# Precalculus - University of Washington

low that you get discouraged or, even worse, you give up studying **math-ematics** altogether. One purpose of this course is to introduce you to some strategies that can help you increase the rate of your mathematical A-Ha! experiences. What is a story problem? When we ask students if they like story problems, more often than not,

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**Some Remarks on Writing Mathematical Proofs**

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**Some Remarks on Writing Mathematical Proofs** John M. Lee University of Washington Mathematics Department Writingmathematicalproofsis,inmanyways,unlikeanyotherkindofwriting.

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**Electrical Circuits** - University of Washington

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Linear Algebra in **Electrical Circuits** Perhaps one of the most apparent uses of linear algebra is that which is used in **Electrical** Engineering. As most students of mathematics have encountered, when the

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Math 126C 2nd Midterm Solutions Spring 2014 3 (8points) Computetheequationofthetangentlinetothecurve r =**1**+2sinθ atthe pointwhereθ =π/6. Giveyouranswerinexactform.

**Galois Field in Cryptography** - sites.math.washington.edu

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**Galois Field in Cryptography** Christoforus Juan Benvenuto May 31, 2012 Abstract This paper introduces the basics of **Galois** Field as well as its im-

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**Working a difference quotient involving a square** root Suppose f(x) = p x and suppose we want to simplify the differnce quotient f(x+h) f(x) h as much as possible (say, to eliminate the h …

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**GALOIS THEORY** - University of Washington

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**GALOIS THEORY** We will assume on this handout that is an algebraically closed eld. This means that every irreducible polynomial in [x] is of degree 1. Suppose that F is a sub eld of and that Kis a nite extension of Fcontained in . For example, we can take = C, the eld

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924 CHAPTER17 **Markov Chains** ter the coin has been ﬂipped for the tth time and the chosen ball has been painted.The state at any time may be described by the vector [urb], where uis the number of un-painted balls in the urn, is the number of red balls in the urn, and r …

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