Videos tagged “mathematics”

Statistics b: Identities involving averages
03:43The average of a sum is the sum of the averages. The average of a constant multiplied against a function is the constant multiplied by the average of the function. The average of a constant is the…
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Statistics c: Dispersion and variance
05:33The variance of a function is the average of the square of the function. For the purposes of theoretic calculations, it might be useful to express the variance using the "insideout" computation…
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Limits f: Outline of epsilondelta proof of a limit of a linear function
07:00In this video, the outline for using the epsilondelta definition to prove that the limit of a function has a particular value y = L at x = a has two main parts. First, we determine what range of…
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Limits e: Limits do not always exist
02:40An example of a situation in which a function can fail to have a limit at a value of x = a is when the function jumps discontinuously in height at that value of x. One example of a situation in which…
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Limits d: Infinite limits "at" infinity
03:32When we say that a function has an infinite limit "at" infinity, we mean that as x becomes arbitrarily large, the function becomes arbitrarily large.
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Limits c: Limits "at" infinity"
03:30When we say that a function has a limit of L "at" infinity, we mean that as x becomes arbitrarily large, the function becomes arbitrarily close to L.
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Limits b: Improper (infinite) limits
03:58When we say that the limit of a function at a value of x = a is infinity, we mean that as x becomes arbitrarily close to a, the value of the function becomes arbitrarily large.
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The Theorem of the Mean Policeman (1966)
13:38One of several films produced by Bruce and Katharine Cornwell for the Mathematical Association of America in the mid1960s addressing topics in calculus. This film explores the mean value, and Rolle's…
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A Function is a Mapping (1965)
09:58One of several films produced by Bruce and Katharine Cornwell for the Mathematical Association of America in the mid1960s addressing topics in calculus. This film explores the concept of limits.…
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