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Coursera - Calculus One (2013)

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File Name
Size
video/1 - 13 - 1.12 How fast does a ball move [1642].mp4
68 MB
video/7 - 3 - 7.02 How can lHpital help with limits not of the form 0-0 [1443].mp4
60 MB
video/1 - 6 - 1.05 What is the domain of square root [1556].mp4
57 MB
video/3 - 10 - 3.09 Why is the derivative of x2 equal to 2x [1221].mp4
57 MB
video/8 - 9 - 8.08 Where do three bubbles meet [1245].mp4
50 MB
video/14 - 9 - 14.08 What is the integral of sinn x dx in terms of sin(n-2) x dx [1133].mp4
47 MB
video/5 - 6 - 5.05 How does the derivative of the inverse function relate to the derivative of the original function [1020].mp4
46 MB
video/8 - 8 - 8.07 How do you design the best soup can [1032].mp4
46 MB
video/5 - 10 - 5.09 How do we justify the power rule [1117].mp4
44 MB
video/5 - 2 - 5.01 What is the chain rule [1032].mp4
42 MB
video/6 - 4 - 6.03 What is the derivative of sine and cosine [1004].mp4
42 MB
video/4 - 7 - 4.06 What is the meaning of the derivative of the derivative [1103].mp4
42 MB
video/9 - 5 - 9.04 Why is log 3 base 2 approximately 19-12 [1021].mp4
41 MB
video/13 - 6 - 13.05 What is the integral of dx - (x2 4x 7) [904].mp4
41 MB
video/9 - 7 - 9.06 What is Newtons method [955].mp4
40 MB
video/8 - 10 - 8.09 How large of an object can you carry around a corner [1032].mp4
40 MB
video/1 - 2 - 1.01 What is a function [1119].mp4
40 MB
video/4 - 11 - 4.10 How can I find extreme values [954].mp4
38 MB
video/6 - 5 - 6.04 What is the derivative of tan x [925].mp4
38 MB
video/1 - 12 - 1.11 What is the limit of a quotient [917].mp4
38 MB
video/8 - 6 - 8.05 How can you build the best fence for your sheep [849].mp4
38 MB
video/4 - 14 - 4.13 What is a function which is its own derivative [901].mp4
37 MB
video/9 - 4 - 9.03 What happens if I repeat linear approximation [1033].mp4
37 MB
video/2 - 5 - 2.04 How can I approximate root two [1020].mp4
37 MB
video/14 - 10 - 14.09 Why is pi 22-7 [825].mp4
36 MB
video/15 - 7 - 15.06 What is the volume of a thin shell [748].mp4
36 MB
video/6 - 9 - 6.08 What are the derivatives of inverse trig functions [1026].mp4
36 MB
video/12 - 11 - 12.10 What is the sum of n4 for n 1 to n k [924] .mp4
36 MB
video/7 - 2 - 7.01 How can derivatives help us to compute limits [926].mp4
35 MB
video/11 - 11 - 11.10 What is the integral of x3 from x 1 to 2 [835].mp4
35 MB
video/11 - 7 - 11.06 What does area even mean [709].mp4
34 MB
video/11 - 8 - 11.07 How can I approximate the area of a curved region [957].mp4
34 MB
video/1 - 7 - 1.06 What is the limit of (x2 - 1)-(x-1) [848].mp4
34 MB
video/5 - 9 - 5.08 How can we multiply quickly [848].mp4
34 MB
video/11 - 10 - 11.09 What is the integral of x2 from x 0 to 1 [808].mp4
33 MB
video/7 - 4 - 7.03 Why shouldnt I fall in love with lHpital [814].mp4
33 MB
video/9 - 3 - 9.02 What is the volume of an orange rind [640].mp4
33 MB
video/15 - 8 - 15.07 What is the volume of a sphere with a hole drilled in it [737].mp4
32 MB
video/8 - 2 - 8.01 What is the extreme value theorem [856].mp4
32 MB
video/1 - 9 - 1.08 What is the limit of sin (1-x) [817].mp4
32 MB
video/8 - 3 - 8.02 How do I find the maximum and minimum values of f on a given domain [906].mp4
32 MB
video/13 - 3 - 13.02 When I do u-substitution what should u be [709].mp4
32 MB
video/10 - 4 - 10.03 What is an antiderivative for xn [736].mp4
31 MB
video/4 - 2 - 4.01 What is the derivative of f(x) g(x) [646].mp4
31 MB
video/9 - 8 - 9.07 What is a root of the polynomial x5 x2 - 1 [655].mp4
31 MB
video/14 - 8 - 14.07 What is the integral of sin(2n) x dx from x 0 to x pi [801].mp4
31 MB
video/4 - 13 - 4.12 How can I sketch a graph by hand [728].mp4
31 MB
video/4 - 10 - 4.09 What are extreme values [722].mp4
30 MB
video/12 - 8 - 12.07 What is the accumulation function for sqrt(1-x2) [839].mp4
30 MB
video/9 - 10 - 9.09 What is the mean value theorem [651].mp4
30 MB
video/1 - 5 - 1.04 What are some real-world examples of functions [656].mp4
29 MB
video/3 - 8 - 3.07 Why is a differentiable function necessarily continuous [601] .mp4
29 MB
video/5 - 7 - 5.06 What is the derivative of log [655].mp4
29 MB
video/12 - 3 - 12.02 How can I use the fundamental theorem of calculus to evaluate integrals [606].mp4
28 MB
video/2 - 9 - 2.08 Why is infinity not a number [621].mp4
28 MB
video/14 - 5 - 14.04 What is an antiderivative of ex cos x [612].mp4
28 MB
video/11 - 3 - 11.02 What is the sum 1 2 ... k [611].mp4
28 MB
video/5 - 3 - 5.02 What is the derivative of (12x)5 and sqrt(x2 0.0001) [704].mp4
28 MB
video/4 - 3 - 4.02 Morally why is the product rule true [615].mp4
28 MB
video/13 - 11 - 13.10 Formally why is the fundamental theorem of calculus true [631].mp4
28 MB
video/15 - 2 - 15.01 What happens when I use thin horizontal rectangles to compute area [637].mp4
28 MB
video/11 - 5 - 11.04 What is the sum of the first k perfect squares [647].mp4
28 MB
video/1 - 8 - 1.07 What is the limit of (sin x)-x [610].mp4
28 MB
video/3 - 2 - 3.01 What is the definition of derivative [634].mp4
28 MB
video/13 - 2 - 13.01 How does the chain rule help with antidifferentiation [531].mp4
28 MB
video/1 - 10 - 1.09 Morally what is the limit of a sum [614].mp4
27 MB
video/3 - 11 - 3.10 What is the derivative of xn [731].mp4
27 MB
video/2 - 11 - 2.10 What is the slope of a staircase [650].mp4
27 MB
video/5 - 13 - 5.12 BONUS How does one prove the chain rule [648].mp4
27 MB
video/15 - 5 - 15.04 What is the volume of a sphere [603].mp4
27 MB
video/7 - 10 - 7.09 How quickly does the water level rise in a cone [700].mp4
27 MB
video/13 - 7 - 13.06 What is the integral of (x10)(x-1)10 dx from x 0 to x 1 [536].mp4
26 MB
video/4 - 6 - 4.05 How can I remember the quotient rule [557].mp4
26 MB
video/4 - 4 - 4.03 How does one justify the product rule [610].mp4
26 MB
video/10 - 6 - 10.05 What are antiderivatives of trigonometric functions [544].mp4
26 MB
video/8 - 5 - 8.04 Why bother considering points where the function is not differentiable [717].mp4
25 MB
video/9 - 2 - 9.01 Where does f(xh) f(x) h f(x) come from [559].mp4
25 MB
video/9 - 9 - 9.08 How can Newtons method help me to divide quickly [724].mp4
25 MB
video/2 - 7 - 2.06 What does lim f(x) infinity mean [524].mp4
25 MB
video/15 - 3 - 15.02 When should I use horizontal as opposed to vertical pieces [545].mp4
25 MB
video/10 - 8 - 10.07 How difficult is factoring compared to multiplying [530].mp4
25 MB
video/11 - 9 - 11.08 What is the definition of the integral of f(x) from x a to b [548].mp4
24 MB
video/11 - 6 - 11.05 What is the sum of the first k perfect cubes [557].mp4
24 MB
video/12 - 13 - 12.12 What is d-da integral f(x) dx from x a to x b [506].mp4
24 MB
video/10 - 2 - 10.01 How do we handle the fact that there are many antiderivatives [526].mp4
24 MB
video/3 - 6 - 3.05 Why is sqrt(9999) so close to 99.995 [543].mp4
24 MB
video/5 - 4 - 5.03 What is implicit differentiation [534].mp4
24 MB
video/12 - 2 - 12.01 What is the fundamental theorem of calculus [532] .mp4
23 MB
video/12 - 7 - 12.06 What is the area between the graphs of y x2 and y 1 - x2 [630].mp4
23 MB
video/11 - 2 - 11.01 How can I write sums using a big Sigma [510].mp4
23 MB
video/9 - 11 - 9.10 Why does f(x) 0 imply that f is increasing [510].mp4
23 MB
video/15 - 4 - 15.03 What does volume even mean [447].mp4
23 MB
video/10 - 14 - 10.13 What is a slope field [456].mp4
23 MB
video/15 - 6 - 15.05 How do washers help to compute the volume of a solid of revolution [519].mp4
23 MB
video/6 - 3 - 6.02 Why are there these other trigonometric functions [448].mp4
23 MB
video/10 - 10 - 10.09 What is the antiderivative of f(mxb) [518].mp4
22 MB
video/14 - 7 - 14.06 What is an antiderivative of sin(2n1) x cos(2n) x dx [550].mp4
22 MB
video/9 - 6 - 9.05 What does dx mean by itself [538].mp4
22 MB
video/2 - 6 - 2.05 Why is there an x so that f(x) x [512].mp4
22 MB
video/6 - 6 - 6.05 What are the derivatives of the other trigonometric functions [535].mp4
22 MB
video/3 - 12 - 3.11 What is the derivative of x3 x2 [507].mp4
22 MB
video/3 - 9 - 3.08 What is the derivative of a constant multiple of f(x) [453].mp4
22 MB
video/14 - 2 - 14.01 What antidifferentiation rule corresponds to the product rule in reverse [504].mp4
22 MB
video/13 - 4 - 13.03 How should I handle the endpoints when doing u-substitution [513].mp4
21 MB
video/1 - 3 - 1.02 When are two functions the same [557].mp4
21 MB
video/12 - 6 - 12.05 What is the area between the graphs of y sqrt(x) and y x2 [626].mp4
21 MB
video/5 - 12 - 5.11 How do we prove the quotient rule [501].mp4
21 MB
video/2 - 8 - 2.07 What is the limit f(x) as x approaches infinity [443].mp4
21 MB
video/8 - 7 - 8.06 How large can xy be if x y 24 [542].mp4
20 MB
video/11 - 13 - 11.12 What sorts of properties does the integral satisfy [442].mp4
20 MB
video/5 - 5 - 5.04 What is the folium of Descartes [440].mp4
20 MB
video/9 - 12 - 9.11 Should I bother to find the point c in the mean value theorem [427].mp4
20 MB
video/12 - 5 - 12.04 What is the integral of x4 dx from x 0 to x 1 [415].mp4
20 MB
video/15 - 9 - 15.08 What does length even mean [416].mp4
20 MB
video/2 - 3 - 2.02 What does continuous mean [501].mp4
20 MB
video/10 - 9 - 10.08 What is an antiderivative for e(-x2) [449].mp4
20 MB
video/13 - 5 - 13.04 Might I want to do u-substitution more than once [422].mp4
20 MB
video/11 - 12 - 11.11 When is the accumulation function increasing Decreasing [444].mp4
19 MB
video/7 - 7 - 7.06 How fast does the shadow move [511].mp4
19 MB
video/6 - 8 - 6.07 What are inverse trigonometric functions [432].mp4
19 MB
video/8 - 4 - 8.03 Why do we have to bother checking the endpoints [415].mp4
19 MB
video/4 - 9 - 4.08 What does d-dx mean by itself [405].mp4
19 MB
video/10 - 5 - 10.04 What is the most general antiderivative of 1-x [414].mp4
19 MB
video/13 - 9 - 13.08 What is the integral of dx - (1 cos x) [416].mp4
19 MB
video/6 - 13 - 6.12 How can we multiply numbers with trigonometry [411].mp4
19 MB
video/6 - 10 - 6.09 Why do sine and cosine oscillate [439].mp4
19 MB
video/3 - 7 - 3.06 What information is recorded in the sign of the derivative [413].mp4
19 MB
video/5 - 8 - 5.07 What is logarithmic differentiation [424].mp4
19 MB
video/14 - 3 - 14.02 What is an antiderivative of x ex [413].mp4
19 MB
video/6 - 7 - 6.06 What is the derivative of sin(x2) [436].mp4
19 MB
video/10 - 12 - 10.11 Knowing my acceleration what is my position [424].mp4
18 MB
video/2 - 12 - 2.11 How fast does water drip from a faucet [521].mp4
18 MB
video/11 - 4 - 11.03 What is the sum of the first k odd numbers [415].mp4
18 MB
video/2 - 14 - 2.13 BONUS Why is the limit of x2 as x approaches 2 equal to 4 [459].mp4
18 MB
video/7 - 9 - 7.08 How quickly does a bowl fill with green water [407].mp4
18 MB
video/3 - 13 - 3.12 Why is the derivative of a sum the sum of derivatives [448].mp4
18 MB
video/13 - 10 - 13.09 What is d-dx integral sin t dt from t 0 to t x2 [351].mp4
18 MB
video/4 - 5 - 4.04 What is the quotient rule [409].mp4
18 MB
video/12 - 12 - 12.11 Physically why is the fundamental theorem of calculus true [400].mp4
18 MB
video/6 - 11 - 6.10 How can we get a formula for sin(ab) [415].mp4
18 MB
video/4 - 8 - 4.07 What does the sign of the second derivative encode [426].mp4
17 MB
video/13 - 12 - 13.11 Without resorting to the fundamental theorem why does substitution work [347].mp4
17 MB
video/13 - 8 - 13.07 What is the integral of x - (x1)(1-3) dx [354].mp4
17 MB
video/12 - 9 - 12.08 Why does the Euler method resemble a Riemann sum [429].mp4
17 MB
video/15 - 10 - 15.09 On the graph of y2 x3 what is the length of a certain arc [414].mp4
17 MB
video/12 - 4 - 12.03 What is the integral of sin x dx from x 0 to x pi [332].mp4
16 MB
video/2 - 2 - 2.01 What is a one-sided limit [345].mp4
16 MB
video/8 - 11 - 8.10 How short of a ladder will clear a fence [403].mp4
15 MB
video/3 - 3 - 3.02 What is a tangent line [328].mp4
15 MB
video/6 - 2 - 6.01 Why does trigonometry work [312].mp4
15 MB
video/3 - 5 - 3.04 How does wiggling x affect f(x) [329].mp4
15 MB
video/10 - 3 - 10.02 What is the antiderivative of a sum [342].mp4
14 MB
video/7 - 6 - 7.05 What does a car sound like as it drives past [357].mp4
14 MB
video/7 - 8 - 7.07 How fast does the ladder slide down the building [350].mp4
14 MB
video/7 - 5 - 7.04 How long until the gray goo destroys Earth [346].mp4
14 MB
video/4 - 12 - 4.11 Do all local minimums look basically the same when you zoom in [355].mp4
14 MB
video/10 - 11 - 10.10 Knowing my velocity what is my position [316].mp4
14 MB
video/5 - 11 - 5.10 How can logarithms help to prove the product rule [328].mp4
14 MB
video/10 - 13 - 10.12 What is the antiderivative of sine squared [318].mp4
14 MB
video/11 - 14 - 11.13 What is the integral of sin x dx from -1 to 1 [315].mp4
13 MB
video/14 - 6 - 14.05 What is an antiderivative of e(sqrt(x)) [324].mp4
13 MB
video/7 - 11 - 7.10 How quickly does a balloon fill with air [345].mp4
13 MB
video/3 - 4 - 3.03 Why is the absolute value function not differentiable [238].mp4
13 MB
video/6 - 12 - 6.11 How can I approximate sin 1 [325].mp4
13 MB
video/11 - 1 - 11.00 If we are not differentiating what are we going to do [257].mp4
13 MB
video/2 - 13 - 2.12 BONUS What is the official definition of limit [334].mp4
12 MB
video/1 - 4 - 1.03 How can more functions be made [325].mp4
12 MB
video/2 - 10 - 2.09 What is the difference between potential and actual infinity [249].mp4
12 MB
video/10 - 7 - 10.06 What are antiderivatives of ex and natural log [244].mp4
11 MB
video/12 - 10 - 12.09 In what way is summation like integration [231].mp4
11 MB
video/10 - 1 - 10.00 What does it mean to antidifferentiate [220].mp4
10 MB
video/1 - 11 - 1.10 What is the limit of a product [213].mp4
9.3 MB
video/2 - 4 - 2.03 What is the intermediate value theorem [223].mp4
8.6 MB
video/14 - 4 - 14.03 How does parts help when antidifferentiating log x [202].mp4
8.2 MB
video/12 - 1 - 12.00 What is the big deal about the fundamental theorem of calculus [213] .mp4
8.0 MB
video/2 - 15 - 2.14 BONUS Why is the limit of 2x as x approaches 10 equal to 20 [217].mp4
7.8 MB
video/15 - 1 - 15.00 What application of integration will we consider [145].mp4
7.4 MB
video/6 - 1 - 6.00 What are transcendental functions [203].mp4
7.2 MB
video/13 - 1 - 13.00 How is this course structured.mp4
7.1 MB
video/1 - 1 - 1.00 Who will help me [146].mp4
6.6 MB
video/3 - 1 - 3.00 What comes next Derivatives [137].mp4
6.0 MB
video/7 - 1 - 7.00 What applications of the derivative will we do this week [122].mp4
5.6 MB
video/8 - 1 - 8.00 What sorts of optimization problems will calculus help us solve [138].mp4
5.6 MB
video/2 - 1 - 2.00 Where are we in the course [122].mp4
5.3 MB
video/14 - 1 - 14.00 What remains to be done [129].mp4
5.3 MB
video/9 - 1 - 9.00 What is up with all the numerical analysis this week [134].mp4
5.2 MB
video/4 - 1 - 4.00 What will Week 4 bring us [121].mp4
4.9 MB
video/15 - 11 - 15.10 This title is missing a question mark. [115].mp4
4.6 MB
video/5 - 1 - 5.00 Is there anything more to learn about derivatives [100].mp4
3.3 MB
book/mooculus.pdf
2.7 MB
book/mooculus-print.pdf
2.7 MB
addons/quartersquares.pdf
87 kB
addons/hallway-corner.pdf
74 kB
addons/cosine.pdf
72 kB
addons/sliderule.pdf
66 kB
addons/log-table.pdf
62 kB
addons/arccosine.pdf
54 kB
addons/water-bowl-experiment.pdf
46 kB
addons/water-bowl-radius.pdf
43 kB
subtitles/1 - 6 - 1.05 What is the domain of square root
21 kB
subtitles/7 - 3 - 7.02 How can l'Hôpital help with limits not of the form 0-0
21 kB
subtitles/1 - 13 - 1.12 How fast does a ball move
19 kB
subtitles/1 - 2 - 1.01 What is a function
16 kB
subtitles/8 - 9 - 8.08 Where do three bubbles meet
16 kB
subtitles/4 - 7 - 4.06 What is the meaning of the derivative of the derivative
15 kB
subtitles/8 - 8 - 8.07 How do you design the best soup can
15 kB
subtitles/2 - 5 - 2.04 How can I approximate root two
14 kB
subtitles/3 - 10 - 3.09 Why is the derivative of x^2 equal to 2x
14 kB
subtitles/8 - 10 - 8.09 How large of an object can you carry around a corner
14 kB
subtitles/6 - 9 - 6.08 What are the derivatives of inverse trig functions
14 kB
subtitles/7 - 2 - 7.01 How can derivatives help us to compute limits
14 kB
subtitles/1 - 12 - 1.11 What is the limit of a quotient
13 kB
subtitles/5 - 6 - 5.05 How does the derivative of the inverse function relate to the derivative of the original function
13 kB
subtitles/5 - 2 - 5.01 What is the chain rule
13 kB
subtitles/8 - 3 - 8.02 How do I find the maximum and minimum values of f on a given domain
13 kB
subtitles/9 - 7 - 9.06 What is Newton's method
13 kB
subtitles/9 - 4 - 9.03 What happens if I repeat linear approximation
13 kB
subtitles/8 - 2 - 8.01 What is the extreme value theorem
12 kB
subtitles/4 - 11 - 4.10 How can I find extreme values
12 kB
subtitles/6 - 5 - 6.04 What is the derivative of tan x
12 kB
subtitles/6 - 4 - 6.03 What is the derivative of sine and cosine
12 kB
subtitles/4 - 14 - 4.13 What is a function which is its own derivative
12 kB
subtitles/14 - 9 - 14.08 What is the integral of sin^n x dx in terms of sin^(n-2) x dx
12 kB
subtitles/5 - 10 - 5.09 How do we justify the power rule
12 kB
subtitles/11 - 8 - 11.07 How can I approximate the area of a curved region
11 kB
subtitles/1 - 7 - 1.06 What is the limit of (x^2 - 1)-(x-1)
11 kB
subtitles/7 - 4 - 7.03 Why shouldn't I fall in love with l'Hôpital
11 kB
subtitles/12 - 11 - 12.10 What is the sum of n^4 for n = 1 to n = k
11 kB
subtitles/12 - 8 - 12.07 What is the accumulation function for sqrt(1-x^2)
11 kB
subtitles/8 - 6 - 8.05 How can you build the best fence for your sheep
11 kB
subtitles/1 - 9 - 1.08 What is the limit of sin (1-x)
10 kB
subtitles/4 - 13 - 4.12 How can I sketch a graph by hand
10 kB
subtitles/13 - 6 - 13.05 What is the integral of dx - (x^2 + 4x + 7)
9.9 kB
subtitles/14 - 10 - 14.09 Why is pi _ 22-7
9.9 kB
subtitles/5 - 9 - 5.08 How can we multiply quickly
9.9 kB
subtitles/11 - 11 - 11.10 What is the integral of x^3 from x = 1 to 2
9.9 kB
subtitles/9 - 5 - 9.04 Why is log 3 base 2 approximately 19-12
9.8 kB
subtitles/1 - 5 - 1.04 What are some real-world examples of functions
9.8 kB
subtitles/11 - 10 - 11.09 What is the integral of x^2 from x = 0 to 1
9.8 kB
subtitles/15 - 7 - 15.06 What is the volume of a thin shell
9.5 kB
subtitles/9 - 9 - 9.08 How can Newton's method help me to divide quickly
9.3 kB
subtitles/2 - 9 - 2.08 Why is infinity not a number
9.3 kB
subtitles/3 - 2 - 3.01 What is the definition of derivative
9.2 kB
subtitles/9 - 10 - 9.09 What is the mean value theorem
9.1 kB
subtitles/8 - 5 - 8.04 Why bother considering points where the function is not differentiable
9.1 kB
subtitles/4 - 10 - 4.09 What are extreme values
9.1 kB
subtitles/7 - 10 - 7.09 How quickly does the water level rise in a cone
9.0 kB
subtitles/14 - 8 - 14.07 What is the integral of sin^(2n) x dx from x = 0 to x = pi
8.7 kB
subtitles/15 - 8 - 15.07 What is the volume of a sphere with a hole drilled in it
8.7 kB
subtitles/11 - 7 - 11.06 What does area even mean
8.5 kB
subtitles/3 - 11 - 3.10 What is the derivative of x^n
8.4 kB
subtitles/4 - 6 - 4.05 How can I remember the quotient rule
8.3 kB
subtitles/9 - 8 - 9.07 What is a root of the polynomial x^5 + x^2 - 1
8.3 kB
subtitles/13 - 3 - 13.02 When I do u-substitution, what should u be
8.2 kB
subtitles/5 - 7 - 5.06 What is the derivative of log
8.1 kB
subtitles/9 - 3 - 9.02 What is the volume of an orange rind
8.0 kB
subtitles/11 - 5 - 11.04 What is the sum of the first k perfect squares
8.0 kB
subtitles/3 - 8 - 3.07 Why is a differentiable function necessarily continuous
8.0 kB
subtitles/15 - 2 - 15.01 What happens when I use thin horizontal rectangles to compute area
7.9 kB
subtitles/5 - 3 - 5.02 What is the derivative of (1+2x)^5 and sqrt(x^2 + 0.0001)
7.8 kB
subtitles/12 - 7 - 12.06 What is the area between the graphs of y = x^2 and y = 1 - x^2
7.8 kB
subtitles/12 - 6 - 12.05 What is the area between the graphs of y = sqrt(x) and y = x^2
7.8 kB
subtitles/1 - 8 - 1.07 What is the limit of (sin x)-x
7.7 kB
subtitles/12 - 3 - 12.02 How can I use the fundamental theorem of calculus to evaluate integrals
7.7 kB
subtitles/10 - 4 - 10.03 What is an antiderivative for x^n
7.6 kB
subtitles/10 - 6 - 10.05 What are antiderivatives of trigonometric functions
7.5 kB
subtitles/5 - 13 - 5.12 BONUS How does one prove the chain rule
7.4 kB
subtitles/9 - 2 - 9.01 Where does f(x+h) = f(x) + h f'(x) come from
7.4 kB
subtitles/11 - 3 - 11.02 What is the sum 1 + 2 + ... + k
7.3 kB
subtitles/11 - 6 - 11.05 What is the sum of the first k perfect cubes
7.3 kB
subtitles/4 - 3 - 4.02 Morally, why is the product rule true
7.2 kB
subtitles/2 - 3 - 2.02 What does _continuous_ mean
7.2 kB
subtitles/1 - 3 - 1.02 When are two functions the same
7.2 kB
subtitles/8 - 7 - 8.06 How large can xy be if x + y = 24
7.1 kB
subtitles/4 - 4 - 4.03 How does one justify the product rule
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subtitles/14 - 5 - 14.04 What is an antiderivative of e^x cos x
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subtitles/15 - 3 - 15.02 When should I use horizontal as opposed to vertical pieces
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subtitles/4 - 2 - 4.01 What is the derivative of f(x) g(x)
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subtitles/2 - 7 - 2.06 What does lim f(x) = infinity mean
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subtitles/9 - 11 - 9.10 Why does f'(x) _ 0 imply that f is increasing
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subtitles/9 - 6 - 9.05 What does dx mean by itself
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subtitles/13 - 11 - 13.10 Formally, why is the fundamental theorem of calculus true
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subtitles/12 - 2 - 12.01 What is the fundamental theorem of calculus
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subtitles/5 - 4 - 5.03 What is implicit differentiation
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subtitles/13 - 2 - 13.01 How does the chain rule help with antidifferentiation
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subtitles/15 - 5 - 15.04 What is the volume of a sphere
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subtitles/1 - 10 - 1.09 Morally, what is the limit of a sum
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subtitles/10 - 9 - 10.08 What is an antiderivative for e^(-x^2)
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subtitles/7 - 7 - 7.06 How fast does the shadow move
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subtitles/10 - 8 - 10.07 How difficult is factoring compared to multiplying
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subtitles/6 - 6 - 6.05 What are the derivatives of the other trigonometric functions
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subtitles/15 - 6 - 15.05 How do washers help to compute the volume of a solid of revolution
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subtitles/2 - 8 - 2.07 What is the limit f(x) as x approaches infinity
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subtitles/3 - 6 - 3.05 Why is sqrt(9999) so close to 99.995
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subtitles/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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subtitles/6 - 3 - 6.02 Why are there these other trigonometric functions
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subtitles/11 - 12 - 11.11 When is the accumulation function increasing
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subtitles/10 - 10 - 10.09 What is the antiderivative of f(mx+b)
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subtitles/10 - 2 - 10.01 How do we handle the fact that there are many antiderivatives
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subtitles/12 - 13 - 12.12 What is d-da integral f(x) dx from x = a to x = b
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subtitles/10 - 14 - 10.13 What is a slope field
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subtitles/3 - 12 - 3.11 What is the derivative of x^3 + x^2
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subtitles/11 - 13 - 11.12 What sorts of properties does the integral satisfy
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subtitles/2 - 6 - 2.05 Why is there an x so that f(x) = x
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subtitles/4 - 8 - 4.07 What does the sign of the second derivative encode
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subtitles/15 - 4 - 15.03 What does _volume_ even mean
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subtitles/5 - 12 - 5.11 How do we prove the quotient rule
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subtitles/11 - 2 - 11.01 How can I write sums using a big Sigma
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addons/water-bowl-volume.pdf
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subtitles/11 - 9 - 11.08 What is the definition of the integral of f(x) from x = a to b
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subtitles/8 - 4 - 8.03 Why do we have to bother checking the endpoints
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subtitles/14 - 7 - 14.06 What is an antiderivative of sin^(2n+1) x cos^(2n) x dx
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subtitles/3 - 9 - 3.08 What is the derivative of a constant multiple of f(x)
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subtitles/14 - 2 - 14.01 What antidifferentiation rule corresponds to the product rule in reverse
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subtitles/6 - 10 - 6.09 Why do sine and cosine oscillate
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subtitles/2 - 11 - 2.10 What is the slope of a staircase
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subtitles/3 - 13 - 3.12 Why is the derivative of a sum the sum of derivatives
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subtitles/6 - 7 - 6.06 What is the derivative of sin(x^2)
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subtitles/13 - 4 - 13.03 How should I handle the endpoints when doing u-substitution
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subtitles/10 - 12 - 10.11 Knowing my acceleration, what is my position
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subtitles/7 - 8 - 7.07 How fast does the ladder slide down the building
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subtitles/13 - 5 - 13.04 Might I want to do u-substitution more than once
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subtitles/8 - 11 - 8.10 How short of a ladder will clear a fence
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subtitles/12 - 5 - 12.04 What is the integral of x^4 dx from x = 0 to x = 1
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subtitles/9 - 12 - 9.11 Should I bother to find the point c in the mean value theorem
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subtitles/15 - 9 - 15.08 What does _length_ even mean
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subtitles/6 - 8 - 6.07 What are inverse trigonometric functions
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subtitles/12 - 9 - 12.08 Why does the Euler method resemble a Riemann sum
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subtitles/3 - 7 - 3.06 What information is recorded in the sign of the derivative
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subtitles/4 - 5 - 4.04 What is the quotient rule
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subtitles/14 - 3 - 14.02 What is an antiderivative of x e^x
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subtitles/2 - 14 - 2.13 BONUS Why is the limit of x^2 as x approaches 2 equal to 4
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subtitles/5 - 8 - 5.07 What is logarithmic differentiation
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subtitles/6 - 11 - 6.10 How can we get a formula for sin(a+b)
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subtitles/7 - 9 - 7.08 How quickly does a bowl fill with green water
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subtitles/7 - 6 - 7.05 What does a car sound like as it drives past
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subtitles/2 - 2 - 2.01 What is a one-sided limit
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subtitles/12 - 12 - 12.11 Physically, why is the fundamental theorem of calculus true
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subtitles/10 - 5 - 10.04 What is the most general antiderivative of 1-x
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subtitles/4 - 9 - 4.08 What does d-dx mean by itself
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subtitles/5 - 5 - 5.04 What is the folium of Descartes
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subtitles/4 - 12 - 4.11 Do all local minimums look basically the same when you zoom in
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subtitles/11 - 4 - 11.03 What is the sum of the first k odd numbers
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subtitles/1 - 4 - 1.03 How can more functions be made
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subtitles/2 - 13 - 2.12 BONUS What is the official definition of limit
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subtitles/6 - 13 - 6.12 How can we multiply numbers with trigonometry
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subtitles/12 - 4 - 12.03 What is the integral of sin x dx from x = 0 to x = pi
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subtitles/10 - 13 - 10.12 What is the antiderivative of sine squared
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subtitles/13 - 12 - 13.11 Without resorting to the fundamental theorem, why does substitution work
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subtitles/10 - 3 - 10.02 What is the antiderivative of a sum
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subtitles/5 - 11 - 5.10 How can logarithms help to prove the product rule
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subtitles/13 - 9 - 13.08 What is the integral of dx - (1 + cos x)
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subtitles/15 - 10 - 15.09 On the graph of y^2 = x^3, what is the length of a certain arc
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subtitles/7 - 5 - 7.04 How long until the gray goo destroys Earth
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subtitles/7 - 11 - 7.10 How quickly does a balloon fill with air
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subtitles/3 - 3 - 3.02 What is a tangent line
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subtitles/6 - 12 - 6.11 How can I approximate sin 1
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subtitles/14 - 6 - 14.05 What is an antiderivative of e^(sqrt(x))
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subtitles/11 - 1 - 11.00 If we are not differentiating, what are we going to do
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subtitles/11 - 14 - 11.13 What is the integral of sin x dx from -1 to 1
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subtitles/3 - 5 - 3.04 How does wiggling x affect f(x)
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subtitles/13 - 10 - 13.09 What is d-dx integral sin t dt from t = 0 to t = x^2
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subtitles/13 - 8 - 13.07 What is the integral of x - (x+1)^(1-3) dx
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subtitles/6 - 2 - 6.01 Why does trigonometry work
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subtitles/10 - 11 - 10.10 Knowing my velocity, what is my position
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subtitles/2 - 10 - 2.09 What is the difference between potential and actual infinity
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subtitles/13 - 1 - 13.00 How is this course structured
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subtitles/2 - 12 - 2.11 How fast does water drip from a faucet
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subtitles/10 - 1 - 10.00 What does it mean to antidifferentiate
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subtitles/12 - 10 - 12.09 In what way is summation like integration
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subtitles/10 - 7 - 10.06 What are antiderivatives of e^x and natural log
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subtitles/12 - 1 - 12.00 What is the big deal about the fundamental theorem of calculus
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subtitles/2 - 4 - 2.03 What is the intermediate value theorem
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subtitles/3 - 4 - 3.03 Why is the absolute value function not differentiable
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subtitles/6 - 1 - 6.00 What are transcendental functions
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subtitles/2 - 15 - 2.14 BONUS Why is the limit of 2x as x approaches 10 equal to 20
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subtitles/8 - 1 - 8.00 What sorts of optimization problems will calculus help us solve
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subtitles/3 - 1 - 3.00 What comes next
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subtitles/15 - 1 - 15.00 What application of integration will we consider
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subtitles/1 - 1 - 1.00 Who will help me
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subtitles/9 - 1 - 9.00 What is up with all the numerical analysis this week
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subtitles/14 - 4 - 14.03 How does parts help when antidifferentiating log x
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subtitles/14 - 1 - 14.00 What remains to be done
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subtitles/1 - 11 - 1.10 What is the limit of a product
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subtitles/2 - 1 - 2.00 Where are we in the course
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subtitles/4 - 1 - 4.00 What will Week 4 bring us
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subtitles/7 - 1 - 7.00 What applications of the derivative will we do this week
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subtitles/15 - 11 - 15.10 This title is missing a question mark. [1_15].srt
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subtitles/5 - 1 - 5.00 Is there anything more to learn about derivatives
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