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

Modified:
Sunday, 01Mar2020
Printed:
Friday, 29May2020

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

Aut2019: MAS4301 09B1 (16963) Abstract.Algebra.1 MWF5 [11:45-12:35] LIT219 (SW)

...was due, slid u n d e r my office door (Little Hall 402, Northeast corner) , no later than 2PM, Thursday, 05Dec2019

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

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

**At all times** have a **paper copy** you can hand-in; I do
** NOT** accept
electronic versions.
Print out a copy

My dog ate my homework.)

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

.
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).

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 responsibleto get all Notes / Announcements / TheWholeNineYards from a classmate, or several. All my classes have a substantial class-participation grade.

- Knocking impeachment hearings off the front page of the entertainment section, the nifty two-tone Class-C. now has complete solns. Eager, energetic students studied them in detail…
- A useful reference is
Group Notes (pdf).
[Thursday, 21Nov2019]
See also Burnside's lemma and its application to Counting necklaces.

We dicussed in class the commutator of two elements in a group.

- In one convenient location:
All 8
Alg quizzes so far (pdf),
[Friday, 22Nov2019]

*In this*quizzes

link, please have read the binomial/multinomial conventions on page 2, together with Operations on Sets. - Our TicTacToe-ish
Home-B was pictorial, and now has solns.

It wouldn't surprise me if you are curious about Enumerating TTT-automorphisms for 4x4, and the reasoning involved.

While we're on this topic, I'm looking for suggestions on clever names for some of the 4x4 TTT-automorphism pictures.

The nifty Class-B now has all solns. Please go over it in detail.

- Available are illustrative solns to some HW problems from Gallian.
- Our thought-provoking
Home-A
has complete solns.

The Wikipedia page on permutations is useful, as is Lagrange's thm that the order of a subgp divides the order of the enclosing group.

My old notes on permutations use**different**convensions from what Gallian and we are using this semester, but I want to refer to it in class today.

The thrilling Class-A now has complete solns. - In order to facilitate for students posting solns to our Archive, in addition to Gallian, we will use Abstract Algebra: Theory and Applications by Thomas Judson (2016 Edition), an online text made publicly available by its author. Students will be posting solns both from their edition of Gallian, as well as Judson text, as well as any interesting algebra problems students create.
- Here is the first posting assignment for the weekend of Sept. 7,8.
- Our Algebra syllabus/calendar.
- Does Zero = One? (pdf).
Here are some
~~proofs~~*poofs*about which you can post to our Archive. - Nostalgic?, see the 2008g, 2005t, 2003g page.
- [Old] Have read and throughly understood Set-builder notation (up through “Equivalent predicates...”).
- [Old] Have learned the Math-Greek alphabet (pdf). which we will use in class frequently.
- [Old] You looked at this Practice-prereq (pdf) to see what you might want to review.

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, applications of group-theory for solving certain games and puzzles.

Our textbook is
Contemporary Abstract Algebra
9^{th} edition.

Author: | Joseph A. Gallian | ISBN: | 9781305657960 |

Year: | 2017 | Publisher: | Houghton Mifflin |

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 |
---|---|---|---|---|

Joey F. | Tess D. | Kat B. | Tyler M. |
Abigail |

The Web

- Alg. T/F at Gallian's website.
- Group Explorer. I have not reviewed this.