(As of 10Jan2006) Welcome to Elem. Number Theory
S2006: MAS4203 3173 INTRO.NUMBER.THEORY MWF5 LIT223
Prof. Jonathan King squash@math.ufl.edu
Dept. of Mathematics http://www.math.ufl.edu/~squash/
402 Little Hall (Top floor, NE corner) 392-0281 x270
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What primes are SOTS (the Sum of Two Squares)? Is there a finite
number of squares that represent ALL positive integers? How does
public-key cryptography use NT, and what does the "Euler Phi
Function" have to do with it?
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Our textbook is Fundamentals of Number Theory by William J
LeVeque. It is published by Dover Publications. ISBN: 0-486-68906-9
which is in the UF bookstore, and other local bookstores. As the
semester progresses, you will also need to print-out a few pages of
handouts that I have prepared for you,
We will cover some material that is not in our text; in particular,
some primality-testing algorithms.
SYLLABUS: Chapters 1-8 (Legendre's Thm, Pell's Equation) as well as
the cryptography material.
REQUIREMENT: You will need to be able to print out POSTSCRIPT
(.ps) files, and PDF files. Please install (free)
postscript-printing software ASAP.
Teaching Page: http://www.math.ufl.edu/~squash/teaching.html
Course Page: http://www.math.ufl.edu/~squash/course.numt1.2006g.html
Archive: http://www.math.ufl.edu/~squash/NTArc/maillist.html
Please keep our archive private to our class.
There will be four or three exams, A,B,C, (D). Exam A will have a
take-home part (A-home) and an in-class part (A-class). For the
take-home you will work in TEAMS of (usually) 3 students. The
take-home must be carefully typed and proofread. You will have about 1
week for the take-home part. Each student needs to be in Gainesville
during all the week of the exam, as you are responsible to your
teammates. Take-home exams are open notes/library and you may use
calculators and computers.
Each student takes the in-class part individually; his score on A is
that of A-home plus A-class. Exams B,C,(D) run similarly, but the
last exam will have no in-class component. The last take-home will be
due around the last week of class, probably on Thursday 27April, or on
Friday morning 28April.
There will be NO final exam. The in-class exams are open-brain, closed
book/notes/calculators. Dates of exams are to be determined. There
will also be a small number of "miniscores"; quizzes, graded-hw,
in-class presentations...
ADDITION: On Friday, 10March2006, class is canceled. (It is the
class-day before Spring Break.) Also the inclass components of the
exams will be given in evenings, so that you can have a full 90minutes
to work on them.
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