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Precalculus - University of Washington

PrecalculusPrecalculusDavid H. CollingwoodDepartment of MathematicsUniversity of WashingtonK. David PrinceMinority Science and Engineering ProgramCollege of EngineeringUniversity of WashingtonMatthew M. ConroyDepartment of MathematicsUniversity of WashingtonJune 23, 2017iiCopyrightc 2012 University of Washington . All Rights ReservedAuthor NoteFor most of you, this course will be unlike any mathematics course youhave previously encountered. Why is this?Learning a new languageColleges and universities have been designed to help us discover, shareand apply knowledge.

iv of study per week (outside class) is a more typical estimate. In other words, for many students, this course is the equivalent of a half-time job!

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Precalculus - University of Washington

sites.math.washington.edu

Precalculus David H. Collingwood Department of Mathematics University of Washington K. David Prince Minority Science and Engineering Program College of Engineering

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Working a difference quotient involving a square root

sites.math.washington.edu

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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THE COMPLEX EXPONENTIAL FUNCTION

sites.math.washington.edu

THE COMPLEX EXPONENTIAL FUNCTION (These notes assume you are already familiar with the basic properties of complex numbers.) We make the following de nition ... we will rst verify the following form of the Law of Exponents: ei 1+i 2 = ei 1 ei 2 (2) To prove this we rst expand the right-hand side of (1) by rst multiplying out the

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GALOIS THEORY - University of Washington

sites.math.washington.edu

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

sites.math.washington.edu

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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STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS

sites.math.washington.edu

STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS Throughout, we let [a;b] be a bounded interval in R. C2([a;b]) denotes the space of functions with derivatives of second order continuous up to

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Markov Chains - University of Washington

sites.math.washington.edu

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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ZZ dA R [0 2] R - University of Washington

sites.math.washington.edu

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

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Electrical Circuits - University of Washington

sites.math.washington.edu

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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Some Remarks on Writing Mathematical Proofs

sites.math.washington.edu

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

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