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1 - 1 - 1.00 Who will help me
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00 WHO WILL HELP ME
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1 - 10 - 1.09 Morally, what is the limit of a sum
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09 MORALLY, WHAT IS THE LIMIT OF A SUM
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1 - 11 - 1.10 What is the limit of a product
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10 WHAT IS THE LIMIT OF A PRODUCT
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1 - 12 - 1.11 What is the limit of a quotient
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11 WHAT IS THE LIMIT OF A QUOTIENT
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1 - 13 - 1.12 How fast does a ball move
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12 HOW FAST DOES A BALL MOVE
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1 - 2 - 1.01 What is a function
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01 WHAT IS A FUNCTION
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1 - 3 - 1.02 When are two functions the same
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02 WHEN ARE TWO FUNCTIONS THE SAME
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1 - 4 - 1.03 How can more functions be made
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03 HOW CAN MORE FUNCTIONS BE MADE
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1 - 5 - 1.04 What are some real-world examples of functions
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04 WHAT ARE SOME REAL-WORLD EXAMPLES OF FUNCTIONS
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1 - 6 - 1.05 What is the domain of square root
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05 WHAT IS THE DOMAIN OF SQUARE ROOT
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1 - 7 - 1.06 What is the limit of (x^2 - 1)-(x-1)
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06 WHAT IS THE LIMIT OF (X^2 - 1)-(X-1)
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1 - 8 - 1.07 What is the limit of (sin x)-x
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07 WHAT IS THE LIMIT OF (SIN X)-X
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1 - 9 - 1.08 What is the limit of sin (1-x)
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08 WHAT IS THE LIMIT OF SIN (1-X)
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10 - 1 - 10.00 What does it mean to antidifferentiate
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00 WHAT DOES IT MEAN TO ANTIDIFFERENTIATE
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10 - 10 - 10.09 What is the antiderivative of f(mx+b)
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09 WHAT IS THE ANTIDERIVATIVE OF F(MX+B)
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10 - 11 - 10.10 Knowing my velocity, what is my position
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10 KNOWING MY VELOCITY, WHAT IS MY POSITION
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10 - 12 - 10.11 Knowing my acceleration, what is my position
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11 KNOWING MY ACCELERATION, WHAT IS MY POSITION
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10 - 13 - 10.12 What is the antiderivative of sine squared
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12 WHAT IS THE ANTIDERIVATIVE OF SINE SQUARED
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10 - 14 - 10.13 What is a slope field
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13 WHAT IS A SLOPE FIELD
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10 - 2 - 10.01 How do we handle the fact that there are many antiderivatives
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01 HOW DO WE HANDLE THE FACT THAT THERE ARE MANY ANTIDERIVATIVES
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10 - 3 - 10.02 What is the antiderivative of a sum
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02 WHAT IS THE ANTIDERIVATIVE OF A SUM
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10 - 4 - 10.03 What is an antiderivative for x^n
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03 WHAT IS AN ANTIDERIVATIVE FOR X^N
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10 - 5 - 10.04 What is the most general antiderivative of 1-x
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04 WHAT IS THE MOST GENERAL ANTIDERIVATIVE OF 1-X
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10 - 6 - 10.05 What are antiderivatives of trigonometric functions
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05 WHAT ARE ANTIDERIVATIVES OF TRIGONOMETRIC FUNCTIONS
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10 - 7 - 10.06 What are antiderivatives of e^x and natural log
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06 WHAT ARE ANTIDERIVATIVES OF E^X AND NATURAL LOG
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10 - 8 - 10.07 How difficult is factoring compared to multiplying
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07 HOW DIFFICULT IS FACTORING COMPARED TO MULTIPLYING
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10 - 9 - 10.08 What is an antiderivative for e^(-x^2)
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08 WHAT IS AN ANTIDERIVATIVE FOR E^(-X^2)
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11 - 1 - 11.00 If we are not differentiating, what are we going to do
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00 IF WE ARE NOT DIFFERENTIATING, WHAT ARE WE GOING TO DO
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11 - 10 - 11.09 What is the integral of x^2 from x = 0 to 1
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09 WHAT IS THE INTEGRAL OF X^2 FROM X = 0 TO 1
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11 - 11 - 11.10 What is the integral of x^3 from x = 1 to 2
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10 WHAT IS THE INTEGRAL OF X^3 FROM X = 1 TO 2
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11 - 12 - 11.11 When is the accumulation function increasing
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11 WHEN IS THE ACCUMULATION FUNCTION INCREASING
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11 - 13 - 11.12 What sorts of properties does the integral satisfy
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12 WHAT SORTS OF PROPERTIES DOES THE INTEGRAL SATISFY
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11 - 14 - 11.13 What is the integral of sin x dx from -1 to 1
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13 WHAT IS THE INTEGRAL OF SIN X DX FROM -1 TO 1
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11 - 2 - 11.01 How can I write sums using a big Sigma
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01 HOW CAN I WRITE SUMS USING A BIG SIGMA
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11 - 3 - 11.02 What is the sum 1 + 2 + ... + k
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+ K
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11 - 4 - 11.03 What is the sum of the first k odd numbers
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03 WHAT IS THE SUM OF THE FIRST K ODD NUMBERS
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11 - 5 - 11.04 What is the sum of the first k perfect squares
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04 WHAT IS THE SUM OF THE FIRST K PERFECT SQUARES
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11 - 6 - 11.05 What is the sum of the first k perfect cubes
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05 WHAT IS THE SUM OF THE FIRST K PERFECT CUBES
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7.3 KB
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11 - 7 - 11.06 What does area even mean
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06 WHAT DOES AREA EVEN MEAN
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11 - 8 - 11.07 How can I approximate the area of a curved region
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07 HOW CAN I APPROXIMATE THE AREA OF A CURVED REGION
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11.37 KB
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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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08 WHAT IS THE DEFINITION OF THE INTEGRAL OF F(X) FROM X = A TO B
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5.85 KB
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12 - 1 - 12.00 What is the big deal about the fundamental theorem of calculus
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00 WHAT IS THE BIG DEAL ABOUT THE FUNDAMENTAL THEOREM OF CALCULUS
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3.11 KB
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12 - 10 - 12.09 In what way is summation like integration
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09 IN WHAT WAY IS SUMMATION LIKE INTEGRATION
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3.16 KB
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12 - 11 - 12.10 What is the sum of n^4 for n = 1 to n = k
|
10 WHAT IS THE SUM OF N^4 FOR N = 1 TO N = K
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12 - 12 - 12.11 Physically, why is the fundamental theorem of calculus true
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11 PHYSICALLY, WHY IS THE FUNDAMENTAL THEOREM OF CALCULUS TRUE
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4.93 KB
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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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12 WHAT IS D-DA INTEGRAL F(X) DX FROM X = A TO X = B
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6.17 KB
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12 - 2 - 12.01 What is the fundamental theorem of calculus
|
01 WHAT IS THE FUNDAMENTAL THEOREM OF CALCULUS
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6.9 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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02 HOW CAN I USE THE FUNDAMENTAL THEOREM OF CALCULUS TO EVALUATE INTEGRALS
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7.67 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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03 WHAT IS THE INTEGRAL OF SIN X DX FROM X = 0 TO X = PI
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4.32 KB
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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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04 WHAT IS THE INTEGRAL OF X^4 DX FROM X = 0 TO X = 1
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5.35 KB
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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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05 WHAT IS THE AREA BETWEEN THE GRAPHS OF Y = SQRT(X) AND Y = X^2
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7.76 KB
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12 - 7 - 12.06 What is the area between the graphs of y = x^2 and y = 1 - x^2
|
06 WHAT IS THE AREA BETWEEN THE GRAPHS OF Y = X^2 AND Y = 1 - X^2
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7.77 KB
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12 - 8 - 12.07 What is the accumulation function for sqrt(1-x^2)
|
07 WHAT IS THE ACCUMULATION FUNCTION FOR SQRT(1-X^2)
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10.71 KB
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12 - 9 - 12.08 Why does the Euler method resemble a Riemann sum
|
08 WHY DOES THE EULER METHOD RESEMBLE A RIEMANN SUM
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5.27 KB
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13 - 1 - 13.00 How is this course structured
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00 HOW IS THIS COURSE STRUCTURED
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3.38 KB
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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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09 WHAT IS D-DX INTEGRAL SIN T DT FROM T = 0 TO T = X^2
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3.8 KB
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13 - 11 - 13.10 Formally, why is the fundamental theorem of calculus true
|
10 FORMALLY, WHY IS THE FUNDAMENTAL THEOREM OF CALCULUS TRUE
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6.9 KB
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13 - 12 - 13.11 Without resorting to the fundamental theorem, why does substitution work
|
11 WITHOUT RESORTING TO THE FUNDAMENTAL THEOREM, WHY DOES SUBSTITUTION WORK
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4.3 KB
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13 - 2 - 13.01 How does the chain rule help with antidifferentiation
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01 HOW DOES THE CHAIN RULE HELP WITH ANTIDIFFERENTIATION
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6.79 KB
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13 - 3 - 13.02 When I do u-substitution, what should u be
|
02 WHEN I DO U-SUBSTITUTION, WHAT SHOULD U BE
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8.24 KB
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13 - 4 - 13.03 How should I handle the endpoints when doing u-substitution
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03 HOW SHOULD I HANDLE THE ENDPOINTS WHEN DOING U-SUBSTITUTION
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5.45 KB
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13 - 5 - 13.04 Might I want to do u-substitution more than once
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04 MIGHT I WANT TO DO U-SUBSTITUTION MORE THAN ONCE
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5.38 KB
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13 - 6 - 13.05 What is the integral of dx - (x^2 + 4x + 7)
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05 WHAT IS THE INTEGRAL OF DX - (X^2 + 4X + 7)
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9.92 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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06 WHAT IS THE INTEGRAL OF (X+10)(X-1)^10 DX FROM X = 0 TO X = 1
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6.35 KB
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13 - 8 - 13.07 What is the integral of x - (x+1)^(1-3) dx
|
07 WHAT IS THE INTEGRAL OF X - (X+1)^(1-3) DX
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3.8 KB
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13 - 9 - 13.08 What is the integral of dx - (1 + cos x)
|
08 WHAT IS THE INTEGRAL OF DX - (1 + COS X)
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4.21 KB
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14 - 1 - 14.00 What remains to be done
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00 WHAT REMAINS TO BE DONE
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2.03 KB
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14 - 10 - 14.09 Why is pi _ 22-7
|
09 WHY IS PI _ 22-7
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9.87 KB
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14 - 2 - 14.01 What antidifferentiation rule corresponds to the product rule in reverse
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01 WHAT ANTIDIFFERENTIATION RULE CORRESPONDS TO THE PRODUCT RULE IN REVERSE
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5.63 KB
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14 - 3 - 14.02 What is an antiderivative of x e^x
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02 WHAT IS AN ANTIDERIVATIVE OF X E^X
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5.15 KB
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14 - 4 - 14.03 How does parts help when antidifferentiating log x
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03 HOW DOES PARTS HELP WHEN ANTIDIFFERENTIATING LOG X
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2.06 KB
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14 - 5 - 14.04 What is an antiderivative of e^x cos x
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04 WHAT IS AN ANTIDERIVATIVE OF E^X COS X
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7.06 KB
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14 - 6 - 14.05 What is an antiderivative of e^(sqrt(x))
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05 WHAT IS AN ANTIDERIVATIVE OF E^(SQRT(X))
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3.94 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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06 WHAT IS AN ANTIDERIVATIVE OF SIN^(2N+1) X COS^(2N) X DX
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5.81 KB
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14 - 8 - 14.07 What is the integral of sin^(2n) x dx from x = 0 to x = pi
|
07 WHAT IS THE INTEGRAL OF SIN^(2N) X DX FROM X = 0 TO X = PI
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8.7 KB
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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
|
08 WHAT IS THE INTEGRAL OF SIN^N X DX IN TERMS OF SIN^(N-2) X DX
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11.83 KB
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15 - 1 - 15.00 What application of integration will we consider
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00 WHAT APPLICATION OF INTEGRATION WILL WE CONSIDER
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2.36 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
|
09 ON THE GRAPH OF Y^2 = X^3, WHAT IS THE LENGTH OF A CERTAIN ARC
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4.18 KB
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15 - 11 - 15.10 This title is missing a question mark. [1_15].srt
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SRT
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1.46 KB
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15 - 2 - 15.01 What happens when I use thin horizontal rectangles to compute area
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01 WHAT HAPPENS WHEN I USE THIN HORIZONTAL RECTANGLES TO COMPUTE AREA
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7.88 KB
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15 - 3 - 15.02 When should I use horizontal as opposed to vertical pieces
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02 WHEN SHOULD I USE HORIZONTAL AS OPPOSED TO VERTICAL PIECES
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7.05 KB
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15 - 4 - 15.03 What does _volume_ even mean
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03 WHAT DOES _VOLUME_ EVEN MEAN
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6.03 KB
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15 - 5 - 15.04 What is the volume of a sphere
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04 WHAT IS THE VOLUME OF A SPHERE
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6.78 KB
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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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05 HOW DO WASHERS HELP TO COMPUTE THE VOLUME OF A SOLID OF REVOLUTION
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6.46 KB
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15 - 7 - 15.06 What is the volume of a thin shell
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06 WHAT IS THE VOLUME OF A THIN SHELL
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9.48 KB
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15 - 8 - 15.07 What is the volume of a sphere with a hole drilled in it
|
07 WHAT IS THE VOLUME OF A SPHERE WITH A HOLE DRILLED IN IT
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8.68 KB
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15 - 9 - 15.08 What does _length_ even mean
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08 WHAT DOES _LENGTH_ EVEN MEAN
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5.3 KB
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2 - 1 - 2.00 Where are we in the course
|
00 WHERE ARE WE IN THE COURSE
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1.87 KB
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2 - 10 - 2.09 What is the difference between potential and actual infinity
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09 WHAT IS THE DIFFERENCE BETWEEN POTENTIAL AND ACTUAL INFINITY
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3.64 KB
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2 - 11 - 2.10 What is the slope of a staircase
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10 WHAT IS THE SLOPE OF A STAIRCASE
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5.56 KB
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2 - 12 - 2.11 How fast does water drip from a faucet
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11 HOW FAST DOES WATER DRIP FROM A FAUCET
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3.38 KB
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2 - 13 - 2.12 BONUS What is the official definition of limit
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12 BONUS WHAT IS THE OFFICIAL DEFINITION OF LIMIT
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4.48 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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13 BONUS WHY IS THE LIMIT OF X^2 AS X APPROACHES 2 EQUAL TO 4
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5.09 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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14 BONUS WHY IS THE LIMIT OF 2X AS X APPROACHES 10 EQUAL TO 20
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2.48 KB
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2 - 2 - 2.01 What is a one-sided limit
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01 WHAT IS A ONE-SIDED LIMIT
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4.97 KB
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2 - 3 - 2.02 What does _continuous_ mean
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02 WHAT DOES _CONTINUOUS_ MEAN
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7.18 KB
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2 - 4 - 2.03 What is the intermediate value theorem
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03 WHAT IS THE INTERMEDIATE VALUE THEOREM
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3 KB
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2 - 5 - 2.04 How can I approximate root two
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04 HOW CAN I APPROXIMATE ROOT TWO
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13.93 KB
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2 - 6 - 2.05 Why is there an x so that f(x) = x
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05 WHY IS THERE AN X SO THAT F(X) = X
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6.06 KB
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2 - 7 - 2.06 What does lim f(x) = infinity mean
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06 WHAT DOES LIM F(X) = INFINITY MEAN
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6.99 KB
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2 - 8 - 2.07 What is the limit f(x) as x approaches infinity
|
07 WHAT IS THE LIMIT F(X) AS X APPROACHES INFINITY
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6.45 KB
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2 - 9 - 2.08 Why is infinity not a number
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08 WHY IS INFINITY NOT A NUMBER
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3 - 1 - 3.00 What comes next
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00 WHAT COMES NEXT
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2.36 KB
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3 - 10 - 3.09 Why is the derivative of x^2 equal to 2x
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09 WHY IS THE DERIVATIVE OF X^2 EQUAL TO 2X
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13.93 KB
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3 - 11 - 3.10 What is the derivative of x^n
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10 WHAT IS THE DERIVATIVE OF X^N
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8.42 KB
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3 - 12 - 3.11 What is the derivative of x^3 + x^2
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11 WHAT IS THE DERIVATIVE OF X^3 + X^2
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6.1 KB
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3 - 13 - 3.12 Why is the derivative of a sum the sum of derivatives
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12 WHY IS THE DERIVATIVE OF A SUM THE SUM OF DERIVATIVES
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5.51 KB
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3 - 2 - 3.01 What is the definition of derivative
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01 WHAT IS THE DEFINITION OF DERIVATIVE
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9.25 KB
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3 - 3 - 3.02 What is a tangent line
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02 WHAT IS A TANGENT LINE
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4.11 KB
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3 - 4 - 3.03 Why is the absolute value function not differentiable
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03 WHY IS THE ABSOLUTE VALUE FUNCTION NOT DIFFERENTIABLE
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2.89 KB
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3 - 5 - 3.04 How does wiggling x affect f(x)
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04 HOW DOES WIGGLING X AFFECT F(X)
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3.83 KB
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3 - 6 - 3.05 Why is sqrt(9999) so close to 99.995
|
995
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6.37 KB
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3 - 7 - 3.06 What information is recorded in the sign of the derivative
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06 WHAT INFORMATION IS RECORDED IN THE SIGN OF THE DERIVATIVE
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5.27 KB
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3 - 8 - 3.07 Why is a differentiable function necessarily continuous
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07 WHY IS A DIFFERENTIABLE FUNCTION NECESSARILY CONTINUOUS
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3 - 9 - 3.08 What is the derivative of a constant multiple of f(x)
|
08 WHAT IS THE DERIVATIVE OF A CONSTANT MULTIPLE OF F(X)
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5.77 KB
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4 - 1 - 4.00 What will Week 4 bring us
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00 WHAT WILL WEEK 4 BRING US
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1.79 KB
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4 - 10 - 4.09 What are extreme values
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09 WHAT ARE EXTREME VALUES
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9.1 KB
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4 - 11 - 4.10 How can I find extreme values
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10 HOW CAN I FIND EXTREME VALUES
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12.45 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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11 DO ALL LOCAL MINIMUMS LOOK BASICALLY THE SAME WHEN YOU ZOOM IN
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4.58 KB
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4 - 13 - 4.12 How can I sketch a graph by hand
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12 HOW CAN I SKETCH A GRAPH BY HAND
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10.11 KB
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4 - 14 - 4.13 What is a function which is its own derivative
|
13 WHAT IS A FUNCTION WHICH IS ITS OWN DERIVATIVE
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12.1 KB
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4 - 2 - 4.01 What is the derivative of f(x) g(x)
|
01 WHAT IS THE DERIVATIVE OF F(X) G(X)
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7.03 KB
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4 - 3 - 4.02 Morally, why is the product rule true
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02 MORALLY, WHY IS THE PRODUCT RULE TRUE
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4 - 4 - 4.03 How does one justify the product rule
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03 HOW DOES ONE JUSTIFY THE PRODUCT RULE
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7.06 KB
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4 - 5 - 4.04 What is the quotient rule
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04 WHAT IS THE QUOTIENT RULE
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5.26 KB
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4 - 6 - 4.05 How can I remember the quotient rule
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05 HOW CAN I REMEMBER THE QUOTIENT RULE
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8.35 KB
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4 - 7 - 4.06 What is the meaning of the derivative of the derivative
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06 WHAT IS THE MEANING OF THE DERIVATIVE OF THE DERIVATIVE
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15.16 KB
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4 - 8 - 4.07 What does the sign of the second derivative encode
|
07 WHAT DOES THE SIGN OF THE SECOND DERIVATIVE ENCODE
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6.04 KB
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4 - 9 - 4.08 What does d-dx mean by itself
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08 WHAT DOES D-DX MEAN BY ITSELF
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4.9 KB
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5 - 1 - 5.00 Is there anything more to learn about derivatives
|
00 IS THERE ANYTHING MORE TO LEARN ABOUT DERIVATIVES
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1.18 KB
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5 - 10 - 5.09 How do we justify the power rule
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09 HOW DO WE JUSTIFY THE POWER RULE
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11.59 KB
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5 - 11 - 5.10 How can logarithms help to prove the product rule
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10 HOW CAN LOGARITHMS HELP TO PROVE THE PRODUCT RULE
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4.21 KB
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5 - 12 - 5.11 How do we prove the quotient rule
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11 HOW DO WE PROVE THE QUOTIENT RULE
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5.92 KB
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5 - 13 - 5.12 BONUS How does one prove the chain rule
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12 BONUS HOW DOES ONE PROVE THE CHAIN RULE
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7.37 KB
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5 - 2 - 5.01 What is the chain rule
|
01 WHAT IS THE CHAIN RULE
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12.99 KB
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5 - 3 - 5.02 What is the derivative of (1+2x)^5 and sqrt(x^2 + 0.0001)
|
0001)
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7.8 KB
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5 - 4 - 5.03 What is implicit differentiation
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03 WHAT IS IMPLICIT DIFFERENTIATION
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6.8 KB
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5 - 5 - 5.04 What is the folium of Descartes
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04 WHAT IS THE FOLIUM OF DESCARTES
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4.66 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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05 HOW DOES THE DERIVATIVE OF THE INVERSE FUNCTION RELATE TO THE DERIVATIVE OF THE ORIGINAL FUNCTION
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5 - 7 - 5.06 What is the derivative of log
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06 WHAT IS THE DERIVATIVE OF LOG
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8.07 KB
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5 - 8 - 5.07 What is logarithmic differentiation
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07 WHAT IS LOGARITHMIC DIFFERENTIATION
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5.05 KB
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5 - 9 - 5.08 How can we multiply quickly
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08 HOW CAN WE MULTIPLY QUICKLY
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9.86 KB
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6 - 1 - 6.00 What are transcendental functions
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00 WHAT ARE TRANSCENDENTAL FUNCTIONS
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2.8 KB
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6 - 10 - 6.09 Why do sine and cosine oscillate
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09 WHY DO SINE AND COSINE OSCILLATE
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5.58 KB
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6 - 11 - 6.10 How can we get a formula for sin(a+b)
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10 HOW CAN WE GET A FORMULA FOR SIN(A+B)
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5.02 KB
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6 - 12 - 6.11 How can I approximate sin 1
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11 HOW CAN I APPROXIMATE SIN 1
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4.01 KB
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6 - 13 - 6.12 How can we multiply numbers with trigonometry
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12 HOW CAN WE MULTIPLY NUMBERS WITH TRIGONOMETRY
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4.45 KB
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6 - 2 - 6.01 Why does trigonometry work
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01 WHY DOES TRIGONOMETRY WORK
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3.79 KB
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6 - 3 - 6.02 Why are there these other trigonometric functions
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02 WHY ARE THERE THESE OTHER TRIGONOMETRIC FUNCTIONS
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6.34 KB
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6 - 4 - 6.03 What is the derivative of sine and cosine
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03 WHAT IS THE DERIVATIVE OF SINE AND COSINE
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12.15 KB
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6 - 5 - 6.04 What is the derivative of tan x
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04 WHAT IS THE DERIVATIVE OF TAN X
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6 - 6 - 6.05 What are the derivatives of the other trigonometric functions
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05 WHAT ARE THE DERIVATIVES OF THE OTHER TRIGONOMETRIC FUNCTIONS
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6 - 7 - 6.06 What is the derivative of sin(x^2)
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06 WHAT IS THE DERIVATIVE OF SIN(X^2)
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5.48 KB
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6 - 8 - 6.07 What are inverse trigonometric functions
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07 WHAT ARE INVERSE TRIGONOMETRIC FUNCTIONS
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5.28 KB
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6 - 9 - 6.08 What are the derivatives of inverse trig functions
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08 WHAT ARE THE DERIVATIVES OF INVERSE TRIG FUNCTIONS
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13.62 KB
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7 - 1 - 7.00 What applications of the derivative will we do this week
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00 WHAT APPLICATIONS OF THE DERIVATIVE WILL WE DO THIS WEEK
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7 - 10 - 7.09 How quickly does the water level rise in a cone
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09 HOW QUICKLY DOES THE WATER LEVEL RISE IN A CONE
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7 - 11 - 7.10 How quickly does a balloon fill with air
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10 HOW QUICKLY DOES A BALLOON FILL WITH AIR
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4.13 KB
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7 - 2 - 7.01 How can derivatives help us to compute limits
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01 HOW CAN DERIVATIVES HELP US TO COMPUTE LIMITS
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13.47 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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02 HOW CAN L'HôPITAL HELP WITH LIMITS NOT OF THE FORM 0-0
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20.57 KB
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7 - 4 - 7.03 Why shouldn't I fall in love with l'Hôpital
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03 WHY SHOULDN'T I FALL IN LOVE WITH L'HôPITAL
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7 - 5 - 7.04 How long until the gray goo destroys Earth
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04 HOW LONG UNTIL THE GRAY GOO DESTROYS EARTH
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4.14 KB
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7 - 6 - 7.05 What does a car sound like as it drives past
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05 WHAT DOES A CAR SOUND LIKE AS IT DRIVES PAST
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4.98 KB
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7 - 7 - 7.06 How fast does the shadow move
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06 HOW FAST DOES THE SHADOW MOVE
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6.57 KB
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7 - 8 - 7.07 How fast does the ladder slide down the building
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07 HOW FAST DOES THE LADDER SLIDE DOWN THE BUILDING
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5.39 KB
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7 - 9 - 7.08 How quickly does a bowl fill with green water
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08 HOW QUICKLY DOES A BOWL FILL WITH GREEN WATER
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4.98 KB
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8 - 1 - 8.00 What sorts of optimization problems will calculus help us solve
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00 WHAT SORTS OF OPTIMIZATION PROBLEMS WILL CALCULUS HELP US SOLVE
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2.42 KB
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8 - 10 - 8.09 How large of an object can you carry around a corner
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09 HOW LARGE OF AN OBJECT CAN YOU CARRY AROUND A CORNER
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13.68 KB
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8 - 11 - 8.10 How short of a ladder will clear a fence
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10 HOW SHORT OF A LADDER WILL CLEAR A FENCE
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5.36 KB
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8 - 2 - 8.01 What is the extreme value theorem
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01 WHAT IS THE EXTREME VALUE THEOREM
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12.5 KB
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8 - 3 - 8.02 How do I find the maximum and minimum values of f on a given domain
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02 HOW DO I FIND THE MAXIMUM AND MINIMUM VALUES OF F ON A GIVEN DOMAIN
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12.9 KB
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8 - 4 - 8.03 Why do we have to bother checking the endpoints
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03 WHY DO WE HAVE TO BOTHER CHECKING THE ENDPOINTS
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5.82 KB
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8 - 5 - 8.04 Why bother considering points where the function is not differentiable
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04 WHY BOTHER CONSIDERING POINTS WHERE THE FUNCTION IS NOT DIFFERENTIABLE
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8 - 6 - 8.05 How can you build the best fence for your sheep
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05 HOW CAN YOU BUILD THE BEST FENCE FOR YOUR SHEEP
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10.6 KB
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8 - 7 - 8.06 How large can xy be if x + y = 24
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06 HOW LARGE CAN XY BE IF X + Y = 24
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8 - 8 - 8.07 How do you design the best soup can
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07 HOW DO YOU DESIGN THE BEST SOUP CAN
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14.76 KB
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8 - 9 - 8.08 Where do three bubbles meet
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08 WHERE DO THREE BUBBLES MEET
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16.12 KB
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9 - 1 - 9.00 What is up with all the numerical analysis this week
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00 WHAT IS UP WITH ALL THE NUMERICAL ANALYSIS THIS WEEK
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9 - 10 - 9.09 What is the mean value theorem
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09 WHAT IS THE MEAN VALUE THEOREM
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9.12 KB
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9 - 11 - 9.10 Why does f'(x) _ 0 imply that f is increasing
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10 WHY DOES F'(X) _ 0 IMPLY THAT F IS INCREASING
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6.98 KB
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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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11 SHOULD I BOTHER TO FIND THE POINT C IN THE MEAN VALUE THEOREM
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5.34 KB
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9 - 2 - 9.01 Where does f(x+h) = f(x) + h f'(x) come from
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01 WHERE DOES F(X+H) = F(X) + H F'(X) COME FROM
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9 - 3 - 9.02 What is the volume of an orange rind
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02 WHAT IS THE VOLUME OF AN ORANGE RIND
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9 - 4 - 9.03 What happens if I repeat linear approximation
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03 WHAT HAPPENS IF I REPEAT LINEAR APPROXIMATION
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12.7 KB
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9 - 5 - 9.04 Why is log 3 base 2 approximately 19-12
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04 WHY IS LOG 3 BASE 2 APPROXIMATELY 19-12
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9.78 KB
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9 - 6 - 9.05 What does dx mean by itself
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05 WHAT DOES DX MEAN BY ITSELF
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6.93 KB
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9 - 7 - 9.06 What is Newton's method
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06 WHAT IS NEWTON'S METHOD
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12.84 KB
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9 - 8 - 9.07 What is a root of the polynomial x^5 + x^2 - 1
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07 WHAT IS A ROOT OF THE POLYNOMIAL X^5 + X^2 - 1
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8.31 KB
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9 - 9 - 9.08 How can Newton's method help me to divide quickly
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08 HOW CAN NEWTON'S METHOD HELP ME TO DIVIDE QUICKLY
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9.28 KB
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![Calculus One [2013, Mathematics, WEBRip, ENG] (Video tutorial)](/static/img/no-torrent-image.png "Calculus One [2013, Mathematics, WEBRip, ENG] (Video tutorial)")
