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L1 Contradance program
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L4 Contradance program
L5 Contradance program
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Complex Vars 2017g
NT & Math Crypto 2016g
2018Summer-B: MAS4203 4D70 Number Theory MTWRF5 [2PM-3:15] LIT127 (NW)
Number Theory 1
Our Teaching Page
has useful information for students in all of my classes.
It has my schedule,
and Usually Useful Pamphlets.
One of them is the
which gives pointers on what I consider to be good mathematical
Further information is at our
(I email this private URL directly to students).
- Shuffling in to view is the
Individual Optional Project,
which is due
[if you choose to do it]
at 2PM, on Friday, 10Aug2018,
at the beginning of class/party.
- In one convenient location:
NT quizzes so far (pdf),
Class-C, a paper-and-hensel exam,
provided hours of entainment.
It now has all solns, nicely typeset.
The amusing Class-B, now with all solns,
along with a
b² + 5c² list-of-primes.
Available is the nifty-cool
- The delightful
now has solns.
It was followed by the cute
[in which Sieve-Brain meant to state EFT, but instead
only stated a special case],
which now has solns.
- By Monday, 09July,
please read the
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 33x 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,
modular arithmetic, Math-Greek alphabet (pdf).
Microquiz on Monday, 09July,
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),
LBolt answers (txt),
- Please read W:NT
through the end of section titled “Fermat”.
The various Number Theory czars who help out.
||DanDan & Brandon
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
responsible to get all
Notes / Announcements / TheWholeNineYards
from a classmate, or several.
All my classes have a
Our main textbook is
Elementary Number Theory.
|Author: ||James K. Strayer
||Waveland (Reissue edition, blue & purple cover)
JK Home page