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BASIC CALCULUS REFRESHER

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1. BASIC CALCULUS REFRESHER . Ismor Fischer, Dept. of Statistics UW-Madison 1. Introduction. This is a very condensed and simplified version of BASIC CALCULUS , which is a prerequisite for many courses in Mathematics, Statistics, Engineering, Pharmacy, etc. It is not comprehensive, and absolutely not intended to be a substitute for a one-year freshman course in differential and integral CALCULUS . You are strongly encouraged to do the included Exercises to reinforce the ideas. Important mathematical terms are in boldface; key formulas and concepts are boxed and highlighted.

Also, we can define fractional exponents in terms of roots, such as x1/2 = x, the square root of x. Similarly, x1/3 = 3 x, the cube root of x, x2/3 = (3 x) 2, etc. In general, we have xm/n = (n x) ... The “square” operation x2 and “square root” operation x1/2 = x are examples of inverse functions of one another, for x 0. That is, the ...

  Square, Root, Calculus, Exponent

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