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Semester: MAS4301 Abstract.Algebra.1
Little 235

(abstract) Algebra 1 Algebra

Nostalgic?  See 2019t, 2008g, 2005t, 2003g, and current Abstract Algebra,

. 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
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.

Web Algebra on The Web

As the semester progresses, you will also need to print-out a few pages of handouts that I have prepared for you.

Our textbook is Contemporary Abstract Algebra 9th edition.

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
? ? ? ? ?

End-of-semester Algebra (Individual Optional Project) IOP (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, ??Dec2022

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.

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

Autumn 2019, DfyQ:

Math czars who helped out.

Computer&Projector Time Memory/Telepathy Blackboard E-Probs
Joey F. Tess D. Kat B. Tyler M. Abigail

Autumn 2008, DfyQ:

Our textbook is Contemporary Abstract Algebra (6th edition) .

Author: Joseph A. Gallian ISBN: 978-0-618-51471-7
Year: 2006 Publisher: Houghton Mifflin
Photo of text cover

The various Math czars who help out.

E-Probs Phone-list Chalk Blackboard Time Computer
Jessi & Andrew Sebastian Ali John Phil Steven

Below is part of Autumn 2005, Algebra.

Here is the course syllabus and First Homework Assignment (txt).

Mr. Natan Milgram has been kindly recording the Extra Problems that we occasionally invent in class. (Anyone can invent an EP, not just the Prof.) Folks posting solutions usually earn chocolate, provided by the prof. If chocolate is not your thing, then you can earn gold ingots…

Here is Z-Home (pdf). Voila Z-InClass (pdf).

Here is Y-Home (pdf) Voila Y-InClass (pdf).

Here is X-Home (pdf)

From the Spring 2003, Algebra page.

The text is Contemporary Abstract Algebra (5th edition), by J. Gallian.

You can also study this material from other algebra texts. The Marston Science Library has many good algebra texts that you may check-out.

[Image: Steaming coffee cup] Exams and Projects (Algebra)

There will be some small number of exams as well as a final exam or project. There will also be some number of pop (surprise) quizzes. I may also ask (teams of) you to present homework problems at the board.

When(2003) ExamText
03Feb Here are the joyous A-home (pdf). and A-InClass (pdf), veritable walks-in-the-park.
31Mar For the wonderful B-home (pdf) the class wrote many good essays. Among them were the Dihedral essay and Coconut essay by Robert, Matt and Carmen.
Is everyone prepared for B-InClass (pdf)?
18Apr The poly-fabulous C-home (pdf) now exists. It is due, slid u n d e r room 402 Little Hall my office door (Little Hall 402, Northeast corner) , no later than 2PM on Friday, 25Apr2003.

Horizontal rule

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Abstract Algebra