# Calculus One

## by The Ohio State University

To subscribe to an iTunes U course, click View in iTunes.

#### Course Description

Calculus is about the very large, the very small, and how things change. The surprise is that something seemingly so abstract ends up explaining the real world. Calculus plays a starring role in the biological, physical, and social sciences.

This course is a first and friendly introduction to calculus, suitable for someone who has never seen the subject before, or for someone who has seen some calculus but wants to review the concepts and practice applying those concepts to solve problems.

Please visit https://mooculus.osu.edu for additional course materials and to work problem sets.

If you'd like to discuss the course, please use the hashtag #mooculus.

Name | Description | Time | Price | ||
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1 | CAPTIONED: How fast does a ball move? - Week 1 - Lecture 12 | -- | 16:38 | Free | View in iTunes |

2 | CAPTIONED: What is a function which is its own derivative? - Week 4 - Lecture 13 | -- | 8:57 | Free | View in iTunes |

3 | CAPTIONED: Who will help me? - Week 1 Introduction | -- | 1:42 | Free | View in iTunes |

4 | CAPTIONED: Where are we in the course? - Week 2 Introduction | -- | 1:17 | Free | View in iTunes |

5 | CAPTIONED: What will Week 4 bring us? - Week 4 Introduction | -- | 1:17 | Free | View in iTunes |

6 | CAPTIONED: What remains to be done? - Week 14 Introduction | -- | 1:24 | Free | View in iTunes |

7 | CAPTIONED: What is up with all the numerical analysis this week? - Week 9 Introduction | -- | 1:30 | Free | View in iTunes |

8 | CAPTIONED: What sorts of optimization problems will calculus help us solve? - Week 8 Introduction | -- | 1:34 | Free | View in iTunes |

9 | CAPTIONED: What application of integration will we consider? - Week 15 Introduction | -- | 1:40 | Free | View in iTunes |

10 | CAPTIONED: What is the big deal about the fundamental theorem of calculus? - Week 12 Introduction | -- | 2:08 | Free | View in iTunes |

11 | CAPTIONED: What does it mean to antidifferentiate? - Week 10 Introduction | -- | 2:15 | Free | View in iTunes |

12 | CAPTIONED: What comes next? Derivatives? - Week 3 Introduction | -- | 1:32 | Free | View in iTunes |

13 | CAPTIONED: What are transcendental functions? - Week 6 Introduction | -- | 1:59 | Free | View in iTunes |

14 | CAPTIONED: What applications of the derivative will we do this week? - Week 7 Introduction | -- | 1:18 | Free | View in iTunes |

15 | CAPTIONED: Is there anything more to learn about derivatives? - Week 5 Introduction | -- | 0:56 | Free | View in iTunes |

16 | CAPTIONED: Why is the limit of x² as x approaches 2 equal to 4? - Week 2 - Lecture 13 | -- | 4:54 | Free | View in iTunes |

17 | CAPTIONED: How is this course structured? - Week 13 Introduction | -- | 2:10 | Free | View in iTunes |

18 | CAPTIONED: If we are not differentiating, what are we going to do? - Week 11 Introduction | -- | 2:53 | Free | View in iTunes |

19 | CAPTIONED: Why is the limit of 2x as x approaches 10 equal to 20? - Week 2 - Lecture 14 | -- | 2:13 | Free | View in iTunes |

20 | CAPTIONED: What is the integral of sin x dx from -1 to 1? - Week 11 - Lecture 13 | -- | 3:11 | Free | View in iTunes |

21 | CAPTIONED: What is d/da integral f(x) dx from x = a to x = b? - Week 12 - Lecture 12 | -- | 5:02 | Free | View in iTunes |

22 | CAPTIONED: What is a slope field? - Week 10 - Lecture 13 | -- | 4:51 | Free | View in iTunes |

23 | CAPTIONED: Why is the derivative of a sum the sum of derivatives? - Week 3 - Lecture 12 | -- | 4:43 | Free | View in iTunes |

24 | CAPTIONED: What is the antiderivative of sine squared? - Week 10 - Lecture 12 | -- | 3:13 | Free | View in iTunes |

25 | CAPTIONED: How can we multiply numbers with trigonometry? - Week 6 - Lecture 12 | -- | 4:07 | Free | View in iTunes |

26 | CAPTIONED: What sorts of properties does the integral satisfy? - Week 11 - Lecture 12 | -- | 4:37 | Free | View in iTunes |

27 | CAPTIONED: What is the official definition of limit? - Week 2 - Lecture 12 | -- | 3:30 | Free | View in iTunes |

28 | CAPTIONED: When is the accumulation function increasing? Decreasing? - Week 11 - Lecture 11 | -- | 4:39 | Free | View in iTunes |

29 | CAPTIONED: How does one prove the chain rule? - Week 5 - Lecture 12 | -- | 6:43 | Free | View in iTunes |

30 | CAPTIONED: What is the derivative of x³ + x²? - Week 3 - Lecture 11 | -- | 5:03 | Free | View in iTunes |

31 | CAPTIONED: How can I sketch a graph by hand? - Week 4 - Lecture 12 | -- | 7:23 | Free | View in iTunes |

32 | CAPTIONED: What is the limit of a quotient? - Week 1 - Lecture 11 | -- | 9:12 | Free | View in iTunes |

33 | CAPTIONED: Without resorting to the FTC, why does substitution work? - Week 13 - Lecture 11 | -- | 3:43 | Free | View in iTunes |

34 | CAPTIONED: How fast does water drip from a faucet? - Week 2 - Lecture 11 | -- | 5:17 | Free | View in iTunes |

35 | CAPTIONED: Should I bother to find the point c in the mean value theorem? - Week 9 - Lecture 11 | -- | 4:23 | Free | View in iTunes |

36 | CAPTIONED: What is the sum of n^4 for n = 1 to n = k? - Week 12 - Lecture 10 | -- | 9:19 | Free | View in iTunes |

37 | CAPTIONED: What is the integral of x^3 from x = 1 to 2? - Week 11 - Lecture 10 | -- | 8:31 | Free | View in iTunes |

38 | CAPTIONED: Physically, why is the fundamental theorem of calculus true? - Week 12 - Lecture 11 | -- | 3:55 | Free | View in iTunes |

39 | CAPTIONED: Knowing my acceleration, what is my position? - Week 10 - Lecture 11 | -- | 4:19 | Free | View in iTunes |

40 | CAPTIONED: What is the derivative of xⁿ? - Week 3 - Lecture 10 | -- | 7:27 | Free | View in iTunes |

41 | CAPTIONED: Do all local minimums look basically the same when you zoom in? - Week 4 - Lecture 11 | -- | 3:50 | Free | View in iTunes |

42 | CAPTIONED: How do we prove the quotient rule? - Week 5 - Lecture 11 | -- | 4:57 | Free | View in iTunes |

43 | CAPTIONED: How can I approximate sin 1? - Week 6 - Lecture 11 | -- | 3:21 | Free | View in iTunes |

44 | CAPTIONED: Why does f'(x) positive imply that f is increasing? - Week 9 - Lecture 10 | -- | 5:06 | Free | View in iTunes |

45 | CAPTIONED: What is the slope of a staircase? - Week 2 - Lecture 10 | -- | 6:46 | Free | View in iTunes |

46 | CAPTIONED: How short of a ladder will clear a fence? - Week 8 - Lecture 10 | -- | 3:58 | Free | View in iTunes |

47 | CAPTIONED: What is the limit of a product? - Week 1 - Lecture 10 | -- | 2:09 | Free | View in iTunes |

48 | CAPTIONED: This title is missing a question mark. - Week 15 - Lecture 10 | -- | 1:11 | Free | View in iTunes |

49 | CAPTIONED: Knowing my velocity, what is my position? - Week 10 - Lecture 10 | -- | 3:12 | Free | View in iTunes |

50 | CAPTIONED: How quickly does a balloon fill with air? - Week 7 - Lecture 10 | -- | 3:41 | Free | View in iTunes |

51 | CAPTIONED: Why is the derivative of x² equal to 2x? - Week 3 - Lecture 9 | -- | 12:16 | Free | View in iTunes |

52 | CAPTIONED: How can I find extreme values? - Week 4 - Lecture 10 | -- | 9:50 | Free | View in iTunes |

53 | CAPTIONED: How can we get a formula for sin(a+b)? - Week 6 - Lecture 10 | -- | 4:10 | Free | View in iTunes |

54 | CAPTIONED: How can logarithms help to prove the product rule? - Week 5 - Lecture 10 | -- | 3:23 | Free | View in iTunes |

55 | CAPTIONED: Formally, why is the fundamental theorem of calculus true? - Week 13 - Lecture 10 | -- | 6:09 | Free | View in iTunes |

56 | CAPTIONED: Why is pi less than 22/7? - Week 14 - Lecture 9 | -- | 8:20 | Free | View in iTunes |

57 | CAPTIONED: What is the integral of x^2 from x = 0 to 1? - Week 11 - Lecture 9 | -- | 8:04 | Free | View in iTunes |

58 | CAPTIONED: What is the mean value theorem? - Week 9 - Lecture 9 | -- | 6:46 | Free | View in iTunes |

59 | CAPTIONED: Why do sine and cosine oscillate? - Week 6 - Lecture 9 | -- | 4:34 | Free | View in iTunes |

60 | CAPTIONED: What is the antiderivative of f(mx+b)? - Week 10 - Lecture 9 | -- | 5:14 | Free | View in iTunes |

61 | CAPTIONED: What is the difference between potential and actual infinity? - Week 2 - Lecture 9 | -- | 2:45 | Free | View in iTunes |

62 | CAPTIONED: What are extreme values? - Week 4 - Lecture 9 | -- | 7:18 | Free | View in iTunes |

63 | CAPTIONED: What is d/dx integral sin t dt from t = 0 to t = x^2? - Week 13 - Lecture 9 | -- | 3:47 | Free | View in iTunes |

64 | CAPTIONED: On the graph of y^2 = x^3, what is the length of a certain arc? - Week 15 - Lecture 9 | -- | 4:10 | Free | View in iTunes |

65 | CAPTIONED: Morally, what is the limit of a sum? - Week 1 - Lecture 9 | -- | 6:10 | Free | View in iTunes |

66 | CAPTIONED: How large of an object can you carry around a corner? - Week 8 - Lecture 9 | -- | 10:28 | Free | View in iTunes |

67 | CAPTIONED: How quickly does the water level rise in a cone? - Week 7 - Lecture 9 | -- | 6:55 | Free | View in iTunes |

68 | CAPTIONED: Where do three bubbles meet? - Week 8 - Lecture 8 | -- | 12:41 | Free | View in iTunes |

69 | CAPTIONED: How do we justify the power rule? - Week 5 - Lecture 9 | -- | 11:13 | Free | View in iTunes |

70 | CAPTIONED: In what way is summation like integration? - Week 12 - Lecture 9 | -- | 2:27 | Free | View in iTunes |

71 | CAPTIONED: Why is infinity not a number? - Week 2 - Lecture 8 | -- | 6:17 | Free | View in iTunes |

72 | CAPTIONED: What is the integral of sin^n x dx in terms of sin^(n-2) x dx? - Week 14 - Lecture 8 | -- | 11:29 | Free | View in iTunes |

73 | CAPTIONED: What is the limit of sin (1/x)? - Week 1 - Lecture 8 | -- | 8:12 | Free | View in iTunes |

74 | CAPTIONED: Why does the Euler method resemble a Riemann sum? - Week 12 - Lecture 8 | -- | 4:24 | Free | View in iTunes |

75 | CAPTIONED: What is the derivative of a constant multiple of f(x)? - Week 3 - Lecture 8 | -- | 4:48 | Free | View in iTunes |

76 | CAPTIONED: What is the integral of dx / (1 + cos x) ? - Week 13 - Lecture 8 | -- | 4:11 | Free | View in iTunes |

77 | CAPTIONED: What is the definition of the integral of f(x) from x = a to b? - Week 11 - Lecture 8 | -- | 5:44 | Free | View in iTunes |

78 | CAPTIONED: What is an antiderivative for e^(-x^2)? - Week 10 - Lecture 8 | -- | 4:45 | Free | View in iTunes |

79 | CAPTIONED: What are the derivatives of inverse trig functions? - Week 6 - Lecture 8 | -- | 10:21 | Free | View in iTunes |

80 | CAPTIONED: What does d/dx mean by itself? - Week 4 - Lecture 8 | -- | 4:01 | Free | View in iTunes |

81 | CAPTIONED: What does length even mean? - Week 15 - Lecture 8 | -- | 4:12 | Free | View in iTunes |

82 | CAPTIONED: How can we multiply quickly? - Week 5 - Lecture 8 | -- | 8:44 | Free | View in iTunes |

83 | CAPTIONED: How quickly does a bowl fill with green water? - Week 7 - Lecture 8 | -- | 4:02 | Free | View in iTunes |

84 | CAPTIONED: How can Newton's method help me to divide quickly? - Week 9 - Lecture 8 | -- | 7:20 | Free | View in iTunes |

85 | CAPTIONED: What is the integral of sin^(2n) x dx from x = 0 to x = pi? - Week 14 - Lecture 7 | -- | 7:56 | Free | View in iTunes |

86 | CAPTIONED: What is the volume of a sphere with a hole drilled in it? - Week 15 - Lecture 7 | -- | 7:33 | Free | View in iTunes |

87 | CAPTIONED: Why is a differentiable function necessarily continuous? - Week 3 - Lecture 7 | -- | 5:57 | Free | View in iTunes |

88 | CAPTIONED: What is the limit of (sin x)/x? - Week 1 - Lecture 7 | -- | 6:06 | Free | View in iTunes |

89 | CAPTIONED: How do you design the best soup can? - Week 8 - Lecture 7 | -- | 10:27 | Free | View in iTunes |

90 | CAPTIONED: What is the limit f(x) as x approaches infinity? - Week 2 - Lecture 7 | -- | 4:38 | Free | View in iTunes |

91 | CAPTIONED: What is a root of the polynomial x^5 + x^2 - 1? - Week 9 - Lecture 7 | -- | 6:50 | Free | View in iTunes |

92 | CAPTIONED: What is the integral of x / (x+1)^(1/3) dx? - Week 13 - Lecture 7 | -- | 3:49 | Free | View in iTunes |

93 | CAPTIONED: What is logarithmic differentiation? - Week 5 - Lecture 7 | -- | 4:20 | Free | View in iTunes |

94 | CAPTIONED: What does the sign of the second derivative encode? - Week 4 - Lecture 7 | -- | 4:22 | Free | View in iTunes |

95 | CAPTIONED: What is the accumulation function for sqrt(1-x^2)? - Week 12 - Lecture 7 | -- | 8:34 | Free | View in iTunes |

96 | CAPTIONED: What is the volume of a thin shell? - Week 15 - Lecture 6 | -- | 7:44 | Free | View in iTunes |

97 | CAPTIONED: What are inverse trigonometric functions? - Week 6 - Lecture 7 | -- | 4:27 | Free | View in iTunes |

98 | CAPTIONED: What is the meaning of the derivative of the derivative? - Week 4 - Lecture 6 | -- | 10:59 | Free | View in iTunes |

99 | CAPTIONED: How fast does the ladder slide down the building? - Week 7 - Lecture 7 | -- | 3:46 | Free | View in iTunes |

100 | CAPTIONED: How can I approximate the area of a curved region? - Week 11 - Lecture 7 | -- | 9:52 | Free | View in iTunes |

101 | CAPTIONED: How difficult is factoring compared to multiplying? - Week 10 - Lecture 7 | -- | 5:26 | Free | View in iTunes |

102 | CAPTIONED: What is the domain of square root? - Week 1 - Lecture 5 | -- | 15:52 | Free | View in iTunes |

103 | CAPTIONED: What is the derivative of sin(x²)? - Week 6 - Lecture 6 | -- | 4:31 | Free | View in iTunes |

104 | CAPTIONED: What is the derivative of log? - Week 5 - Lecture 6 | -- | 6:51 | Free | View in iTunes |

105 | CAPTIONED: What does area even mean? - Week 11 - Lecture 6 | -- | 7:05 | Free | View in iTunes |

106 | CAPTIONED: What is the limit of (x² - 1)/(x-1)? - Week 1 - Lecture 6 | -- | 8:44 | Free | View in iTunes |

107 | CAPTIONED: What is the integral of (x+10)(x-1)^10 dx from x = 0 to x = 1? - Week 13 - Lecture 6 | -- | 5:31 | Free | View in iTunes |

108 | CAPTIONED: What is the area between the graphs of y = x^2 and y = 1 - x^2? - Week 12 - Lecture 6 | -- | 6:25 | Free | View in iTunes |

109 | CAPTIONED: What is Newton's method? - Week 9 - Lecture 6 | -- | 9:50 | Free | View in iTunes |

110 | CAPTIONED: What is the integral of dx / (x^2 + 4x + 7)? - Week 13 - Lecture 5 | -- | 8:59 | Free | View in iTunes |

111 | CAPTIONED: What is an antiderivative of sin^(2n+1) x cos^(2n) x dx? - Week 14 - Lecture 6 | -- | 5:46 | Free | View in iTunes |

112 | CAPTIONED: What information is recorded in the sign of the derivative? - Week 3 - Lecture 6 | -- | 4:08 | Free | View in iTunes |

113 | CAPTIONED: What does lim f(x) = infinity mean? - Week 2 - Lecture 6 | -- | 5:20 | Free | View in iTunes |

114 | CAPTIONED: How fast does the shadow move? - Week 7 - Lecture 6 | -- | 5:06 | Free | View in iTunes |

115 | CAPTIONED: What are antiderivatives of e^x and natural log? - Week 10 - Lecture 6 | -- | 2:40 | Free | View in iTunes |

116 | CAPTIONED: Why is there an x so that f(x) = x? - Week 2 - Lecture 5 | -- | 5:07 | Free | View in iTunes |

117 | CAPTIONED: How large can xy be if x + y = 24? - Week 8 - Lecture 6 | -- | 5:38 | Free | View in iTunes |

118 | CAPTIONED: What is the sum of the first k perfect cubes? - Week 11 - Lecture 5 | -- | 5:53 | Free | View in iTunes |

119 | CAPTIONED: Why is √9999 so close to 99.995? - Week 3 - Lecture 5 | -- | 5:39 | Free | View in iTunes |

120 | CAPTIONED: What does dx mean by itself? - Week 9 - Lecture 5 | -- | 5:34 | Free | View in iTunes |

121 | CAPTIONED: What is the area between the graphs of y = sqrt(x) and y = x^2? - Week 12 - Lecture 5 | -- | 6:22 | Free | View in iTunes |

122 | CAPTIONED: What are antiderivatives of trigonometric functions? - Week 10 - Lecture 5 | -- | 5:40 | Free | View in iTunes |

123 | CAPTIONED: How does the derivative of the inverse relate to the original? - Week 5 - Lecture 5 | -- | 10:16 | Free | View in iTunes |

124 | CAPTIONED: What is an antiderivative of e^(sqrt(x))? - Week 14 - Lecture 5 | -- | 3:20 | Free | View in iTunes |

125 | CAPTIONED: What does a car sound like as it drives past? - Week 7 - Lecture 5 | -- | 3:52 | Free | View in iTunes |

126 | CAPTIONED: What are the derivatives of the other trigonometric functions? - Week 6 - Lecture 5 | -- | 5:30 | Free | View in iTunes |

127 | CAPTIONED: How can you build the best fence for your sheep? - Week 8 - Lecture 5 | -- | 8:45 | Free | View in iTunes |

128 | CAPTIONED: How do washers help to compute the volume of a solid of revolution? - Week 15 - Lecture 5 | -- | 5:14 | Free | View in iTunes |

129 | CAPTIONED: Why is log 3 base 2 approximately 19/12? - Week 9 - Lecture 4 | -- | 10:17 | Free | View in iTunes |

130 | CAPTIONED: What is the sum of the first k perfect squares? - Week 11 - Lecture 4 | -- | 6:42 | Free | View in iTunes |

131 | CAPTIONED: Why bother considering where the function is not differentiable? - Week 8 - Lecture 4 | -- | 7:12 | Free | View in iTunes |

132 | CAPTIONED: How can I remember the quotient rule? - Week 4 - Lecture 5 | -- | 5:52 | Free | View in iTunes |

133 | CAPTIONED: What is the volume of a sphere? - Week 15 - Lecture 4 | -- | 5:59 | Free | View in iTunes |

134 | CAPTIONED: What is the most general antiderivative of 1/x? - Week 10 - Lecture 4 | -- | 4:09 | Free | View in iTunes |

135 | CAPTIONED: What is the quotient rule? - Week 4 - Lecture 4 | -- | 4:05 | Free | View in iTunes |

136 | CAPTIONED: What is the folium of Descartes? - Week 5 - Lecture 4 | -- | 4:36 | Free | View in iTunes |

137 | CAPTIONED: What is the derivative of tan x? - Week 6 - Lecture 4 | -- | 9:20 | Free | View in iTunes |

138 | CAPTIONED: What is the integral of x^4 dx from x = 0 to x = 1? - Week 12 - Lecture 4 | -- | 4:10 | Free | View in iTunes |

139 | CAPTIONED: What is an antiderivative of e^x cos x? - Week 14 - Lecture 4 | -- | 6:08 | Free | View in iTunes |

140 | CAPTIONED: What are some real-world examples of functions? - Week 1 - Lecture 4 | -- | 6:51 | Free | View in iTunes |

141 | CAPTIONED: How can I approximate root two? - Week 2 - Lecture 4 | -- | 10:15 | Free | View in iTunes |

142 | CAPTIONED: Might I want to do u-substitution more than once? - Week 13 - Lecture 4 | -- | 4:18 | Free | View in iTunes |

143 | CAPTIONED: How long until the gray goo destroys Earth? - Week 7 - Lecture 4 | -- | 3:42 | Free | View in iTunes |

144 | CAPTIONED: Why do we have to bother checking the endpoints? - Week 8 - Lecture 3 | -- | 4:11 | Free | View in iTunes |

145 | CAPTIONED: How does wiggling x affect f(x)? - Week 3 - Lecture 4 | -- | 3:25 | Free | View in iTunes |

146 | CAPTIONED: Why shouldn't I fall in love with l'Hôpital? - Week 7 - Lecture 3 | -- | 8:10 | Free | View in iTunes |

147 | CAPTIONED: How should I handle the endpoints when doing u-substitution? - Week 13 - Lecture 3 | -- | 5:08 | Free | View in iTunes |

148 | CAPTIONED: What is the derivative of sine and cosine? - Week 6 - Lecture 3 | -- | 9:59 | Free | View in iTunes |

149 | CAPTIONED: Why is the absolute value function not differentiable? - Week 3 - Lecture 3 | -- | 2:34 | Free | View in iTunes |

150 | CAPTIONED: What is the sum of the first k odd numbers? - Week 11 - Lecture 3 | -- | 4:10 | Free | View in iTunes |

151 | CAPTIONED: What is the intermediate value theorem? - Week 2 - Lecture 3 | -- | 2:19 | Free | View in iTunes |

152 | CAPTIONED: What is the integral of sin x dx from x = 0 to x = pi? - Week 12 - Lecture 3 | -- | 3:28 | Free | View in iTunes |

153 | CAPTIONED: When I do u-substitution, what should u be? - Week 13 - Lecture 2 | -- | 7:05 | Free | View in iTunes |

154 | CAPTIONED: What is implicit differentiation? - Week 5 - Lecture 3 | -- | 5:29 | Free | View in iTunes |

155 | CAPTIONED: How does one justify the product rule? - Week 4 - Lecture 3 | -- | 6:05 | Free | View in iTunes |

156 | CAPTIONED: What is an antiderivative for x^n? - Week 10 - Lecture 3 | -- | 7:32 | Free | View in iTunes |

157 | CAPTIONED: What happens if I repeat linear approximation? - Week 9 - Lecture 3 | -- | 10:28 | Free | View in iTunes |

158 | CAPTIONED: What does volume even mean? - Week 15 - Lecture 3 | -- | 4:42 | Free | View in iTunes |

159 | CAPTIONED: How can I use the fundamental theorem of calculus to integrate? - Week 12 - Lecture 2 | -- | 6:02 | Free | View in iTunes |

160 | CAPTIONED: Why are there these other trigonometric functions? - Week 6 - Lecture 2 | -- | 4:44 | Free | View in iTunes |

161 | CAPTIONED: How does parts help when antidifferentiating log x? - Week 14 - Lecture 3 | -- | 1:58 | Free | View in iTunes |

162 | CAPTIONED: When should I use horizontal as opposed to vertical pieces? - Week 15 - Lecture 2 | -- | 5:41 | Free | View in iTunes |

163 | CAPTIONED: How can more functions be made? - Week 1 - Lecture 3 | -- | 3:21 | Free | View in iTunes |

164 | CAPTIONED: What is the antiderivative of a sum? - Week 10 - Lecture 2 | -- | 3:38 | Free | View in iTunes |

165 | CAPTIONED: What does continuous mean? - Week 2 - Lecture 2 | -- | 4:56 | Free | View in iTunes |

166 | CAPTIONED: When are two functions the same? - Week 1 - Lecture 2 | -- | 5:53 | Free | View in iTunes |

167 | CAPTIONED: What is the volume of an orange rind? - Week 9 - Lecture 2 | -- | 6:36 | Free | View in iTunes |

168 | CAPTIONED: What is the sum 1 + 2 + ... + k? - Week 11 - Lecture 2 | -- | 6:06 | Free | View in iTunes |

169 | CAPTIONED: What is the derivative of (1+2x)⁵ and √(x² + 0.0001)? - Week 5 - Lecture 2 | -- | 6:59 | Free | View in iTunes |

170 | CAPTIONED: What is an antiderivative of x e^x? - Week 14 - Lecture 2 | -- | 4:08 | Free | View in iTunes |

171 | CAPTIONED: What is a tangent line? - Week 3 - Lecture 2 | -- | 3:23 | Free | View in iTunes |

172 | CAPTIONED: What is the extreme value theorem? - Week 8 - Lecture 1 | -- | 8:52 | Free | View in iTunes |

173 | CAPTIONED: Morally, why is the product rule true? - Week 4 - Lecture 2 | -- | 6:11 | Free | View in iTunes |

174 | CAPTIONED: How do I find the maximum and minimum values of f on a given domain? - Week 8 - Lecture 2 | -- | 9:01 | Free | View in iTunes |

175 | CAPTIONED: How can l'Hôpital help with limits not of the form 0/0? - Week 7 - Lecture 2 | -- | 14:38 | Free | View in iTunes |

176 | CAPTIONED: How do I find the maximum and minimum values of f on a given domain? - Week 8 - Lecture 2 | -- | 9:01 | Free | View in iTunes |

177 | CAPTIONED: Where does f(x+h) = f(x) + h f'(x) come from? - Week 9 - Lecture 1 | -- | 5:54 | Free | View in iTunes |

178 | CAPTIONED: What is the fundamental theorem of calculus? - Week 12 - Lecture 1 | -- | 5:27 | Free | View in iTunes |

179 | CAPTIONED: Why does trigonometry work? - Week 6 - Lecture 1 | -- | 3:07 | Free | View in iTunes |

180 | CAPTIONED: How do we handle the fact that there are many antiderivatives? - Week 10 - Lecture 1 | -- | 5:21 | Free | View in iTunes |

181 | CAPTIONED: What is the definition of derivative? - Week 3 - Lecture 1 | -- | 6:30 | Free | View in iTunes |

182 | CAPTIONED: What is the chain rule? - Week 5 - Lecture 1 | -- | 10:27 | Free | View in iTunes |

183 | CAPTIONED: What is a function? - Week 1 - Lecture 1 | -- | 11:14 | Free | View in iTunes |

184 | CAPTIONED: What is the derivative of f(x) g(x)? - Week 4 - Lecture 1 | -- | 6:42 | Free | View in iTunes |

185 | CAPTIONED: What is a one-sided limit? - Week 2 - Lecture 1 | -- | 3:41 | Free | View in iTunes |

186 | CAPTIONED: What happens when I use thin horizontal rectangles to compute area? - Week 15 - Lecture 1 | -- | 6:33 | Free | View in iTunes |

187 | CAPTIONED: How does the chain rule help with antidifferentiation? - Week 13 - Lecture 1 | -- | 5:27 | Free | View in iTunes |

188 | CAPTIONED: How can I write sums using a big Sigma? - Week 11 - Lecture 1 | -- | 5:06 | Free | View in iTunes |

189 | CAPTIONED: What antidifferentiation rule is the product rule in reverse? - Week 14 - Lecture 1 | -- | 5:00 | Free | View in iTunes |

190 | CAPTIONED: How can derivatives help us to compute limits? - Week 7 - Lecture 1 | -- | 9:21 | Free | View in iTunes |

191 | Instructor Information | -- | -- | Free | View in iTunes |

192 | Who will help me? - Week 1 Introduction | -- | 1:47 | Free | View in iTunes |

193 | MOOCulus Course Website | -- | -- | Free | View in iTunes |

194 | Functions? What is a function? | -- | -- | Free | View in iTunes |

195 | What is a function? - Week 1 - Lecture 1 | -- | 11:19 | Free | View in iTunes |

196 | When are two functions the same? - Week 1 - Lecture 2 | -- | 5:54 | Free | View in iTunes |

197 | How can more functions be made? - Week 1 - Lecture 3 | -- | 3:21 | Free | View in iTunes |

198 | What are some real-world examples of functions? - Week 1 - Lecture 4 | -- | 6:56 | Free | View in iTunes |

199 | What is the domain of square root? - Week 1 - Lecture 5 | -- | 15:52 | Free | View in iTunes |

200 | Limits? What's a limit? | -- | -- | Free | View in iTunes |

201 | What is the limit of (x² - 1)/(x-1)? - Week 1 - Lecture 6 | -- | 8:44 | Free | View in iTunes |

202 | What is the limit of (sin x)/x? - Week 1 - Lecture 7 | -- | 6:11 | Free | View in iTunes |

203 | What is the limit of sin (1/x)? - Week 1 - Lecture 8 | -- | 8:17 | Free | View in iTunes |

204 | Morally, what is the limit of a sum? - Week 1 - Lecture 9 | -- | 6:15 | Free | View in iTunes |

205 | What is the limit of a product? - Week 1 - Lecture 10 | -- | 2:14 | Free | View in iTunes |

206 | What is the limit of a quotient? - Week 1 - Lecture 11 | -- | 9:17 | Free | View in iTunes |

207 | How fast does a ball move? - Week 1 - Lecture 12 | -- | 16:43 | Free | View in iTunes |

208 | MOOCulus Calculus | -- | -- | Free | View in iTunes |

209 | Where are we in the course? - Week 2 Introduction | -- | 1:21 | Free | View in iTunes |

210 | What is a one-sided limit? - Week 2 - Lecture 1 | -- | 3:46 | Free | View in iTunes |

211 | What is the official definition of limit? - Week 2 - Lecture 12 | -- | 3:34 | Free | View in iTunes |

212 | Continuity? What does "continuous" mean? | -- | -- | Free | View in iTunes |

213 | What does continuous mean? - Week 2 - Lecture 2 | -- | 5:01 | Free | View in iTunes |

214 | What is the intermediate value theorem? - Week 2 - Lecture 3 | -- | 2:24 | Free | View in iTunes |

215 | How can I approximate root two? - Week 2 - Lecture 4 | -- | 10:20 | Free | View in iTunes |

216 | Why is there an x so that f(x) = x? - Week 2 - Lecture 5 | -- | 5:12 | Free | View in iTunes |

217 | What does lim f(x) = infinity mean? - Week 2 - Lecture 6 | -- | 5:25 | Free | View in iTunes |

218 | What is the limit f(x) as x approaches infinity? - Week 2 - Lecture 7 | -- | 4:43 | Free | View in iTunes |

219 | Why is infinity not a number? - Week 2 - Lecture 8 | -- | 6:21 | Free | View in iTunes |

220 | What is the difference between potential and actual infinity? - Week 2 - Lecture 9 | -- | 2:45 | Free | View in iTunes |

221 | Slope? | -- | -- | Free | View in iTunes |

222 | What is the slope of a staircase? - Week 2 - Lecture 10 | -- | 6:51 | Free | View in iTunes |

223 | How fast does water drip from a faucet? - Week 2 - Lecture 11 | -- | 5:17 | Free | View in iTunes |

224 | Why is the limit of x² as x approaches 2 equal to 4? - Week 2 - Lecture 13 | -- | 4:58 | Free | View in iTunes |

225 | Why is the limit of 2x as x approaches 10 equal to 20? - Week 2 - Lecture 14 | -- | 2:17 | Free | View in iTunes |

226 | What comes next? Derivatives? - Week 3 Introduction | -- | 1:36 | Free | View in iTunes |

227 | What are derivatives? | -- | -- | Free | View in iTunes |

228 | What is the definition of derivative? - Week 3 - Lecture 1 | -- | 6:34 | Free | View in iTunes |

229 | What is a tangent line? - Week 3 - Lecture 2 | -- | 3:28 | Free | View in iTunes |

230 | How does wiggling x affect f(x)? - Week 3 - Lecture 4 | -- | 3:29 | Free | View in iTunes |

231 | Why would I care to find the derivative? | -- | -- | Free | View in iTunes |

232 | Why is √9999 so close to 99.995? - Week 3 - Lecture 5 | -- | 5:43 | Free | View in iTunes |

233 | What information is recorded in the sign of the derivative? - Week 3 - Lecture 6 | -- | 4:12 | Free | View in iTunes |

234 | How do differentiability and continuity relate? | -- | -- | Free | View in iTunes |

235 | Why is the absolute value function not differentiable? - Week 3 - Lecture 3 | -- | 2:38 | Free | View in iTunes |

236 | Why is a differentiable function necessarily continuous? - Week 3 - Lecture 7 | -- | 6:00 | Free | View in iTunes |

237 | What is the derivative of a constant multiple of f(x)? - Week 3 - Lecture 8 | -- | 4:52 | Free | View in iTunes |

238 | Why is the derivative of x² equal to 2x? - Week 3 - Lecture 9 | -- | 12:20 | Free | View in iTunes |

239 | What is the derivative of xⁿ? - Week 3 - Lecture 10 | -- | 7:31 | Free | View in iTunes |

240 | What is the derivative of x³ + x²? - Week 3 - Lecture 11 | -- | 5:07 | Free | View in iTunes |

241 | Why is the derivative of a sum the sum of derivatives? - Week 3 - Lecture 12 | -- | 4:47 | Free | View in iTunes |

242 | What will Week 4 bring us? - Week 4 Introduction | -- | 1:17 | Free | View in iTunes |

243 | How do I differentiate a product? | -- | -- | Free | View in iTunes |

244 | What is the derivative of f(x) g(x)? - Week 4 - Lecture 1 | -- | 6:46 | Free | View in iTunes |

245 | Morally, why is the product rule true? - Week 4 - Lecture 2 | -- | 6:16 | Free | View in iTunes |

246 | How does one justify the product rule? - Week 4 - Lecture 3 | -- | 6:08 | Free | View in iTunes |

247 | How do I differentiate a quotient? | -- | -- | Free | View in iTunes |

248 | What is the quotient rule? - Week 4 - Lecture 4 | -- | 4:09 | Free | View in iTunes |

249 | How can I remember the quotient rule? - Week 4 - Lecture 5 | -- | 5:56 | Free | View in iTunes |

250 | Higher Derivatives? | -- | -- | Free | View in iTunes |

251 | What is the meaning of the derivative of the derivative? - Week 4 - Lecture 6 | -- | 10:59 | Free | View in iTunes |

252 | What does the sign of the second derivative encode? - Week 4 - Lecture 7 | -- | 4:25 | Free | View in iTunes |

253 | What does d/dx mean by itself? - Week 4 - Lecture 8 | -- | 4:05 | Free | View in iTunes |

254 | How can I sketch a graph without a computer? | -- | -- | Free | View in iTunes |

255 | What are extreme values? - Week 4 - Lecture 9 | -- | 7:23 | Free | View in iTunes |

256 | How can I find extreme values? - Week 4 - Lecture 10 | -- | 9:50 | Free | View in iTunes |

257 | Do all local minimums look basically the same when you zoom in? - Week 4 - Lecture 11 | -- | 3:50 | Free | View in iTunes |

258 | How can I sketch a graph by hand? - Week 4 - Lecture 12 | -- | 7:23 | Free | View in iTunes |

259 | What is a function which is its own derivative? | -- | -- | Free | View in iTunes |

260 | What is a function which is its own derivative? - Week 4 - Lecture 13 | -- | 8:57 | Free | View in iTunes |

261 | Is there anything more to learn about derivatives? - Week 5 Introduction | -- | 0:56 | Free | View in iTunes |

262 | How do I differentiate the composition of two functions? | -- | -- | Free | View in iTunes |

263 | What is the chain rule? - Week 5 - Lecture 1 | -- | 10:27 | Free | View in iTunes |

264 | What is the derivative of (1+2x)⁵ and √(x² + 0.0001)? - Week 5 - Lecture 2 | -- | 6:59 | Free | View in iTunes |

265 | How do I find the tangent line to a curve? | -- | -- | Free | View in iTunes |

266 | What is implicit differentiation? - Week 5 - Lecture 3 | -- | 5:29 | Free | View in iTunes |

267 | What is the folium of Descartes? - Week 5 - Lecture 4 | -- | 4:36 | Free | View in iTunes |

268 | How do I find the derivative of an inverse function? | -- | -- | Free | View in iTunes |

269 | How does the derivative of the inverse relate to the original? - Week 5 - Lecture 5 | -- | 10:16 | Free | View in iTunes |

270 | What is the derivative of log? - Week 5 - Lecture 6 | -- | 6:51 | Free | View in iTunes |

271 | What is logarithmic differentiation? - Week 5 - Lecture 7 | -- | 4:20 | Free | View in iTunes |

272 | How can I multiply quickly? | -- | -- | Free | View in iTunes |

273 | How can we multiply quickly? - Week 5 - Lecture 8 | -- | 8:48 | Free | View in iTunes |

274 | Table of quatersquares | -- | -- | Free | View in iTunes |

275 | Table of logarithms | -- | -- | Free | View in iTunes |

276 | Slide rule | -- | -- | Free | View in iTunes |

277 | How do I justify the derivative rules? | -- | -- | Free | View in iTunes |

278 | How do we justify the power rule? - Week 5 - Lecture 9 | -- | 11:13 | Free | View in iTunes |

279 | How can logarithms help to prove the product rule? - Week 5 - Lecture 10 | -- | 3:23 | Free | View in iTunes |

280 | How do we prove the quotient rule? - Week 5 - Lecture 11 | -- | 4:57 | Free | View in iTunes |

281 | How does one prove the chain rule? - Week 5 - Lecture 12 | -- | 6:43 | Free | View in iTunes |

282 | What are transcendental functions? - Week 6 Introduction | -- | 1:59 | Free | View in iTunes |

283 | What is trigonometry? | -- | -- | Free | View in iTunes |

284 | Why does trigonometry work? - Week 6 - Lecture 1 | -- | 3:12 | Free | View in iTunes |

285 | How can I differentiate trig functions? | -- | -- | Free | View in iTunes |

286 | Why are there these other trigonometric functions? - Week 6 - Lecture 2 | -- | 4:48 | Free | View in iTunes |

287 | What is the derivative of sine and cosine? - Week 6 - Lecture 3 | -- | 10:04 | Free | View in iTunes |

288 | What is the derivative of tan x? - Week 6 - Lecture 4 | -- | 9:25 | Free | View in iTunes |

289 | What are the derivatives of the other trigonometric functions? - Week 6 - Lecture 5 | -- | 5:35 | Free | View in iTunes |

290 | What is the derivative of sin(x²)? - Week 6 - Lecture 6 | -- | 4:36 | Free | View in iTunes |

291 | How can I differentiate inverse trig functions? | -- | -- | Free | View in iTunes |

292 | What are inverse trigonometric functions? - Week 6 - Lecture 7 | -- | 4:32 | Free | View in iTunes |

293 | What are the derivatives of inverse trig functions? - Week 6 - Lecture 8 | -- | 10:29 | Free | View in iTunes |

294 | What can we learn from the derivatives? | -- | -- | Free | View in iTunes |

295 | Why do sine and cosine oscillate? - Week 6 - Lecture 9 | -- | 4:39 | Free | View in iTunes |

296 | How can we get a formula for sin(a+b)? - Week 6 - Lecture 10 | -- | 4:15 | Free | View in iTunes |

297 | How can I approximate sin 1? - Week 6 - Lecture 11 | -- | 3:25 | Free | View in iTunes |

298 | Slide rules return! | -- | -- | Free | View in iTunes |

299 | How can we multiply numbers with trigonometry? - Week 6 - Lecture 12 | -- | 4:11 | Free | View in iTunes |

300 | Table of cosine | -- | -- | Free | View in iTunes |

301 | Table of inverse cosine | -- | -- | Free | View in iTunes |

302 | What applications of the derivative will we do this week? - Week 7 Introduction | -- | 1:22 | Free | View in iTunes |

303 | How do derivatives help with limits? | -- | -- | Free | View in iTunes |

304 | How can derivatives help us to compute limits? - Week 7 - Lecture 1 | -- | 9:56 | Free | View in iTunes |

305 | How can l'Hôpital help with limits not of the form 0/0? - Week 7 - Lecture 2 | -- | 14:42 | Free | View in iTunes |

306 | Why shouldn't I fall in love with l'Hôpital? - Week 7 - Lecture 3 | -- | 8:15 | Free | View in iTunes |

307 | How do derivatives help me understand rates of change in the real world? | -- | -- | Free | View in iTunes |

308 | How long until the gray goo destroys Earth? - Week 7 - Lecture 4 | -- | 3:45 | Free | View in iTunes |

309 | What does a car sound like as it drives past? - Week 7 - Lecture 5 | -- | 3:54 | Free | View in iTunes |

310 | How do derivatives help me understand how two rates of changes are related? | -- | -- | Free | View in iTunes |

311 | How fast does the shadow move? - Week 7 - Lecture 6 | -- | 5:11 | Free | View in iTunes |

312 | How fast does the ladder slide down the building? - Week 7 - Lecture 7 | -- | 3:51 | Free | View in iTunes |

313 | How quickly does a bowl fill with green water? - Week 7 - Lecture 8 | -- | 4:06 | Free | View in iTunes |

314 | How quickly does the water level rise in a cone? - Week 7 - Lecture 9 | -- | 6:58 | Free | View in iTunes |

315 | How quickly does a balloon fill with air? - Week 7 - Lecture 10 | -- | 3:45 | Free | View in iTunes |

316 | What sorts of optimization problems will calculus help us solve? - Week 8 Introduction | -- | 1:39 | Free | View in iTunes |

317 | Is optimization even possible? | -- | -- | Free | View in iTunes |

318 | What is the extreme value theorem? - Week 8 - Lecture 1 | -- | 8:57 | Free | View in iTunes |

319 | Okay, so if optimization is possible, how do I do it? | -- | -- | Free | View in iTunes |

320 | How do I find the maximum and minimum values of f on a given domain? - Week 8 - Lecture 2 | -- | 9:06 | Free | View in iTunes |

321 | How do I find the maximum and minimum values of f on a given domain? - Week 8 - Lecture 2 | -- | 9:06 | Free | View in iTunes |

322 | Why do we have to bother checking the endpoints? - Week 8 - Lecture 3 | -- | 4:15 | Free | View in iTunes |

323 | Why bother considering where the function is not differentiable? - Week 8 - Lecture 4 | -- | 7:17 | Free | View in iTunes |

324 | Why would I want to optimize a function? | -- | -- | Free | View in iTunes |

325 | How can you build the best fence for your sheep? - Week 8 - Lecture 5 | -- | 8:49 | Free | View in iTunes |

326 | How large can xy be if x + y = 24? - Week 8 - Lecture 6 | -- | 5:42 | Free | View in iTunes |

327 | How do you design the best soup can? - Week 8 - Lecture 7 | -- | 10:32 | Free | View in iTunes |

328 | Where do three bubbles meet? - Week 8 - Lecture 8 | -- | 12:45 | Free | View in iTunes |

329 | How large of an object can you carry around a corner? - Week 8 - Lecture 9 | -- | 10:32 | Free | View in iTunes |

330 | How short of a ladder will clear a fence? - Week 8 - Lecture 10 | -- | 4:03 | Free | View in iTunes |

331 | hallway-corner | -- | -- | Free | View in iTunes |

332 | What is up with all the numerical analysis this week? - Week 9 Introduction | -- | 1:34 | Free | View in iTunes |

333 | What is linear approximation? | -- | -- | Free | View in iTunes |

334 | Where does f(x+h) = f(x) + h f'(x) come from? - Week 9 - Lecture 1 | -- | 5:59 | Free | View in iTunes |

335 | What is the volume of an orange rind? - Week 9 - Lecture 2 | -- | 6:41 | Free | View in iTunes |

336 | What happens if I repeat linear approximation? | -- | -- | Free | View in iTunes |

337 | What happens if I repeat linear approximation? - Week 9 - Lecture 3 | -- | 10:33 | Free | View in iTunes |

338 | Why is log 3 base 2 approximately 19/12? - Week 9 - Lecture 4 | -- | 10:35 | Free | View in iTunes |

339 | What does dx mean by itself? | -- | -- | Free | View in iTunes |

340 | What does dx mean by itself? - Week 9 - Lecture 5 | -- | 5:38 | Free | View in iTunes |

341 | What is Newton's method? | -- | -- | Free | View in iTunes |

342 | What is Newton's method? - Week 9 - Lecture 6 | -- | 9:55 | Free | View in iTunes |

343 | What is a root of the polynomial x^5 + x^2 - 1? - Week 9 - Lecture 7 | -- | 6:55 | Free | View in iTunes |

344 | How can Newton's method help me to divide quickly? - Week 9 - Lecture 8 | -- | 7:25 | Free | View in iTunes |

345 | What is the mean value theorem? | -- | -- | Free | View in iTunes |

346 | What is the mean value theorem? - Week 9 - Lecture 9 | -- | 6:49 | Free | View in iTunes |

347 | Why does f'(x) positive imply that f is increasing? - Week 9 - Lecture 10 | -- | 5:10 | Free | View in iTunes |

348 | Should I bother to find the point c in the mean value theorem? - Week 9 - Lecture 11 | -- | 4:27 | Free | View in iTunes |

349 | What does it mean to antidifferentiate? - Week 10 Introduction | -- | 2:20 | Free | View in iTunes |

350 | But there are so many antiderivatives! | -- | -- | Free | View in iTunes |

351 | How do we handle the fact that there are many antiderivatives? - Week 10 - Lecture 1 | -- | 5:21 | Free | View in iTunes |

352 | How am I supposed to compute antiderivatives? | -- | -- | Free | View in iTunes |

353 | What is the antiderivative of a sum? - Week 10 - Lecture 2 | -- | 3:43 | Free | View in iTunes |

354 | What is an antiderivative for x^n? - Week 10 - Lecture 3 | -- | 7:32 | Free | View in iTunes |

355 | What is the most general antiderivative of 1/x? - Week 10 - Lecture 4 | -- | 4:14 | Free | View in iTunes |

356 | What are antiderivatives of trigonometric functions? - Week 10 - Lecture 5 | -- | 5:44 | Free | View in iTunes |

357 | What are antiderivatives of e^x and natural log? - Week 10 - Lecture 6 | -- | 2:45 | Free | View in iTunes |

358 | This is so hard! | -- | -- | Free | View in iTunes |

359 | How difficult is factoring compared to multiplying? - Week 10 - Lecture 7 | -- | 5:30 | Free | View in iTunes |

360 | What is an antiderivative for e^(-x^2)? - Week 10 - Lecture 8 | -- | 4:49 | Free | View in iTunes |

361 | What is the antiderivative of f(mx+b)? - Week 10 - Lecture 9 | -- | 5:19 | Free | View in iTunes |

362 | Why would anyone want to do this? | -- | -- | Free | View in iTunes |

363 | Knowing my velocity, what is my position? - Week 10 - Lecture 10 | -- | 3:17 | Free | View in iTunes |

364 | Knowing my acceleration, what is my position? - Week 10 - Lecture 11 | -- | 4:24 | Free | View in iTunes |

365 | What is the antiderivative of sine squared? - Week 10 - Lecture 12 | -- | 3:16 | Free | View in iTunes |

366 | What is a slope field? - Week 10 - Lecture 13 | -- | 4:56 | Free | View in iTunes |

367 | If we are not differentiating, what are we going to do? - Week 11 Introduction | -- | 2:57 | Free | View in iTunes |

368 | What is summation notation? | -- | -- | Free | View in iTunes |

369 | How can I write sums using a big Sigma? - Week 11 - Lecture 1 | -- | 5:10 | Free | View in iTunes |

370 | What is the sum 1 + 2 + ... + k? - Week 11 - Lecture 2 | -- | 6:11 | Free | View in iTunes |

371 | What is the sum of the first k odd numbers? - Week 11 - Lecture 3 | -- | 4:15 | Free | View in iTunes |

372 | What is the sum of the first k perfect squares? - Week 11 - Lecture 4 | -- | 6:47 | Free | View in iTunes |

373 | What is the sum of the first k perfect cubes? - Week 11 - Lecture 5 | -- | 5:57 | Free | View in iTunes |

374 | What is area? | -- | -- | Free | View in iTunes |

375 | What does area even mean? - Week 11 - Lecture 6 | -- | 7:09 | Free | View in iTunes |

376 | So how do we make this precise? | -- | -- | Free | View in iTunes |

377 | How can I approximate the area of a curved region? - Week 11 - Lecture 7 | -- | 9:52 | Free | View in iTunes |

378 | What is the definition of the integral of f(x) from x = a to b? - Week 11 - Lecture 8 | -- | 5:44 | Free | View in iTunes |

379 | Can we compute any of these integrals? | -- | -- | Free | View in iTunes |

380 | What is the integral of x^2 from x = 0 to 1? - Week 11 - Lecture 9 | -- | 8:09 | Free | View in iTunes |

381 | What is the integral of x^3 from x = 1 to 2? - Week 11 - Lecture 10 | -- | 8:36 | Free | View in iTunes |

382 | Can we understand anything conceptually about integrals? | -- | -- | Free | View in iTunes |

383 | When is the accumulation function increasing? Decreasing? - Week 11 - Lecture 11 | -- | 4:44 | Free | View in iTunes |

384 | What sorts of properties does the integral satisfy? - Week 11 - Lecture 12 | -- | 4:42 | Free | View in iTunes |

385 | Can we compute any other integrals? | -- | -- | Free | View in iTunes |

386 | What is the integral of sin x dx from -1 to 1? - Week 11 - Lecture 13 | -- | 3:15 | Free | View in iTunes |

387 | What is the big deal about the fundamental theorem of calculus? - Week 12 Introduction | -- | 2:13 | Free | View in iTunes |

388 | What is the fundamental theorem of calculus? | -- | -- | Free | View in iTunes |

389 | What is the fundamental theorem of calculus? - Week 12 - Lecture 1 | -- | 5:32 | Free | View in iTunes |

390 | How am I supposed to use the fundamental theorem? | -- | -- | Free | View in iTunes |

391 | How can I use the fundamental theorem of calculus to integrate? - Week 12 - Lecture 2 | -- | 6:07 | Free | View in iTunes |

392 | What is the integral of sin x dx from x = 0 to x = pi? - Week 12 - Lecture 3 | -- | 3:32 | Free | View in iTunes |

393 | What is the integral of x^4 dx from x = 0 to x = 1? - Week 12 - Lecture 4 | -- | 4:15 | Free | View in iTunes |

394 | What else can we compute this way? | -- | -- | Free | View in iTunes |

395 | What is the area between the graphs of y = sqrt(x) and y = x^2? - Week 12 - Lecture 5 | -- | 6:27 | Free | View in iTunes |

396 | What is the area between the graphs of y = x^2 and y = 1 - x^2? - Week 12 - Lecture 6 | -- | 6:30 | Free | View in iTunes |

397 | What is the accumulation function for sqrt(1-x^2)? - Week 12 - Lecture 7 | -- | 8:39 | Free | View in iTunes |

398 | But why is the fundamental theorem true? | -- | -- | Free | View in iTunes |

399 | Why does the Euler method resemble a Riemann sum? - Week 12 - Lecture 8 | -- | 4:29 | Free | View in iTunes |

400 | In what way is summation like integration? - Week 12 - Lecture 9 | -- | 2:31 | Free | View in iTunes |

401 | What is the sum of n^4 for n = 1 to n = k? - Week 12 - Lecture 10 | -- | 9:24 | Free | View in iTunes |

402 | Physically, why is the fundamental theorem of calculus true? - Week 12 - Lecture 11 | -- | 4:00 | Free | View in iTunes |

403 | What is d/da integral f(x) dx from x = a to x = b? - Week 12 - Lecture 12 | -- | 5:06 | Free | View in iTunes |

404 | How is this course structured? - Week 13 Introduction | -- | 2:15 | Free | View in iTunes |

405 | What is the chain rule backwards? | -- | -- | Free | View in iTunes |

406 | How does the chain rule help with antidifferentiation? - Week 13 - Lecture 1 | -- | 5:31 | Free | View in iTunes |

407 | When I do u-substitution, what should u be? - Week 13 - Lecture 2 | -- | 7:10 | Free | View in iTunes |

408 | How should I handle the endpoints when doing u-substitution? - Week 13 - Lecture 3 | -- | 5:13 | Free | View in iTunes |

409 | Might I want to do u-substitution more than once? - Week 13 - Lecture 4 | -- | 4:22 | Free | View in iTunes |

410 | What are some tricks for doing substitutions? | -- | -- | Free | View in iTunes |

411 | What is the integral of dx / (x^2 + 4x + 7)? - Week 13 - Lecture 5 | -- | 9:04 | Free | View in iTunes |

412 | What is the integral of (x+10)(x-1)^10 dx from x = 0 to x = 1? - Week 13 - Lecture 6 | -- | 5:31 | Free | View in iTunes |

413 | What is the integral of x / (x+1)^(1/3) dx? - Week 13 - Lecture 7 | -- | 3:49 | Free | View in iTunes |

414 | What is the integral of dx / (1 + cos x) ? - Week 13 - Lecture 8 | -- | 4:16 | Free | View in iTunes |

415 | What if I differentiate an accumulation function? | -- | -- | Free | View in iTunes |

416 | What is d/dx integral sin t dt from t = 0 to t = x^2? - Week 13 - Lecture 9 | -- | 3:51 | Free | View in iTunes |

417 | Formally, why is the fundamental theorem of calculus true? - Week 13 - Lecture 10 | -- | 6:13 | Free | View in iTunes |

418 | Without resorting to the FTC, why does substitution work? - Week 13 - Lecture 11 | -- | 3:48 | Free | View in iTunes |

419 | What remains to be done? - Week 14 Introduction | -- | 1:29 | Free | View in iTunes |

420 | What is the product rule backwards? | -- | -- | Free | View in iTunes |

421 | What antidifferentiation rule is the product rule in reverse? - Week 14 - Lecture 1 | -- | 5:05 | Free | View in iTunes |

422 | How do I use integration by parts? | -- | -- | Free | View in iTunes |

423 | What is an antiderivative of x e^x? - Week 14 - Lecture 2 | -- | 4:13 | Free | View in iTunes |

424 | How does parts help when antidifferentiating log x? - Week 14 - Lecture 3 | -- | 2:02 | Free | View in iTunes |

425 | What is an antiderivative of e^x cos x? - Week 14 - Lecture 4 | -- | 6:12 | Free | View in iTunes |

426 | How do I know when to use parts? | -- | -- | Free | View in iTunes |

427 | What is an antiderivative of e^(sqrt(x))? - Week 14 - Lecture 5 | -- | 3:25 | Free | View in iTunes |

428 | How do I integrate powers of sines and cosines? | -- | -- | Free | View in iTunes |

429 | What is an antiderivative of sin^(2n+1) x cos^(2n) x dx? - Week 14 - Lecture 6 | -- | 5:50 | Free | View in iTunes |

430 | What is the integral of sin^(2n) x dx from x = 0 to x = pi? - Week 14 - Lecture 7 | -- | 8:01 | Free | View in iTunes |

431 | What is the integral of sin^n x dx in terms of sin^(n-2) x dx? - Week 14 - Lecture 8 | -- | 11:34 | Free | View in iTunes |

432 | How does long division help? | -- | -- | Free | View in iTunes |

433 | Why is pi less than 22/7? - Week 14 - Lecture 9 | -- | 8:25 | Free | View in iTunes |

434 | What application of integration will we consider? - Week 15 Introduction | -- | 1:45 | Free | View in iTunes |

435 | How else can I calculate area? | -- | -- | Free | View in iTunes |

436 | What happens when I use thin horizontal rectangles to compute area? - Week 15 - Lecture 1 | -- | 6:33 | Free | View in iTunes |

437 | When should I use horizontal as opposed to vertical pieces? - Week 15 - Lecture 2 | -- | 5:46 | Free | View in iTunes |

438 | How can I calculate volume? | -- | -- | Free | View in iTunes |

439 | What does volume even mean? - Week 15 - Lecture 3 | -- | 4:42 | Free | View in iTunes |

440 | What is the volume of a sphere? - Week 15 - Lecture 4 | -- | 6:04 | Free | View in iTunes |

441 | How do washers help to compute the volume of a solid of revolution? - Week 15 - Lecture 5 | -- | 5:14 | Free | View in iTunes |

442 | What is the volume of a thin shell? - Week 15 - Lecture 6 | -- | 7:44 | Free | View in iTunes |

443 | What is the volume of a sphere with a hole drilled in it? - Week 15 - Lecture 7 | -- | 7:33 | Free | View in iTunes |

444 | How can I calculate length? | -- | -- | Free | View in iTunes |

445 | What does length even mean? - Week 15 - Lecture 8 | -- | 4:12 | Free | View in iTunes |

446 | On the graph of y^2 = x^3, what is the length of a certain arc? - Week 15 - Lecture 9 | -- | 4:10 | Free | View in iTunes |

447 | Congratulations | -- | -- | Free | View in iTunes |

448 | This title is missing a question mark. - Week 15 - Lecture 10 | -- | 1:15 | Free | View in iTunes |

448 Items |