PREP - Professional Enhancement Programs of the MAA



 

Exploring Linear Algebra with Maple

A PREP Workshop

AIM log - Wednesday June 29, 10:00 am - 11:30 am

9:48 AM
Mike May: Starting the morning chat
Russell Blyth: hi
John Boncek: Good morning
Lynne Doty has joined this chat.
Derrick Head has joined this chat.
Harry Mills has joined this chat.
Parviz Khalili has joined this chat.
David Huckaby has joined this chat.
Harry Mills: Greetings.
Suzanne Riehl has joined this chat.
Steve Prothero has joined this chat.
Frank Rooney has joined this chat.
David Thomas has joined this chat.
Parviz Khalili: Good morning
Leah Wrenn Berman has joined this chat.
Steve Prothero: Steve here
Dorothy Zeiser has joined this chat.
9:50 AM
Todd Ashby has joined this chat.
Regina Souza has joined this chat.
Harry Mills: FYI: If you're still losing VNC when you copy, go into its options 
and un-check things that send YOUR moves out.
Harry Mills: Could mess up your two-way, but it's great for one-way.
Michael Siddoway has joined this chat.
Joyce Quella has joined this chat.
Marius Buliga has joined this chat.
Marius Buliga: hi.
Matt Goeke has joined this chat.
Christian Hellings has joined this chat.
Parviz Khalili: I have a simple question. How do I keep my maple page in 
Maple input by default? it keeps going back to 2D Input
Lynne Doty: Thanks to hmills; that was driving me crazy yesterday.
Harry Mills: What was the optional argument to eliminate the "_" in "_t1"
Harry Mills: Weccum.
Hugh Sanders has joined this chat.
Hugh Sanders: Hi
Russell Blyth: Hi
Leah Wrenn Berman: you put free=`t` in as an argment to your solve 
command
Russell Blyth: VNC address is unchanged
Leah Wrenn Berman: or whatever you want the parameters to be 
called
Leah Wrenn Berman: e.g., LinearSolve(A, b, free=`s`);
Russell Blyth: Reminder: the log of the AIM chat is on the web page
Harry Mills: Khalili: The suggestion (a good one) was to LEAVE the defaults 
alone and not sweat it, else you'll end up having to start instruction by having 
students tweak their defaults.
Harry Mills: Thanks leah.
Leah Wrenn Berman: no problem
9:55 AM
Harry Mills: Thanks, Russell.
Harry Mills: Regina: You have to save your AIM chat at the end. I found this 
out yesterday, after losing the tail end of our discussion.
Russell Blyth: But video not up yet
Parviz Khalili: But I have to go to insert each time to change it to maple input, 
for each line of entry!!
Christian Hellings: Tools -> Options -> Display -> Input Display will change 
the default input mode.
Harry Mills: Thanks, Hellings.
Mike May: We found that the best way to save the chat is to first cahnge the 
view to view as text.
Parviz Khalili: Thanks
Mike May: It can then be cut and pasted into a word procesor.
Mike May: Video is up
Russell Blyth: Video is up
Mike May: rtsp://165.134.240.35/LA050629am1.sdp
Steve Prothero: OK here
Russell Blyth: Any Q's while we wait for the start?
Michael Siddoway: Is there a Cayley-Hamilton chatroom?
Mike May: It is worth noting that you can use the listserve for questions among 
yourselves
Russell Blyth: Not right now - maybe at the end of this session we can set up 
some chat rooms
10:00 AM
Mike May: For example, someone asked me some questions on how to do the 
cloud of linear combinations upgrades.
Suzanne Riehl: I'd like to make a worksheet on iterative methods for solving 
linear equations. I'm having trouble since I don't know enough Maple.
Mike May: As with a standard class it is easier to think things out when the 
student is not in the room.
Parviz Khalili: I have used the command "inverse(A)" but it does not work? 
any idea
Tepper Gill has joined this chat.
Leah Wrenn Berman: try MatrixInverse(A)
Harry Mills: And you stole my thunder, Mike. I was hoping to do the harpoon 
thing as homework.
Tepper Gill: thanks
Lynne Doty: By the way, sound is much better today
Tepper Gill: what is the url
Mike May: rtsp://165.134.240.35/LA050629am1.sdp
Mike May: Same URl vor VNC
Dennis Keeler has joined this chat.
Mike May: DK - need addresses?
10:05 AM
Dennis Keeler: nope, got them. thanks.
Mike May: Great
Harry Mills: Matchett: MY version of VNC needs to have its options re-set 
each session. I had to repeat the un-check-ing move this a.m.
10:10 AM
Regina Souza: How do you bring up the problem when there is need of a row 
swap?
Regina Souza: makes sense
Regina Souza: thanks
10:15 AM
Harry Mills: Nice, the way you word the relationship between entries of L and 
"multipliers." I tend to lose 'em by trying to be 'precise' in my language. You put it 
very well.
Mike May: Maple helps you keep it clearer, I think
Mike May: video down
Michael Siddoway: Is there a way to "clean up" the subscripts?
10:20 AM
Mike May: rtsp://165.134.240.35/LA050629am2.sdpvideo up
Mike May: MS, Can you be more precise in what you mean by clean up?
Michael Siddoway: Lower dashes, "1,1"...
Mike May: Leah has pointed out that a parameter free=t specifies the variable 
used. It gets rid of the leading _
Leah Wrenn Berman: free=`t`
Mike May: I don't know how to get rid of the 1,1.
Michael Siddoway: Thanks
10:25 AM
Derrick Head: I'm having trouble with sound even after restarting the 
quicktime stream several times. I'm going to try another computer and join you 
again in a few minutes.
Mike May: DH, let me know when you need URLs
Derrick Head has left this chat.
Lynne Doty: I'm having the same trouble
Matt Goeke: Is the sound not coming through at all?
Russell Blyth: Qs?
Lynne Doty: sound back
Mike May: It is worth noting that we have shown a couple of cases where 
Russell and I used different approaches to the same material.
Mike May: We adjust for the class we have. Sometimes we don't do the same 
thing the same way.
10:30 AM
Regina Souza: for change of basis, I usually bring up diagrams to help keep 
track of ``where the vectors live'' and where they are sent too by the linear 
transformation. Do you have any worksheets using diagrams?
Tepper Gill: I have tinkered a little with maple in the document form, 
which allows one to enter equations as we would write them. Has anyone 
used this approach with maple, in the past.
Regina Souza: Did you ever use Maple to draw these diagrams? Or is it not 
worth it?
Regina Souza: yes, this is what I mean, these types of diagrams
Regina Souza: yes, and then they can read off the diagram which matrices to 
multiply to get what they want
Derrick Head has joined this chat.
10:35 AM
Derrick Head: Thanks
Regina Souza: GOt it - Maple for computations, Diagrams for the mind. 
Thanks!
Tepper Gill: Is there any downside in working with the document form?
Leah Wrenn Berman: The document form's new in maple 10, so I'm 
not sure nayone really knows yet!
Mike May: I am not sure. I have not worked with it enough to see the upside 
and downside.
Tepper Gill: Thanks
Mike May: I find the 1-D math of the worksheet easier than the 2D math of the 
document.
Dennis Keeler: Possible downside: if not formatted nicely, could be hard to 
see what order to execute commands.
Mike May: Then again I like to type rather than using the templates.
Tepper Gill: Mike, can we talk about this later
10:40 AM
Mike May: It is easy to tell the student how to reproduce typing. It is harder to 
reproduce use of palettes
Mike May: TG, yes.
Michael Siddoway: Rotate the "M"?
Harry Mills: Might be nice to add a shear transformation to this "graphics" part.
Harry Mills: I'm overjoyed. )
10:45 AM
Regina Souza: Students have difficulty to `separate' the domain from the 
image of a linear transformation - I would like to display the straight M and the 
modified M side by side instead
Parviz Khalili: That is nice
Mike May: That could be done in document mode with a table.
Regina Souza: I see - the mysterious document mode...
Michael Siddoway: Tile with equilateral triangles using [-1, 1, 1; 0, 1, 0; 0, 0, 
1] etc.?
Regina Souza: This is really neat!
Michael Siddoway has left this chat.
Mike May: video up
Michael Siddoway has joined this chat.
Mike May: video is back
10:50 AM
Harry Mills: No sound.
Mike May: we have audio, but low, so battery change
Leah Wrenn Berman: me either, until I restarted the stream
Matt Goeke has left this chat.
Mike May: audio back
Lynne Doty: audio good
John Boncek: this is indeed funny -- I had audio before and now don't.
Mike May: JB - restart QT
10:55 AM
Parviz Khalili: change the view
Mike May: PK?
Parviz Khalili: rotate
Harry Mills: Using objects is nice for 3-D renderings of INVERTIBLE 
transformations on R^3. Students can "see" them quickly, as opposed to 
mapping R^3 into a planar subspace, as was done with random points.
Matt Goeke has joined this chat.
Parviz Khalili: that is nice. Thanks
Mike May: Yes
Parviz Khalili: can we use animate to rotate
Mike May: Yes, that is a good use
Michael Siddoway: Can we draw a tetrahedron, then tile R^3 using [-1, 2/3, 
2/3, 2/3; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1] etc.?
Mike May: Haven't tried that - a project?
11:00 AM
Michael Siddoway: You can show that it's not possilbe to make a closed 
"ring" with a tetrahedron.
Harry Mills: Car parking a la "I Robot"
Mike May: :
Regina Souza: that's really great!
Regina Souza: side view, please
11:05 AM
Lynne Doty: I really like the idea that students can just alter one number of the 
shear, e.g., and see the result immediately.
Lynne Doty: I want to play with it!
Mike May: video out
Mike May: coming back with am4 shortly
Russell Blyth: back
Mike May: We are back
Harry Mills: I think this car example obviates what I was planning to do with 
the random points being superimposed on their images under a linear map. Might 
still be some value to it, but the image of the car is compelling.
Mike May: rtsp://165.134.240.35/LA050629am4.sdp
11:10 AM
Harry Mills: Yes, some of this is straight out of Lay's App's to Computer 
Graphics
11:15 AM
Parviz Khalili: It would be nice to plot both on the same system with different 
colors
11:20 AM
Mike May: Questions or chats for projects?
John Boncek has left this chat.
Tepper Gill: anyone for gram-schmit
Harry Mills: Hugh, Regina: I'm going to take a brief break and then we can get 
together as arranged yesterday.
John Boncek has joined this chat.
Steve Prothero: Gotta' go put out a departmental "fire." Bye
Suzanne Riehl: I'll join a chat on the Markov chains -- that'll help me get the 
Maple to do iterative stuff.
Steve Prothero has left this chat.
John Boncek has left this chat.
Regina Souza: ok - I'll try to start a chat from here
Marius Buliga: i'm for gramm-schmidt
Joyce Quella: gram-schmidt
Harry Mills: OK, Regina. Some of what we discussed yesterday has already 
been done by our workshop hosts.
11:25 AM
Russell Blyth: Someone for Markov/iterative methods?
Leah Wrenn Berman: I think I can set one up maybe
Russell Blyth: On what Leah?
Michael Siddoway: I'd like to work on a demonstration about using an 
equilateral triangle to form patterns in R^2.
Leah Wrenn Berman: Markov Chains
Christian Hellings: I'll jump into the Markov chat for a bit.
Lynne Doty: markov invitation please
Derrick Head has left this chat.
Derrick Head has joined this chat.
Derrick Head has left this chat.
Parviz Khalili: I need time to put together my worksheet on the least square
Dennis Keeler has left this chat.
Parviz Khalili has left this chat.
David Huckaby has left this chat.
Frank Rooney has left this chat.
11:30 AM
David Thomas has left this chat.
Michael Siddoway: A great morning. Thanks.
Michael Siddoway has left this chat.
Tepper Gill has left this chat.
Marius Buliga has left this chat.
Joyce Quella has left this chat.


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