Goto: Prof. King's page at Univ. of Florida.
Or: JK Homepage.

Modified:
Tuesday, 02Aug2016
Printed:
Sunday, 25Aug2019

Page:
http://squash.1gainesville.com/Include/thispage.shtml

2018Summer-B: MAS4203 4D70 Number Theory MTWRF5 [2PM-3:15] LIT127 (NW)

Welcome!
Our Teaching Page
has useful information for students in all of my classes.
It has **my schedule**,
LOR guidelines,
and Usually Useful Pamphlets.
One of them is the
*Checklist* (pdf)
which gives pointers on what I consider to be good mathematical
writing.
Further information is at our
class-archive URL
(I email this private URL directly to students).

Previous versions of
this nifty course
are:
Summer 2016 and
Spring 2007 and
Spring 2006 and ...

There is also a related Cryptography course

There is also a related Cryptography course

- Shuffling in to view is the
Individual Optional Project,
which is due
[if you choose to do it]
at
, on**2**PM**Friday, 10Aug2018**, at the beginning of class/party. - In one convenient location: All 9 NT quizzes so far (pdf), [Tuesday, 07Aug2018]
- Class-C, a paper-and-hensel exam, provided hours of entainment.
- The amusing Class-B is present. Available is the nifty-cool Home-B.
- The delightful Home-A was followed by the cute Class-A (pdf).
- By Monday, 09July,
please read the
Ring basics,
which has the defns of
*Group*,*Ring**Field*, as well as*zero-divisor*,*unit*, and the especially important notion of*irreducible*and*prime*elements. - In pamphlet
Multiplicative Functions (pdf)
you need to know defns of the divisor-count, divisor-sum and Euler-phi fncs, and formulas for them.

But you may ignore (and probably should) the rest of the material, for the time being. - By Thursday, 05July,
please have fully-understood (grokked)
Algorithms in Number Theory (pdf).
It uses LBolt iteratively to compute the GCD of a list of integers,
together with a Bézout-list.

Page 2 uses LBolt to solve linear congruences, e.g:Find all

*x*where 33*x*is mod-114 congruent to 18. -
While microquizzes are typically unannounced,
here are the first three:

Microquiz on Thursday, 05Jul2018, testing Lightning-bolt, and basic modular arithmetic.

Microquiz on Friday, 06July, testing*Iterated*-Lightning-bolt, modular arithmetic, Math-Greek alphabet (pdf).

Microquiz on Monday, 09July, testing*Iterated-Lightning-bolt*,*modular arithmetic*, and the*Fund. theorem of Arithmetic*(e.g, its proof using Bézout multipliers). - By Tuesday, 03July please learn the Euclidean Algorithm, in the form of the Lightning-bolt algorithm (pdf), [so called, because the update-rule looks like a lightning-bolt]. Here is a practice sheet for LBolt (pdf), with LBolt answers (txt),
- Please read W:NT through the end of section titled “Fermat”.

The various Number Theory czars who help out.

Projector | Phone-list | Blackboard | Chalk | E-Probs | Time | Humor | Haberdasher |
---|---|---|---|---|---|---|---|

Lizzie | Big Al | (everybody) | Roma | DanDan & Brandon | Jared | DJ | Scott |

In all of my courses, attendance is absolutely required (excepting illness and religious holidays). In the unfortunate event that you miss a class,you are responsibleto get all Notes / Announcements / TheWholeNineYards from a classmate, or several. All my classes have a substantial class-participation grade.

Our *main textbook* is
Elementary Number Theory.

Author: | James K. Strayer | Edition: | 2002 |

ISBN: | 1577662245 | Publisher: | Waveland (Reissue edition, blue & purple cover) |

The book at the publisher's website, and at UF Libraries.