# OCW Scholar: Single Variable Calculus

## By Christine Breiner, David Jordan, Joel Lewis

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#### Description

This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics. OCW Scholar courses are designed for independent learners who have few additional resources available to them. The courses are substantially more complete than typical OCW courses and include new custom-created content as well as materials repurposed from MIT classrooms. The materials are are also arranged in logical sequences and include multimedia such as video and simulations.

Name | Description | Released | Price | ||
---|---|---|---|---|---|

1 | VideoRecitation Introduction | This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics. | 7/2/2015 | Free | View in iTunes |

2 | VideoGraphing a Derivative Function | This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics. | 7/2/2015 | Free | View in iTunes |

3 | VideoSmoothing a Piece-wise Function | This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics. | 7/2/2015 | Free | View in iTunes |

4 | VideoDefinition of the Derivative | 7/2/2015 | Free | View in iTunes | |

5 | VideoTangent Line to a Polynomial | 7/2/2015 | Free | View in iTunes | |

6 | VideoConstant Multiple Rule | 7/2/2015 | Free | View in iTunes | |

7 | VideoDerivatives of Sine and Cosine | 7/2/2015 | Free | View in iTunes | |

8 | VideoQuotient Rule | 7/2/2015 | Free | View in iTunes | |

9 | VideoProduct Rule | 7/2/2015 | Free | View in iTunes | |

10 | VideoChain Rule | 7/2/2015 | Free | View in iTunes | |

11 | VideoImplicit Differentiation | 7/2/2015 | Free | View in iTunes | |

12 | VideoGraphing the Arctan Function | 7/2/2015 | Free | View in iTunes | |

13 | VideoArccos | 7/2/2015 | Free | View in iTunes | |

14 | VideoLog and Exponent Derivatives | 7/2/2015 | Free | View in iTunes | |

15 | VideoRules of Logs | 7/2/2015 | Free | View in iTunes | |

16 | VideoHyperbolic trig functions | 7/2/2015 | Free | View in iTunes | |

17 | VideoImplicit differentiation and linear approximation | 7/2/2015 | Free | View in iTunes | |

18 | VideoQuadratic Approximation | 7/2/2015 | Free | View in iTunes | |

19 | VideoQuadratic Approximation of a Product | 7/2/2015 | Free | View in iTunes | |

20 | VideoSketching a curve | 7/2/2015 | Free | View in iTunes | |

21 | VideoClosest Point to the Origin | 7/2/2015 | Free | View in iTunes | |

22 | VideoMaximum Surface Area | 7/2/2015 | Free | View in iTunes | |

23 | VideoMinimum Triangle Area | 7/2/2015 | Free | View in iTunes | |

24 | VideoRelated rates 1 | 7/2/2015 | Free | View in iTunes | |

25 | VideoUsing Newton's Method | 7/2/2015 | Free | View in iTunes | |

26 | VideoRelated rates 2 | 7/2/2015 | Free | View in iTunes | |

27 | VideoMean Value Theorem | 7/2/2015 | Free | View in iTunes | |

28 | VideoMean value theorem | 7/2/2015 | Free | View in iTunes | |

29 | VideoComputing Differentials | 7/2/2015 | Free | View in iTunes | |

30 | VideoAntidiff. With Discontinuity | 7/2/2015 | Free | View in iTunes | |

31 | VideoLinear approx. with differentials | 7/2/2015 | Free | View in iTunes | |

32 | VideoComputing Antiderivatives | 7/2/2015 | Free | View in iTunes | |

33 | VideoDifferential Equation | 7/2/2015 | Free | View in iTunes | |

34 | VideoAntidifferentiation by substitution | 7/2/2015 | Free | View in iTunes | |

35 | VideoDifferential Equation With Graph | 7/2/2015 | Free | View in iTunes | |

36 | VideoRiemann sum | 7/2/2015 | Free | View in iTunes | |

37 | VideoComputing the Volume of a Paraboloid | 7/2/2015 | Free | View in iTunes | |

38 | VideoDefinite Integrals of tan(x) | 7/2/2015 | Free | View in iTunes | |

39 | VideoSummation Notation Practice | 7/2/2015 | Free | View in iTunes | |

40 | VideoDefinite Integral by Substitution | 7/2/2015 | Free | View in iTunes | |

41 | VideoApplying the Second Fundamental Theorem | 7/2/2015 | Free | View in iTunes | |

42 | VideoSecond fundamental theorem and chain rule | 7/2/2015 | Free | View in iTunes | |

43 | VideoArea Between the Graphs of Sine and Cosine | 7/2/2015 | Free | View in iTunes | |

44 | VideoSecond fundamental theorem and quadratic approximation | 7/2/2015 | Free | View in iTunes | |

45 | VideoVolume of a Paraboloid via Disks | 7/2/2015 | Free | View in iTunes | |

46 | VideoArea Between y=x^3 and y=3x-2 | 7/2/2015 | Free | View in iTunes | |

47 | VideoVolume of Revolution via Shells | 7/2/2015 | Free | View in iTunes | |

48 | VideoAverage Velocity | 7/2/2015 | Free | View in iTunes | |

49 | VideoAverage x-Coordinate in a Region | 7/2/2015 | Free | View in iTunes | |

50 | VideoExplanation of Simpson's rule | 7/2/2015 | Free | View in iTunes | |

51 | VideoUsing the Trapezoid and Simpson's rules | 7/2/2015 | Free | View in iTunes | |

52 | VideoTrig Integral Practic | 7/2/2015 | Free | View in iTunes | |

53 | VideoTrig Integrals and a Volume of Revolution | 7/2/2015 | Free | View in iTunes | |

54 | VideoIntegral of tan^4 (theta) | 7/2/2015 | Free | View in iTunes | |

55 | VideoIntegration by completing the square | 7/2/2015 | Free | View in iTunes | |

56 | VideoHyperbolic Trig Sub | 7/2/2015 | Free | View in iTunes | |

57 | VideoFinding u and v' When Integrating by Parts | 7/2/2015 | Free | View in iTunes | |

58 | VideoPartial Fractions Decomposition | 7/2/2015 | Free | View in iTunes | |

59 | VideoArc Length of y=x^(2/3) | 7/2/2015 | Free | View in iTunes | |

60 | VideoIntegrating sin^n(x) Using Reduction | 7/2/2015 | Free | View in iTunes | |

61 | VideoParametric Arclength | 7/2/2015 | Free | View in iTunes | |

62 | VideoSurface Area of a Torus | 7/2/2015 | Free | View in iTunes | |

63 | VideoPolar to Cartesian | 7/2/2015 | Free | View in iTunes | |

64 | VideoIntegration Practice I | 7/2/2015 | Free | View in iTunes | |

65 | VideoGraph of r = 1 + cos(theta/2) | 7/2/2015 | Free | View in iTunes | |

66 | VideoIntegration Practice II | 7/2/2015 | Free | View in iTunes | |

67 | VideoIntegration Practice III | 7/2/2015 | Free | View in iTunes | |

68 | Videol'Hospital Practice | 7/2/2015 | Free | View in iTunes | |

69 | VideoIntegration Practice IV | 7/2/2015 | Free | View in iTunes | |

70 | VideoFailure of L'Hospital's Rule | 7/2/2015 | Free | View in iTunes | |

71 | VideoA Solid With Finite Volume and Infinite Cross Section | 7/2/2015 | Free | View in iTunes | |

72 | VideoIntegral of x^n e^(-x) | 7/2/2015 | Free | View in iTunes | |

73 | VideoLimit of a Series | 7/2/2015 | Free | View in iTunes | |

74 | VideoImproper Integrals | 7/2/2015 | Free | View in iTunes | |

75 | VideoComparison Tests | 7/2/2015 | Free | View in iTunes | |

76 | VideoRatio Test for Convergence | 7/2/2015 | Free | View in iTunes | |

77 | VideoIntegral Test | 7/2/2015 | Free | View in iTunes | |

78 | VideoRatio Test -- Radius of Convergence | 7/2/2015 | Free | View in iTunes | |

79 | VideoPower Series Practice | 7/2/2015 | Free | View in iTunes | |

80 | VideoTaylor's Series of a Polynomial | 7/2/2015 | Free | View in iTunes | |

81 | VideoFinding Taylor's Series | 7/2/2015 | Free | View in iTunes | |

82 | VideoTaylor's Series for sec(x) | 7/2/2015 | Free | View in iTunes | |

83 | VideoIntegration of Taylor's Series | 7/2/2015 | Free | View in iTunes | |

84 | VideoSeries Calculation Using a Riemann Sum | 7/2/2015 | Free | View in iTunes | |

85 | Video4J3, Diffusion of a Chemical | 7/2/2015 | Free | View in iTunes | |

86 | VideoIndeterminate forms | 7/2/2015 | Free | View in iTunes | |

87 | VideoIntegral Test as Estimation | 7/2/2015 | Free | View in iTunes |

87 Items |

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- Language: English
- © http://ocw.mit.edu; Creative Commons Attribution-NonCommercial-ShareAlike 3.0; http://ocw.mit.edu/terms/; Album art image courtesy of Haynes Miller, Heidi Burgiel, and J.-M. Claus.

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