http://ocw.mit.edu

    43,567 views

  14. Lec 15 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 48:53

    Lecture 15: Differentials, antiderivatives 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 More courses at http://ocw.mit.edu

    50,404 views

  15. Lec 16 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 45:25

    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:...

    50,407 views

  16. Lec 18 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 47:14

    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 More information at http://ocw.mit.edu/terms More courses at http...

    47,915 views

  17. Lec 19 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 48:15

    Lecture 19: First fundamental theorem of calculus 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 More courses at http://ocw.mit.edu

    43,562 views

  18. Lec 20 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 49:30

    Lecture 20: Second fundamental theorem 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 More courses at http://ocw.mit.edu

    37,595 views

  19. Lec 21 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 50:17

    Lecture 21: Applications to logarithms and geometry 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 More courses at http://ocw.mit.edu

    27,862 views

  20. Lec 22 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 49:58

    Lecture 22: Volumes by disks and shells 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 More courses at http://ocw.mit.edu

    37,406 views

  21. Lec 23 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 48:36

    Lecture 23: Work, average value, probability 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 More courses at http://ocw.mit.edu

    26,614 views

  22. Lec 24 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 50:30

    Lecture 24: Numerical integration 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 More courses at http://ocw.mit.edu

    29,791 views

  23. Lec 25 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 49:19

    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 More information at http://ocw.mit.edu/terms More courses at http:...

    29,831 views

  24. Lec 27 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 46:45

    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 More information at http://ocw.mit.edu/terms More courses at http...

    by David Jerison | 31,867 views

  25. Lec 28 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 48:29

    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 More information at http://ocw.mit.edu/terms Mo...

    by David Jerison | 27,578 views

  26. Lec 29 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 48:38

    Lecture 29: Partial fractions Instructor: David Jerison 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 More courses at http://ocw.mit.edu

    by David Jerison | 30,322 views

  27. Lec 30 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 51:24

    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 More information at http://ocw.mit.edu/terms More courses at http...

    by David Jerison | 39,997 views

  28. Lec 31 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 45:25

    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 More information at http://ocw.mit.edu/terms More courses at...

    by David Jerison | 29,511 views

  29. Lec 32 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 49:23

    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 More information at http://ocw.mit.edu/terms More courses at http://ocw...

    by David Jerison | 29,562 views

  30. Lec 33 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 49:07

    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 More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

    by David Jerison | 23,131 views

  31. Lec 35 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 48:43

    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 More information at http://ocw.mit.edu/terms More courses at http:...

    by David Jerison | 34,491 views

  32. Lec 36 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 49:27

    Lecture 36: Improper integrals Instructor: David Jerison 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 More courses at http://ocw.mit.edu

    by David Jerison | 47,459 views

  33. Lec 37 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 50:12

    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 More information at http://ocw.mit.edu/terms More courses at http://...

    by David Jerison | 44,092 views

  34. Lec 38 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 47:31

    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 More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

    by David Jerison | 45,392 views

  35. Lec 39 | MIT 18.01 Single Variable Calculus, Fall 2007

    Thumbnail 39:14

    Lecture 39: Final review Instructor: David Jerison 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 More courses at http://ocw.mit.edu

    by David Jerison | 27,289 views

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