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past SeLo
past Abstract Algebra
past LinA
past DfyQ
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past NT&Crypto
Combinatorics 2017-2018

Articles Michael Dyck's Contradance Index
Michael Dyck's Contradance Index

Jonathan's dances Dances/Composers (contradance) Tunes/Bands (contradance)
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Aut2022: MAS4301 3249 (14949) Abstract.Algebra.1 MWF7 [13:55-14:45] LIT235 (NE)
Little 235

(abstract) Algebra 1 Algebra

A bout of Nostalgia?  See past Abstract Algebra courses.

. Our Teaching Page has important information for my students. (It has the Notes, Exams and Links from all of my previous courses.)
The Teaching Page has my schedule, LOR guidelines, and Usually Useful Pamphlets. One of them is the ChecklistThe checklist (pdf) which gives pointers on competant mathematical writing. Further information is at our class-archive URL (I email this private URL directly to students).

Quantifiers and (“for all”  and  “there exists”) are like nitroglycerin, in that one little mis-step leads to the whole thing blowing up in your face.

There is no partial credit when it comes to Explosives and Quantifiers.

-JLF King

The various Math czars who help out.

Extra-Probs Computer&Projector Time Memory/Telepathy Blackboard
?? Brandon D. everyone ? everyone
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 substantial class-participation grade.

We may cover some material that is not in our text; e.g, applications of group-theory for solving certain games and puzzles.

Our textbook is Contemporary Abstract Algebra 9th edition.   RS

Author: Joseph A. Gallian ISBN: 9781305657960
Year: 2017 Publisher: Houghton Mifflin
Photo of text cover
It is available from the publisher as well as from online booksellers.

The various Math czars who help out.

Computer&Projector Time Memory/Telepathy Blackboard E-Probs

Web Algebra on The Web

See also general math references.
Lyrics for The Klein Four – Finite Simple Group are:
The path of love is never smooth But mine's continuous for you You're the upper bound in the chains of my heart You're my Axiom of Choice, you know it's true But lately our relation's not so well-defined And I just can't function without you I'll prove my proposition and I'm sure you'll find We're a finite simple group of order two I'm losing my identity I'm getting tensor every day And without loss of generality I will assume that you feel the same way Since every time I see you, you just quotient out The faithful image that I map into But when we're one-to-one you'll see what I'm about 'Cause we're a finite simple group of order two Our equivalence was stable, A principal love bundle sitting deep inside But then you drove a wedge between our two-forms Now everything is so complexified When we first met, we simply connected My heart was open but too dense Our system was already directed To have a finite limit, in some sense I'm living in the kernel of a rank-one map From my domain, its image looks so blue, 'Cause all I see are zeroes, it's a cruel trap But we're a finite simple group of order two I'm not the smoothest operator in my class, But we're a mirror pair, me and you, So let's apply forgetful functors to the past And be a finite simple group, a finite simple group, Let's be a finite simple group of order two (Oughter: "Why not three?") I've proved my proposition now, as you can see, So let's both be associative and free And by corollary, this shows you and I to be Purely inseparable. Q. E. D.
Lyrics by Matt Salomone

End-of-semester Algebra (Individual Optional Project) IOP-Y (pdf)


...will be due, slid u n d e r room 402 Little Hall my office door (Little Hall 402, Northeast corner) , no later than 2PM, Thursday, 7Dec2022

The IOP must be carefully typed, but diagrams may be hand-drawn.

For the typesetting, one possibility is the (free) mathematics-typesetting language LaTeX.

At all times have a paper copy you can hand-in; I do NOT accept electronic versions. Print out a copy each day, so that you always have the latest version to hand-in; this, in case your printer or computer fails. (You are too old for My dog ate my homework.)

Please follow the guidelines on the Checklist Checklist (pdf, 3pages) to earn full credit.

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Abstract Algebra