PREP - Professional Enhancement Programs of the MAA



 

Exploring Abstract Algebra with Computer Software

A PREP Workshop

AIM log - Tuesday June 29, 2:30 pm - 4:00 pm

Steve Hennagin: I got the factor group to be isomorphic to
the Klein 4-
group
Russell Blyth: Yes:
Donna Nonnenkamp: rtsp://165.134.240.35/video0629pm1.sdp
Russell Blyth: VNC is the same
Maria Fung: All OK here.
Russell Blyth: Michael, OK?
Michael Engquist: okay
Donna Nonnenkamp: vnc is 165.134.131.41
2:35 PM
Steve Hennagin: Can you use a larger font on your mac?
Russell Blyth: Actually there's no way to do that in the GAP
application
Kathryn Weld has joined this chat.
Russell Blyth: Hi Kathy
Donna Nonnenkamp: Hi
Donna Nonnenkamp: rtsp://165.134.240.35/video0629pm1.sdp
Kathryn Weld: Hi-Sorry Im late.
Donna Nonnenkamp: is the URL for quicktime
Donna Nonnenkamp: vnc is using the same IP as this morning
Maria Fung: No sound and no movement in QT now. Should I
restart? (I
already did this and it did not help...)
Donna Nonnenkamp: 165.134.131.41
Donna Nonnenkamp: The quick time address changed Maria from
this
morning
Donna Nonnenkamp: it now has pm1
Donna Nonnenkamp: rtsp://165.134.240.35/video0629pm1.sdp
Russell Blyth: Juli is showing how to get source code for
functions in
GAP
Maria Fung: I know and it is partially back... maybe my
computer is
extra slow today...
Steve Hennagin: Does GAP allow this C-like programming?
Russell Blyth: Yes
Donna Nonnenkamp: Marie -go ahead and restart quicktime and
make
sure you have the correct URL typed in
Russell Blyth: The manual has the programming stuff
Donna Nonnenkamp: Maria
Maria Fung: Yes. It is back and working OK now.
Russell Blyth: Good
Joanne Redden: S3
2:40 PM
Madeleine Gregoire: Isomorphic to S3
Russell Blyth:
Madeleine Gregoire: Part c: Isomorphic to Z2
Russell Blyth:  again
2:45 PM
Steve Hennagin: does Order(FactorGroup... generate the group
somewhere?
Maria Fung: No sound again...
Nikolaus Vonessen: Does GAP really have to construct the
factor group
in order to know its size? It should know Lagrange's
theorem.
Donna Nonnenkamp: Maria try restarting the quicktime again
Maria Fung: OK.
2:50 PM
Maria Fung: It comes and goes.. must be my computer or the
network
here...
2:55 PM
Nikolaus Vonessen: How does GAP know we are talking about a
right
coset of Z6 in D6 and not in some other larger group?
Nikolaus Vonessen: ok
Maria Fung has left this chat.
Maria Fung has joined this chat.
3:00 PM
Maria Fung: I need a reboot.... my computer is doing strange
things...
Maria Fung: Be back soon!
Donna Nonnenkamp: ok
Russell Blyth: ok maria
Maria Fung has left this chat.
Robert Quinn: can you just type D8/Z8 to get the factor
group?
Nikolaus Vonessen: D4
Juli Rainbolt: Any ideas for how to check that?
Joanne Redden has left this chat.
Joanne Redden has joined this chat.
3:05 PM
Maria Fung has joined this chat.
Donna Nonnenkamp: rtsp://165.134.240.35/video0629pm1.sdp
Maria Fung: Thanks!
Maria Fung: It is OK now... phew!
Russell Blyth: good news maria
Robert Quinn: need to reboot, Quicktime is acting up
Russell Blyth: ok - we will reinvite you to chat
Robert Quinn has left this chat.
Nikolaus Vonessen: D5
Maria Fung has left this chat.
Maria Fung has joined this chat.
3:10 PM
Russell Blyth: switching batteries and tapes - stand by
Donna Nonnenkamp: WE are going to next section and changing
batteries on sound and new quicktime URL
Steve Hennagin: do you go through the geometry with the
dihedral
groups, as illustrated by the last example?
Maria Fung has left this chat.
Donna Nonnenkamp: The new quicktime URL is
Donna Nonnenkamp: rtsp://165.134.240.35/video0629pm2.sdp
Russell Blyth: yes - in fact at this point I would explain
the conjecture
using geometry to the students
Russell Blyth: Video is up again with the new URL
Russell Blyth: Is everyone OK?
Nikolaus Vonessen: ok
Donna Nonnenkamp: Section 7
Nora Strasser: O.K.
Joanne Redden: ok.
Susan Pustejovsky: ok
Richard Wagner: ok
Madeleine Gregoire: yes
Maria Fung has joined this chat.
Donna Nonnenkamp: rtsp://165.134.240.35/video0629pm2.sdp
Donna Nonnenkamp: is the new URL - note pm2
Robert Quinn has joined this chat.
Robert Quinn: thanks
Russell Blyth: New video stream
Donna Nonnenkamp: rtsp://165.134.240.35/video0629pm2.sdp
Donna Nonnenkamp: vnc is the same 165.134.131.41
3:15 PM
Maria Fung has left this chat.
Maria Fung has joined this chat.
Russell Blyth: Maria, OK?
3:20 PM
Maria Fung has left this chat.
Maria Fung has joined this chat.
Maria Fung: OK!!
Russell Blyth: Good!
Russell Blyth: Any Qs?
Maria Fung has left this chat.
Robert Quinn: Are the video streams available for download?
Maria Fung has joined this chat.
Donna Nonnenkamp: As soon as they are hinted they will be
available.
Russell Blyth: Hinting is needed to make them download as
saved
streaming files correctly
Robert Quinn: thx
Russell Blyth: The problem is that it takes substantial
processing time,
so they will be available sometime in the next few weeks
3:25 PM
Robert Quinn: ok, I'm not getting video right now and sound
is on and
off. I think my network must be slow this afternoon.
Russell Blyth: sorry to hear that.
Russell Blyth: It might be worth closing QT and retrying
Maria Fung has left this chat.
Robert Quinn: ok
Maria Fung has joined this chat.
Steve Hennagin: can we search for an element in a list?
Maria Fung has left this chat.
3:30 PM
Maria Fung has joined this chat.
Russell Blyth: Steve, do you want just to know whether a
list contains a
given element?
Russell Blyth: Or what it's index is in the list?
Maria Fung has left this chat.
Maria Fung has joined this chat.
Russell Blyth: For the former, use "in"
Nikolaus Vonessen: I did this last evening. The answer is n
times phi(n)
Richard Wagner has left this chat.
Nikolaus Vonessen: Oops, that was for the number of autos.
For the
homos, its n^2+1
Russell Blyth: 1 in [2,3,1,4] gives true
3:35 PM
Juli Rainbolt: homework: 7.6 and 7.7
Russell Blyth: Position([2,3,1,4],1);
Russell Blyth: gives 3
Maria Fung has left this chat.
Nikolaus Vonessen: For 7.5 and 7.7, I convinced myself of
the truth of
the formula for the number of automorphisms. Do you have a
reference for a proof of the number of endomorphisms? You
can tell us
after the hw is due.
Maria Fung has joined this chat.
Russell Blyth: Steve - for Lists look at section 21 of the
online manual,
all about lists
Russell Blyth: Questions?
Maria Fung has left this chat.
Maria Fung has joined this chat.
3:40 PM
Maria Fung has left this chat.
Maria Fung has joined this chat.
Steve Hennagin: thank you for help on lists
Russell Blyth: You're welcome
3:45 PM
Maria Fung has left this chat.
Maria Fung has joined this chat.
Maria Fung: Wow, what a day... I get kicked off this
chatroom every few
minutes...
Russell Blyth: Yes, it's been rough!
Maria Fung has left this chat.
Maria Fung has joined this chat.
3:50 PM
Juli Rainbolt: intror
Russell Blyth: anyone?
Blake Boursaw: Well, if p is congruent to 1 mod 4 you
certainly will...
Blake Boursaw: (since -1 is a quadratic residue right?)
Maria Fung has left this chat.
Michael Engquist: Any suggestions for using GAP in teaching
linear
algebra?
Russell Blyth: we'll talk a little about linear algebra
later
3:55 PM
Russell Blyth: Section 11 on Vector Spaces
Russell Blyth: Better for a second course in linear algebra
perhaps than
a first course
Kathryn Weld: It seems that using Gap must really change the
flavor of
Abstract Algebra for the students. How much time in the lab?
How
much emphasis on proofs? Is it better for a second course
than a first?
Steve Hennagin: is it possible to see the text of a
user-defined
function?
Kathryn Weld: A related question: Who benefits most? Better
students
or more concrete students?
Nikolaus Vonessen: What is a "concrete student"?
4:00 PM
Russell Blyth: A user-defined function presumably is already
available
to the user?
Russell Blyth: I'm assuming a concrete student is more
concerned with
understanding algebra at the computational level
Steve Hennagin: I don't have a very good memory, so if I
read in a file
or type it in I may not remember the details later in the
session
Kathryn Weld: In Calculus, I have students who can type in
Maple
commands, but seem actually to absorb fewer concepts than
they
might without the computer... they are too weak, and use of
the
computer puts one more interface into the mix.
Steve Hennagin: but still may want to check it out
Kathryn Weld: By contrast, the best students get a lot out-
John Vogt has left this chat.
Kathryn Weld: I agree, Juli. It is a fine line.
4:05 PM
Michael Engquist: Do you have computer science students in
your
class? If so, how do they like GAP?
Kathryn Weld: Thanks all.
Back to Home Page
 
 

This PREP workshop is made possible by the NSF grant DUE: 0341481