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18 May 2010 00:24
in discussion general discussion / announcements » Group Project

Group Project by , 18 May 2010 00:24

The take-home portion of Exam 3 has been released into the wild. You can find it here. Please let me know if you see any typos.

Also, don't forget to add an entry to the chapter summaries. Like last time, for this round, each individual only needs to do one.

Take-home portion of Exam 3 by , 12 May 2010 02:31
09 May 2010 12:23
in discussion general discussion / announcements » Google Docs & LaTeX

I just found about a pretty cool integration between Google Docs and LaTeX using a free service called LaTeX Lab, which you can find here:

Google Docs already had the ability to insert math symbols, but this is pretty limited. With LaTeX Lab, you have the full power of LaTeX and all of the cool collaboration tools of Google Docs.

Google Docs & LaTeX by , 09 May 2010 12:23

My idea for giving group projects and having y'all write them up on the wiki was partially inspired by projects that a colleague of mine had his students complete for a Real Analysis course. My colleague assigned two projects during the semester. The description and guidelines for the second project are found here. If you scroll to the bottom, you will see links for what each of the groups produced for their respective projects. Take a look to get a feel for what I intended for you to produce. It probably would have been a good idea to show this to you in advance, but it just occurred to me. The lesson that I've learned is that I need to be more clear on my level of expectations.

Examples of "good" group projects by , 06 May 2010 16:10
06 May 2010 11:40
in discussion general discussion / announcements » Math distraction

lol:)

Cathy Fulkerson Ajamie

Re: Math distraction by , 06 May 2010 11:40
05 May 2010 18:13
in discussion general discussion / announcements » Math distraction

Awesome! I'll be working on these during today's faculty meeting. Thanks for sharing.

Re: Math distraction by , 05 May 2010 18:13
05 May 2010 16:06
in discussion general discussion / announcements » Math distraction

Cathy Fulkerson Ajamie

Math distraction by , 05 May 2010 16:06

icb i just found these they are great….thanks

Re: LaTeX Help for Beginners by , 04 May 2010 02:42
04 May 2010 02:25
in discussion general discussion / help! » normal symbol

This is for normal: $\trianglelefteq$, which means "normal subgroup of" and the LaTeX code is \trianglelefteq.

Cathy Fulkerson Ajamie

normal symbol by , 04 May 2010 02:25
04 May 2010 01:46
in discussion general discussion / help! » Chap. 9 Summaries

Re: Chap. 9 Summaries by , 04 May 2010 01:46
04 May 2010 01:44
in discussion general discussion / help! » Chap. 9 Summaries

Friendly reminder to create the Chap. 9 summary page so we can post our hearts out. Thanks.

Cathy Fulkerson Ajamie

Chap. 9 Summaries by , 04 May 2010 01:44

Most of the groups still have some work to do on the draft of your project write-up. Some of you asked me for an extension on this component, but regardless, each group needs to have at least two members of your group meet with me this week to discuss your project. It might be a good idea to review the requirements of the group project.

Yesterday's NY Times included an opinion article about group theory. It's a quick read and discusses the group $V_4$ in some detail. It also mentions the book Visual Group Theory, which I used last summer for a course and is written by the same person that created the computer program Group Explorer. You can find the article here.

27 Apr 2010 10:23
in discussion general discussion / help! » 8.32

You would have to check that the the map you defined is an isomorphism. Is it? If you already checked this, then you can just quote a previous result. However, it is much easier to just check that $\langle 2 \rangle =U(5)$, so that $U(5)$ is cyclic. What must a cyclic group of order 4 be isomorphic to?

Re: 8.32 by , 27 Apr 2010 10:23
27 Apr 2010 10:17
in discussion general discussion / help! » HW 19 Hints

Good catch. The second occurrence of "symmetric" has been replaced with "transitive." Also, one "proof" in the hint for Exercise 8.7 has been replaced with "prove," as it should be.

Thanks for pointing these out.

Re: HW 19 Hints by , 27 Apr 2010 10:17
27 Apr 2010 02:55
in discussion general discussion / help! » 8.32

is it enough to say; we see that $|U(5)| = 4$ since $U(5) ={1,2,3,4}$ and $|Z_4| =4$ since $Z_4= {0,1,2,3}.$ Define $\psi : \psi(z)= (z+1) mod_4$ and this is iso by the theorem proved in homework problem #7 ??

8.32 by , 27 Apr 2010 02:55
27 Apr 2010 01:49
in discussion general discussion / help! » HW 19 Hints

FYI:
I think that the last sentence for hint for 8.31 should refer to "symmetric (blah), reflexive (blah), and transitive (not symmetric as it is now) ( blah). "

And the hint for 8.7 should say "prove" instead of "proof" in the first sentence or so.

Cathy Fulkerson Ajamie

HW 19 Hints by , 27 Apr 2010 01:49
20 Apr 2010 12:03
in discussion general discussion / announcements » Cayley diagrams

Matt, I'm sorry for the delayed reply. With yesterday's email blackout, it never occurred to me to check the forum (duh!). I hope you sorted this out. If not, I can show you later.

Re: Cayley diagrams by , 20 Apr 2010 12:03
20 Apr 2010 12:00
in discussion general discussion / help! » 5.12

Sorry for the late reply (I'm typing this while you are taking your exam). To show $gH=Hg$, it is enough to containment in one direction. This is part of that lemma with all the equivalences.

Re: 5.12 by , 20 Apr 2010 12:00
20 Apr 2010 11:51
in discussion general discussion / help! » HELP DANA!!!

Sorry for the very delayed response. With yesterday's email blackout, it never occurred to me to check the forum for new posts. Sorry about that. It seems that y'all figured it out alright.

Re: HELP DANA!!! by , 20 Apr 2010 11:51
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