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/video/
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1 - 13 - 1.12 How fast does a ball move [1642].mp4
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71.7 MB
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7 - 3 - 7.02 How can lHpital help with limits not of the form 0-0 [1443].mp4
|
63.1 MB
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1 - 6 - 1.05 What is the domain of square root [1556].mp4
|
59.7 MB
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3 - 10 - 3.09 Why is the derivative of x2 equal to 2x [1221].mp4
|
59.5 MB
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8 - 9 - 8.08 Where do three bubbles meet [1245].mp4
|
52.9 MB
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14 - 9 - 14.08 What is the integral of sinn x dx in terms of sin(n-2) x dx [1133].mp4
|
49.1 MB
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5 - 6 - 5.05 How does the derivative of the inverse function relate to the derivative of the original function [1020].mp4
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48.3 MB
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8 - 8 - 8.07 How do you design the best soup can [1032].mp4
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47.9 MB
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5 - 10 - 5.09 How do we justify the power rule [1117].mp4
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46.0 MB
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5 - 2 - 5.01 What is the chain rule [1032].mp4
|
44.4 MB
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6 - 4 - 6.03 What is the derivative of sine and cosine [1004].mp4
|
44.3 MB
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4 - 7 - 4.06 What is the meaning of the derivative of the derivative [1103].mp4
|
44.1 MB
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9 - 5 - 9.04 Why is log 3 base 2 approximately 19-12 [1021].mp4
|
43.5 MB
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13 - 6 - 13.05 What is the integral of dx - (x2 4x 7) [904].mp4
|
42.8 MB
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9 - 7 - 9.06 What is Newtons method [955].mp4
|
42.5 MB
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8 - 10 - 8.09 How large of an object can you carry around a corner [1032].mp4
|
42.2 MB
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1 - 2 - 1.01 What is a function [1119].mp4
|
41.6 MB
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4 - 11 - 4.10 How can I find extreme values [954].mp4
|
40.3 MB
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6 - 5 - 6.04 What is the derivative of tan x [925].mp4
|
40.1 MB
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1 - 12 - 1.11 What is the limit of a quotient [917].mp4
|
39.9 MB
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8 - 6 - 8.05 How can you build the best fence for your sheep [849].mp4
|
39.5 MB
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4 - 14 - 4.13 What is a function which is its own derivative [901].mp4
|
39.1 MB
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9 - 4 - 9.03 What happens if I repeat linear approximation [1033].mp4
|
39.0 MB
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2 - 5 - 2.04 How can I approximate root two [1020].mp4
|
38.6 MB
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14 - 10 - 14.09 Why is pi 22-7 [825].mp4
|
38.2 MB
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15 - 7 - 15.06 What is the volume of a thin shell [748].mp4
|
37.9 MB
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6 - 9 - 6.08 What are the derivatives of inverse trig functions [1026].mp4
|
37.7 MB
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12 - 11 - 12.10 What is the sum of n4 for n 1 to n k [924] .mp4
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37.4 MB
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7 - 2 - 7.01 How can derivatives help us to compute limits [926].mp4
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36.6 MB
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11 - 11 - 11.10 What is the integral of x3 from x 1 to 2 [835].mp4
|
36.3 MB
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11 - 7 - 11.06 What does area even mean [709].mp4
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36.0 MB
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11 - 8 - 11.07 How can I approximate the area of a curved region [957].mp4
|
35.7 MB
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1 - 7 - 1.06 What is the limit of (x2 - 1)-(x-1) [848].mp4
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35.5 MB
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5 - 9 - 5.08 How can we multiply quickly [848].mp4
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35.4 MB
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11 - 10 - 11.09 What is the integral of x2 from x 0 to 1 [808].mp4
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34.8 MB
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7 - 4 - 7.03 Why shouldnt I fall in love with lHpital [814].mp4
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34.6 MB
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9 - 3 - 9.02 What is the volume of an orange rind [640].mp4
|
34.3 MB
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15 - 8 - 15.07 What is the volume of a sphere with a hole drilled in it [737].mp4
|
34.1 MB
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8 - 2 - 8.01 What is the extreme value theorem [856].mp4
|
34.0 MB
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1 - 9 - 1.08 What is the limit of sin (1-x) [817].mp4
|
33.8 MB
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8 - 3 - 8.02 How do I find the maximum and minimum values of f on a given domain [906].mp4
|
33.7 MB
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13 - 3 - 13.02 When I do u-substitution what should u be [709].mp4
|
33.5 MB
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10 - 4 - 10.03 What is an antiderivative for xn [736].mp4
|
32.8 MB
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4 - 2 - 4.01 What is the derivative of f(x) g(x) [646].mp4
|
32.8 MB
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9 - 8 - 9.07 What is a root of the polynomial x5 x2 - 1 [655].mp4
|
32.4 MB
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14 - 8 - 14.07 What is the integral of sin(2n) x dx from x 0 to x pi [801].mp4
|
32.1 MB
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4 - 13 - 4.12 How can I sketch a graph by hand [728].mp4
|
32.0 MB
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4 - 10 - 4.09 What are extreme values [722].mp4
|
31.8 MB
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12 - 8 - 12.07 What is the accumulation function for sqrt(1-x2) [839].mp4
|
31.5 MB
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9 - 10 - 9.09 What is the mean value theorem [651].mp4
|
31.4 MB
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1 - 5 - 1.04 What are some real-world examples of functions [656].mp4
|
30.4 MB
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3 - 8 - 3.07 Why is a differentiable function necessarily continuous [601] .mp4
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30.1 MB
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5 - 7 - 5.06 What is the derivative of log [655].mp4
|
30.0 MB
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12 - 3 - 12.02 How can I use the fundamental theorem of calculus to evaluate integrals [606].mp4
|
29.9 MB
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2 - 9 - 2.08 Why is infinity not a number [621].mp4
|
29.9 MB
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14 - 5 - 14.04 What is an antiderivative of ex cos x [612].mp4
|
29.8 MB
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11 - 3 - 11.02 What is the sum 1 2 ... k [611].mp4
|
29.6 MB
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5 - 3 - 5.02 What is the derivative of (12x)5 and sqrt(x2 0.0001) [704].mp4
|
29.6 MB
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4 - 3 - 4.02 Morally why is the product rule true [615].mp4
|
29.6 MB
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13 - 11 - 13.10 Formally why is the fundamental theorem of calculus true [631].mp4
|
29.4 MB
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15 - 2 - 15.01 What happens when I use thin horizontal rectangles to compute area [637].mp4
|
29.2 MB
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11 - 5 - 11.04 What is the sum of the first k perfect squares [647].mp4
|
29.2 MB
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1 - 8 - 1.07 What is the limit of (sin x)-x [610].mp4
|
29.1 MB
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3 - 2 - 3.01 What is the definition of derivative [634].mp4
|
28.9 MB
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13 - 2 - 13.01 How does the chain rule help with antidifferentiation [531].mp4
|
28.8 MB
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|
1 - 10 - 1.09 Morally what is the limit of a sum [614].mp4
|
28.7 MB
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3 - 11 - 3.10 What is the derivative of xn [731].mp4
|
28.7 MB
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2 - 11 - 2.10 What is the slope of a staircase [650].mp4
|
28.6 MB
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|
5 - 13 - 5.12 BONUS How does one prove the chain rule [648].mp4
|
28.4 MB
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|
15 - 5 - 15.04 What is the volume of a sphere [603].mp4
|
28.3 MB
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|
7 - 10 - 7.09 How quickly does the water level rise in a cone [700].mp4
|
28.3 MB
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|
13 - 7 - 13.06 What is the integral of (x10)(x-1)10 dx from x 0 to x 1 [536].mp4
|
27.5 MB
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|
4 - 6 - 4.05 How can I remember the quotient rule [557].mp4
|
27.1 MB
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|
4 - 4 - 4.03 How does one justify the product rule [610].mp4
|
27.1 MB
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10 - 6 - 10.05 What are antiderivatives of trigonometric functions [544].mp4
|
26.8 MB
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8 - 5 - 8.04 Why bother considering points where the function is not differentiable [717].mp4
|
26.3 MB
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9 - 2 - 9.01 Where does f(xh) f(x) h f(x) come from [559].mp4
|
26.2 MB
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9 - 9 - 9.08 How can Newtons method help me to divide quickly [724].mp4
|
26.2 MB
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|
2 - 7 - 2.06 What does lim f(x) infinity mean [524].mp4
|
25.9 MB
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15 - 3 - 15.02 When should I use horizontal as opposed to vertical pieces [545].mp4
|
25.8 MB
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10 - 8 - 10.07 How difficult is factoring compared to multiplying [530].mp4
|
25.8 MB
|
|
11 - 9 - 11.08 What is the definition of the integral of f(x) from x a to b [548].mp4
|
25.6 MB
|
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11 - 6 - 11.05 What is the sum of the first k perfect cubes [557].mp4
|
25.6 MB
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12 - 13 - 12.12 What is d-da integral f(x) dx from x a to x b [506].mp4
|
25.5 MB
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10 - 2 - 10.01 How do we handle the fact that there are many antiderivatives [526].mp4
|
25.4 MB
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3 - 6 - 3.05 Why is sqrt(9999) so close to 99.995 [543].mp4
|
24.9 MB
|
|
5 - 4 - 5.03 What is implicit differentiation [534].mp4
|
24.9 MB
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12 - 2 - 12.01 What is the fundamental theorem of calculus [532] .mp4
|
24.2 MB
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12 - 7 - 12.06 What is the area between the graphs of y x2 and y 1 - x2 [630].mp4
|
24.1 MB
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11 - 2 - 11.01 How can I write sums using a big Sigma [510].mp4
|
24.0 MB
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9 - 11 - 9.10 Why does f(x) 0 imply that f is increasing [510].mp4
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24.0 MB
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15 - 4 - 15.03 What does volume even mean [447].mp4
|
23.9 MB
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10 - 14 - 10.13 What is a slope field [456].mp4
|
23.8 MB
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15 - 6 - 15.05 How do washers help to compute the volume of a solid of revolution [519].mp4
|
23.8 MB
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6 - 3 - 6.02 Why are there these other trigonometric functions [448].mp4
|
23.8 MB
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10 - 10 - 10.09 What is the antiderivative of f(mxb) [518].mp4
|
23.5 MB
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14 - 7 - 14.06 What is an antiderivative of sin(2n1) x cos(2n) x dx [550].mp4
|
23.4 MB
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9 - 6 - 9.05 What does dx mean by itself [538].mp4
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23.4 MB
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2 - 6 - 2.05 Why is there an x so that f(x) x [512].mp4
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23.3 MB
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6 - 6 - 6.05 What are the derivatives of the other trigonometric functions [535].mp4
|
23.0 MB
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3 - 12 - 3.11 What is the derivative of x3 x2 [507].mp4
|
22.9 MB
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3 - 9 - 3.08 What is the derivative of a constant multiple of f(x) [453].mp4
|
22.8 MB
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14 - 2 - 14.01 What antidifferentiation rule corresponds to the product rule in reverse [504].mp4
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22.6 MB
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13 - 4 - 13.03 How should I handle the endpoints when doing u-substitution [513].mp4
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22.4 MB
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|
1 - 3 - 1.02 When are two functions the same [557].mp4
|
22.3 MB
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12 - 6 - 12.05 What is the area between the graphs of y sqrt(x) and y x2 [626].mp4
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22.3 MB
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5 - 12 - 5.11 How do we prove the quotient rule [501].mp4
|
22.0 MB
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2 - 8 - 2.07 What is the limit f(x) as x approaches infinity [443].mp4
|
21.9 MB
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8 - 7 - 8.06 How large can xy be if x y 24 [542].mp4
|
21.3 MB
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11 - 13 - 11.12 What sorts of properties does the integral satisfy [442].mp4
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21.3 MB
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5 - 5 - 5.04 What is the folium of Descartes [440].mp4
|
21.1 MB
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9 - 12 - 9.11 Should I bother to find the point c in the mean value theorem [427].mp4
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21.1 MB
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12 - 5 - 12.04 What is the integral of x4 dx from x 0 to x 1 [415].mp4
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21.0 MB
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|
15 - 9 - 15.08 What does length even mean [416].mp4
|
20.9 MB
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2 - 3 - 2.02 What does continuous mean [501].mp4
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20.6 MB
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10 - 9 - 10.08 What is an antiderivative for e(-x2) [449].mp4
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20.6 MB
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13 - 5 - 13.04 Might I want to do u-substitution more than once [422].mp4
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20.5 MB
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11 - 12 - 11.11 When is the accumulation function increasing Decreasing [444].mp4
|
20.4 MB
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7 - 7 - 7.06 How fast does the shadow move [511].mp4
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20.4 MB
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6 - 8 - 6.07 What are inverse trigonometric functions [432].mp4
|
20.3 MB
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8 - 4 - 8.03 Why do we have to bother checking the endpoints [415].mp4
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20.3 MB
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4 - 9 - 4.08 What does d-dx mean by itself [405].mp4
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19.9 MB
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10 - 5 - 10.04 What is the most general antiderivative of 1-x [414].mp4
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19.8 MB
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13 - 9 - 13.08 What is the integral of dx - (1 cos x) [416].mp4
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19.8 MB
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6 - 13 - 6.12 How can we multiply numbers with trigonometry [411].mp4
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19.7 MB
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6 - 10 - 6.09 Why do sine and cosine oscillate [439].mp4
|
19.6 MB
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3 - 7 - 3.06 What information is recorded in the sign of the derivative [413].mp4
|
19.6 MB
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5 - 8 - 5.07 What is logarithmic differentiation [424].mp4
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19.6 MB
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14 - 3 - 14.02 What is an antiderivative of x ex [413].mp4
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19.5 MB
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6 - 7 - 6.06 What is the derivative of sin(x2) [436].mp4
|
19.5 MB
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10 - 12 - 10.11 Knowing my acceleration what is my position [424].mp4
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19.4 MB
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2 - 12 - 2.11 How fast does water drip from a faucet [521].mp4
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19.4 MB
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11 - 4 - 11.03 What is the sum of the first k odd numbers [415].mp4
|
19.3 MB
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2 - 14 - 2.13 BONUS Why is the limit of x2 as x approaches 2 equal to 4 [459].mp4
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19.3 MB
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7 - 9 - 7.08 How quickly does a bowl fill with green water [407].mp4
|
19.2 MB
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3 - 13 - 3.12 Why is the derivative of a sum the sum of derivatives [448].mp4
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19.1 MB
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13 - 10 - 13.09 What is d-dx integral sin t dt from t 0 to t x2 [351].mp4
|
18.9 MB
|
|
4 - 5 - 4.04 What is the quotient rule [409].mp4
|
18.6 MB
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12 - 12 - 12.11 Physically why is the fundamental theorem of calculus true [400].mp4
|
18.5 MB
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6 - 11 - 6.10 How can we get a formula for sin(ab) [415].mp4
|
18.4 MB
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4 - 8 - 4.07 What does the sign of the second derivative encode [426].mp4
|
18.1 MB
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13 - 12 - 13.11 Without resorting to the fundamental theorem why does substitution work [347].mp4
|
17.8 MB
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13 - 8 - 13.07 What is the integral of x - (x1)(1-3) dx [354].mp4
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17.7 MB
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12 - 9 - 12.08 Why does the Euler method resemble a Riemann sum [429].mp4
|
17.4 MB
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15 - 10 - 15.09 On the graph of y2 x3 what is the length of a certain arc [414].mp4
|
17.4 MB
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12 - 4 - 12.03 What is the integral of sin x dx from x 0 to x pi [332].mp4
|
16.7 MB
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2 - 2 - 2.01 What is a one-sided limit [345].mp4
|
16.4 MB
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8 - 11 - 8.10 How short of a ladder will clear a fence [403].mp4
|
16.1 MB
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3 - 3 - 3.02 What is a tangent line [328].mp4
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16.1 MB
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6 - 2 - 6.01 Why does trigonometry work [312].mp4
|
15.7 MB
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3 - 5 - 3.04 How does wiggling x affect f(x) [329].mp4
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15.4 MB
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10 - 3 - 10.02 What is the antiderivative of a sum [342].mp4
|
15.2 MB
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7 - 6 - 7.05 What does a car sound like as it drives past [357].mp4
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15.2 MB
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7 - 8 - 7.07 How fast does the ladder slide down the building [350].mp4
|
15.0 MB
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7 - 5 - 7.04 How long until the gray goo destroys Earth [346].mp4
|
14.9 MB
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4 - 12 - 4.11 Do all local minimums look basically the same when you zoom in [355].mp4
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14.8 MB
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10 - 11 - 10.10 Knowing my velocity what is my position [316].mp4
|
14.7 MB
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5 - 11 - 5.10 How can logarithms help to prove the product rule [328].mp4
|
14.1 MB
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10 - 13 - 10.12 What is the antiderivative of sine squared [318].mp4
|
14.1 MB
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11 - 14 - 11.13 What is the integral of sin x dx from -1 to 1 [315].mp4
|
14.1 MB
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14 - 6 - 14.05 What is an antiderivative of e(sqrt(x)) [324].mp4
|
13.8 MB
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7 - 11 - 7.10 How quickly does a balloon fill with air [345].mp4
|
13.7 MB
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3 - 4 - 3.03 Why is the absolute value function not differentiable [238].mp4
|
13.6 MB
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6 - 12 - 6.11 How can I approximate sin 1 [325].mp4
|
13.5 MB
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11 - 1 - 11.00 If we are not differentiating what are we going to do [257].mp4
|
13.4 MB
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2 - 13 - 2.12 BONUS What is the official definition of limit [334].mp4
|
13.2 MB
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1 - 4 - 1.03 How can more functions be made [325].mp4
|
12.1 MB
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2 - 10 - 2.09 What is the difference between potential and actual infinity [249].mp4
|
12.0 MB
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10 - 7 - 10.06 What are antiderivatives of ex and natural log [244].mp4
|
11.8 MB
|
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12 - 10 - 12.09 In what way is summation like integration [231].mp4
|
11.7 MB
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10 - 1 - 10.00 What does it mean to antidifferentiate [220].mp4
|
11.0 MB
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1 - 11 - 1.10 What is the limit of a product [213].mp4
|
9.8 MB
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2 - 4 - 2.03 What is the intermediate value theorem [223].mp4
|
9.0 MB
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14 - 4 - 14.03 How does parts help when antidifferentiating log x [202].mp4
|
8.6 MB
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12 - 1 - 12.00 What is the big deal about the fundamental theorem of calculus [213] .mp4
|
8.4 MB
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2 - 15 - 2.14 BONUS Why is the limit of 2x as x approaches 10 equal to 20 [217].mp4
|
8.2 MB
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15 - 1 - 15.00 What application of integration will we consider [145].mp4
|
7.8 MB
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6 - 1 - 6.00 What are transcendental functions [203].mp4
|
7.6 MB
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13 - 1 - 13.00 How is this course structured.mp4
|
7.4 MB
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1 - 1 - 1.00 Who will help me [146].mp4
|
6.9 MB
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3 - 1 - 3.00 What comes next Derivatives [137].mp4
|
6.3 MB
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7 - 1 - 7.00 What applications of the derivative will we do this week [122].mp4
|
5.9 MB
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8 - 1 - 8.00 What sorts of optimization problems will calculus help us solve [138].mp4
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5.8 MB
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2 - 1 - 2.00 Where are we in the course [122].mp4
|
5.6 MB
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14 - 1 - 14.00 What remains to be done [129].mp4
|
5.6 MB
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9 - 1 - 9.00 What is up with all the numerical analysis this week [134].mp4
|
5.4 MB
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4 - 1 - 4.00 What will Week 4 bring us [121].mp4
|
5.2 MB
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15 - 11 - 15.10 This title is missing a question mark. [115].mp4
|
4.8 MB
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5 - 1 - 5.00 Is there anything more to learn about derivatives [100].mp4
|
3.5 MB
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/book/
|
|
mooculus.pdf
|
2.9 MB
|
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mooculus-print.pdf
|
2.9 MB
|
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/addons/
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quartersquares.pdf
|
88.8 KB
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hallway-corner.pdf
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76.3 KB
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cosine.pdf
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73.6 KB
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sliderule.pdf
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67.0 KB
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log-table.pdf
|
63.2 KB
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arccosine.pdf
|
55.6 KB
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water-bowl-experiment.pdf
|
47.6 KB
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water-bowl-radius.pdf
|
43.9 KB
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water-bowl-volume.pdf
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6.0 KB
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/subtitles/
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1 - 6 - 1.05 What is the domain of square root
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21.4 KB
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7 - 3 - 7.02 How can l'Hôpital help with limits not of the form 0-0
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21.1 KB
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1 - 13 - 1.12 How fast does a ball move
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19.8 KB
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1 - 2 - 1.01 What is a function
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16.5 KB
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8 - 9 - 8.08 Where do three bubbles meet
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16.5 KB
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4 - 7 - 4.06 What is the meaning of the derivative of the derivative
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15.5 KB
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8 - 8 - 8.07 How do you design the best soup can
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15.1 KB
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2 - 5 - 2.04 How can I approximate root two
|
14.3 KB
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3 - 10 - 3.09 Why is the derivative of x^2 equal to 2x
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14.3 KB
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8 - 10 - 8.09 How large of an object can you carry around a corner
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14.0 KB
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6 - 9 - 6.08 What are the derivatives of inverse trig functions
|
13.9 KB
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7 - 2 - 7.01 How can derivatives help us to compute limits
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13.8 KB
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1 - 12 - 1.11 What is the limit of a quotient
|
13.6 KB
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5 - 6 - 5.05 How does the derivative of the inverse function relate to the derivative of the original function
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13.3 KB
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5 - 2 - 5.01 What is the chain rule
|
13.3 KB
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8 - 3 - 8.02 How do I find the maximum and minimum values of f on a given domain
|
13.2 KB
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9 - 7 - 9.06 What is Newton's method
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9 - 4 - 9.03 What happens if I repeat linear approximation
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8 - 2 - 8.01 What is the extreme value theorem
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4 - 11 - 4.10 How can I find extreme values
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6 - 5 - 6.04 What is the derivative of tan x
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6 - 4 - 6.03 What is the derivative of sine and cosine
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4 - 14 - 4.13 What is a function which is its own derivative
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14 - 9 - 14.08 What is the integral of sin^n x dx in terms of sin^(n-2) x dx
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5 - 10 - 5.09 How do we justify the power rule
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11 - 8 - 11.07 How can I approximate the area of a curved region
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1 - 7 - 1.06 What is the limit of (x^2 - 1)-(x-1)
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7 - 4 - 7.03 Why shouldn't I fall in love with l'Hôpital
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12 - 11 - 12.10 What is the sum of n^4 for n = 1 to n = k
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12 - 8 - 12.07 What is the accumulation function for sqrt(1-x^2)
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8 - 6 - 8.05 How can you build the best fence for your sheep
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10.9 KB
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1 - 9 - 1.08 What is the limit of sin (1-x)
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4 - 13 - 4.12 How can I sketch a graph by hand
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13 - 6 - 13.05 What is the integral of dx - (x^2 + 4x + 7)
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10.2 KB
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14 - 10 - 14.09 Why is pi _ 22-7
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10.1 KB
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5 - 9 - 5.08 How can we multiply quickly
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11 - 11 - 11.10 What is the integral of x^3 from x = 1 to 2
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9 - 5 - 9.04 Why is log 3 base 2 approximately 19-12
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1 - 5 - 1.04 What are some real-world examples of functions
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11 - 10 - 11.09 What is the integral of x^2 from x = 0 to 1
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10.0 KB
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15 - 7 - 15.06 What is the volume of a thin shell
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9.7 KB
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9 - 9 - 9.08 How can Newton's method help me to divide quickly
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2 - 9 - 2.08 Why is infinity not a number
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3 - 2 - 3.01 What is the definition of derivative
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9 - 10 - 9.09 What is the mean value theorem
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9.3 KB
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8 - 5 - 8.04 Why bother considering points where the function is not differentiable
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9.3 KB
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4 - 10 - 4.09 What are extreme values
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9.3 KB
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7 - 10 - 7.09 How quickly does the water level rise in a cone
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9.2 KB
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14 - 8 - 14.07 What is the integral of sin^(2n) x dx from x = 0 to x = pi
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8.9 KB
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15 - 8 - 15.07 What is the volume of a sphere with a hole drilled in it
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8.9 KB
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11 - 7 - 11.06 What does area even mean
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8.7 KB
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3 - 11 - 3.10 What is the derivative of x^n
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8.6 KB
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4 - 6 - 4.05 How can I remember the quotient rule
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9 - 8 - 9.07 What is a root of the polynomial x^5 + x^2 - 1
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13 - 3 - 13.02 When I do u-substitution, what should u be
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8.4 KB
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5 - 7 - 5.06 What is the derivative of log
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8.3 KB
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9 - 3 - 9.02 What is the volume of an orange rind
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8.2 KB
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11 - 5 - 11.04 What is the sum of the first k perfect squares
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3 - 8 - 3.07 Why is a differentiable function necessarily continuous
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15 - 2 - 15.01 What happens when I use thin horizontal rectangles to compute area
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5 - 3 - 5.02 What is the derivative of (1+2x)^5 and sqrt(x^2 + 0.0001)
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12 - 7 - 12.06 What is the area between the graphs of y = x^2 and y = 1 - x^2
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12 - 6 - 12.05 What is the area between the graphs of y = sqrt(x) and y = x^2
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7.9 KB
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1 - 8 - 1.07 What is the limit of (sin x)-x
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7.9 KB
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12 - 3 - 12.02 How can I use the fundamental theorem of calculus to evaluate integrals
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7.9 KB
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10 - 4 - 10.03 What is an antiderivative for x^n
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7.8 KB
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10 - 6 - 10.05 What are antiderivatives of trigonometric functions
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7.7 KB
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5 - 13 - 5.12 BONUS How does one prove the chain rule
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9 - 2 - 9.01 Where does f(x+h) = f(x) + h f'(x) come from
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11 - 3 - 11.02 What is the sum 1 + 2 + ... + k
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11 - 6 - 11.05 What is the sum of the first k perfect cubes
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7.5 KB
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4 - 3 - 4.02 Morally, why is the product rule true
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2 - 3 - 2.02 What does _continuous_ mean
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1 - 3 - 1.02 When are two functions the same
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7.3 KB
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8 - 7 - 8.06 How large can xy be if x + y = 24
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4 - 4 - 4.03 How does one justify the product rule
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14 - 5 - 14.04 What is an antiderivative of e^x cos x
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15 - 3 - 15.02 When should I use horizontal as opposed to vertical pieces
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4 - 2 - 4.01 What is the derivative of f(x) g(x)
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2 - 7 - 2.06 What does lim f(x) = infinity mean
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9 - 11 - 9.10 Why does f'(x) _ 0 imply that f is increasing
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9 - 6 - 9.05 What does dx mean by itself
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13 - 11 - 13.10 Formally, why is the fundamental theorem of calculus true
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12 - 2 - 12.01 What is the fundamental theorem of calculus
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5 - 4 - 5.03 What is implicit differentiation
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7.0 KB
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13 - 2 - 13.01 How does the chain rule help with antidifferentiation
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6.9 KB
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15 - 5 - 15.04 What is the volume of a sphere
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6.9 KB
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1 - 10 - 1.09 Morally, what is the limit of a sum
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6.9 KB
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10 - 9 - 10.08 What is an antiderivative for e^(-x^2)
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6.8 KB
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7 - 7 - 7.06 How fast does the shadow move
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6.7 KB
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10 - 8 - 10.07 How difficult is factoring compared to multiplying
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6 - 6 - 6.05 What are the derivatives of the other trigonometric functions
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15 - 6 - 15.05 How do washers help to compute the volume of a solid of revolution
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2 - 8 - 2.07 What is the limit f(x) as x approaches infinity
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3 - 6 - 3.05 Why is sqrt(9999) so close to 99.995
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6.5 KB
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13 - 7 - 13.06 What is the integral of (x+10)(x-1)^10 dx from x = 0 to x = 1
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6.5 KB
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6 - 3 - 6.02 Why are there these other trigonometric functions
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11 - 12 - 11.11 When is the accumulation function increasing
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10 - 10 - 10.09 What is the antiderivative of f(mx+b)
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10 - 2 - 10.01 How do we handle the fact that there are many antiderivatives
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12 - 13 - 12.12 What is d-da integral f(x) dx from x = a to x = b
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6.3 KB
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10 - 14 - 10.13 What is a slope field
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6.3 KB
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3 - 12 - 3.11 What is the derivative of x^3 + x^2
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6.3 KB
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11 - 13 - 11.12 What sorts of properties does the integral satisfy
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6.2 KB
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2 - 6 - 2.05 Why is there an x so that f(x) = x
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6.2 KB
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4 - 8 - 4.07 What does the sign of the second derivative encode
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6.2 KB
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15 - 4 - 15.03 What does _volume_ even mean
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6.2 KB
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5 - 12 - 5.11 How do we prove the quotient rule
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11 - 2 - 11.01 How can I write sums using a big Sigma
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11 - 9 - 11.08 What is the definition of the integral of f(x) from x = a to b
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6.0 KB
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8 - 4 - 8.03 Why do we have to bother checking the endpoints
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6.0 KB
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14 - 7 - 14.06 What is an antiderivative of sin^(2n+1) x cos^(2n) x dx
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6.0 KB
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3 - 9 - 3.08 What is the derivative of a constant multiple of f(x)
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5.9 KB
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14 - 2 - 14.01 What antidifferentiation rule corresponds to the product rule in reverse
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5.8 KB
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6 - 10 - 6.09 Why do sine and cosine oscillate
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5.7 KB
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2 - 11 - 2.10 What is the slope of a staircase
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3 - 13 - 3.12 Why is the derivative of a sum the sum of derivatives
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5.6 KB
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6 - 7 - 6.06 What is the derivative of sin(x^2)
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5.6 KB
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13 - 4 - 13.03 How should I handle the endpoints when doing u-substitution
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5.6 KB
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10 - 12 - 10.11 Knowing my acceleration, what is my position
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5.6 KB
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7 - 8 - 7.07 How fast does the ladder slide down the building
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13 - 5 - 13.04 Might I want to do u-substitution more than once
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5.5 KB
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8 - 11 - 8.10 How short of a ladder will clear a fence
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12 - 5 - 12.04 What is the integral of x^4 dx from x = 0 to x = 1
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9 - 12 - 9.11 Should I bother to find the point c in the mean value theorem
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15 - 9 - 15.08 What does _length_ even mean
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6 - 8 - 6.07 What are inverse trigonometric functions
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12 - 9 - 12.08 Why does the Euler method resemble a Riemann sum
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3 - 7 - 3.06 What information is recorded in the sign of the derivative
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4 - 5 - 4.04 What is the quotient rule
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14 - 3 - 14.02 What is an antiderivative of x e^x
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5.3 KB
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2 - 14 - 2.13 BONUS Why is the limit of x^2 as x approaches 2 equal to 4
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5.2 KB
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5 - 8 - 5.07 What is logarithmic differentiation
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6 - 11 - 6.10 How can we get a formula for sin(a+b)
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7 - 9 - 7.08 How quickly does a bowl fill with green water
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7 - 6 - 7.05 What does a car sound like as it drives past
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2 - 2 - 2.01 What is a one-sided limit
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12 - 12 - 12.11 Physically, why is the fundamental theorem of calculus true
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5.1 KB
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10 - 5 - 10.04 What is the most general antiderivative of 1-x
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4 - 9 - 4.08 What does d-dx mean by itself
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5.0 KB
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5 - 5 - 5.04 What is the folium of Descartes
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4.8 KB
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4 - 12 - 4.11 Do all local minimums look basically the same when you zoom in
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4.7 KB
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11 - 4 - 11.03 What is the sum of the first k odd numbers
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1 - 4 - 1.03 How can more functions be made
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4.6 KB
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2 - 13 - 2.12 BONUS What is the official definition of limit
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4.6 KB
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6 - 13 - 6.12 How can we multiply numbers with trigonometry
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4.6 KB
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12 - 4 - 12.03 What is the integral of sin x dx from x = 0 to x = pi
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10 - 13 - 10.12 What is the antiderivative of sine squared
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13 - 12 - 13.11 Without resorting to the fundamental theorem, why does substitution work
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4.4 KB
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10 - 3 - 10.02 What is the antiderivative of a sum
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4.3 KB
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5 - 11 - 5.10 How can logarithms help to prove the product rule
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13 - 9 - 13.08 What is the integral of dx - (1 + cos x)
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4.3 KB
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15 - 10 - 15.09 On the graph of y^2 = x^3, what is the length of a certain arc
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7 - 5 - 7.04 How long until the gray goo destroys Earth
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7 - 11 - 7.10 How quickly does a balloon fill with air
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3 - 3 - 3.02 What is a tangent line
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6 - 12 - 6.11 How can I approximate sin 1
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14 - 6 - 14.05 What is an antiderivative of e^(sqrt(x))
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11 - 1 - 11.00 If we are not differentiating, what are we going to do
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11 - 14 - 11.13 What is the integral of sin x dx from -1 to 1
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3.9 KB
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3 - 5 - 3.04 How does wiggling x affect f(x)
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13 - 10 - 13.09 What is d-dx integral sin t dt from t = 0 to t = x^2
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3.9 KB
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13 - 8 - 13.07 What is the integral of x - (x+1)^(1-3) dx
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3.9 KB
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6 - 2 - 6.01 Why does trigonometry work
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3.9 KB
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10 - 11 - 10.10 Knowing my velocity, what is my position
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3.7 KB
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2 - 10 - 2.09 What is the difference between potential and actual infinity
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3.7 KB
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13 - 1 - 13.00 How is this course structured
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3.5 KB
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2 - 12 - 2.11 How fast does water drip from a faucet
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3.5 KB
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10 - 1 - 10.00 What does it mean to antidifferentiate
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3.4 KB
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12 - 10 - 12.09 In what way is summation like integration
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3.2 KB
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10 - 7 - 10.06 What are antiderivatives of e^x and natural log
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3.2 KB
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12 - 1 - 12.00 What is the big deal about the fundamental theorem of calculus
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3.2 KB
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2 - 4 - 2.03 What is the intermediate value theorem
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3.1 KB
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3 - 4 - 3.03 Why is the absolute value function not differentiable
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3.0 KB
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6 - 1 - 6.00 What are transcendental functions
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2.9 KB
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2 - 15 - 2.14 BONUS Why is the limit of 2x as x approaches 10 equal to 20
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2.5 KB
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8 - 1 - 8.00 What sorts of optimization problems will calculus help us solve
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2.5 KB
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3 - 1 - 3.00 What comes next
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15 - 1 - 15.00 What application of integration will we consider
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2.4 KB
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1 - 1 - 1.00 Who will help me
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2.3 KB
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9 - 1 - 9.00 What is up with all the numerical analysis this week
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2.3 KB
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14 - 4 - 14.03 How does parts help when antidifferentiating log x
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2.1 KB
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14 - 1 - 14.00 What remains to be done
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2.1 KB
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1 - 11 - 1.10 What is the limit of a product
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2.0 KB
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2 - 1 - 2.00 Where are we in the course
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1.9 KB
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4 - 1 - 4.00 What will Week 4 bring us
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1.8 KB
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7 - 1 - 7.00 What applications of the derivative will we do this week
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1.8 KB
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15 - 11 - 15.10 This title is missing a question mark. [1_15].srt
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5 - 1 - 5.00 Is there anything more to learn about derivatives
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Total files 389
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