PREP - Professional Enhancement Programs of the MAA



 

Exploring Linear Algebra with Maple

A PREP Workshop

AIM log - Tuesday June 28, 2:30 pm - 4:00 pm

2:25 PM
Mike May: Checking to see if you are ready to enter the chat
Lynne Doty has joined this chat.
Russell Blyth: hi
Parviz Khalili: hello
Michael Siddoway has joined this chat.
Steve Prothero has joined this chat.
Steve Prothero: Steve here
David Huckaby has joined this chat.
Leah Wrenn Berman: Are you expecting there to be audio on the 
quicktime?
Daniel Shown has joined this chat.
Russell Blyth: yes - we are checking here
Hugh Sanders: No audio
Russell Blyth: audio was solved - not sure what is up
Dorothy Zeiser has left this chat.
Russell Blyth: sound is back
2:30 PM
Daniel Shown: qt:rtsp://165.134.240.35/LA050628pm1.sdp
Mike May: Any Questions?
Regina Souza: is the sound supposed to be working?
Mike May: There is a third homework up
Mike May: Sound is suppoded to be working
Leah Wrenn Berman: try restarting your QT stream, if you haven't 
already
Mike May: Worksheets for tomorrow morning are out and on the web
Lynne Doty: I have my volume settings maxed; can you increase yours at all?
David Huckaby: No audio here, either. (I restarted the stream and still no 
sound.)
John Boncek has joined this chat.
Mike May: Russell is going over the latest homework
Mike May: Any questions based on that?
2:35 PM
John Boncek: Thanks -- I tried to run it, but it was an .hqx file (for the mac?)
Mike May: We will come back to your homework later today.
Mike May: Is anyone still having audio problems?
John Boncek: no audio yet here
Steve Prothero: I've got audio, but I've had to crank the volume to the max.
David Huckaby: No audio here. Daniele is working on it.
John Boncek: very low volume
Hugh Sanders: My volume is OK.
Steve Prothero: Maybe just move the mike closer...
Steve Prothero: That's much better
Lynne Doty: yes much better
Hugh Sanders: OK that is louder.
Regina Souza: I really would like to be able to past something that is typed on 
the worksheet in text and past it as Maple input - is it a bug that this is not 
possible?
2:40 PM
Joyce Quella: head phones improve the sound a lot
Leah Wrenn Berman: or, alternately, would it make sense to define 
the matrices A and B in the exercise as 2-D input so Maple knows 
about them?
Regina Souza: What does 2-D input mean? (Leah)
David Huckaby has left this chat.
Leah Wrenn Berman: Regina, it's an input method where your input 
looks like the way Maple outputs stuff
2:45 PM
Leah Wrenn Berman: E.g., if you enter a matrix in 2D Input you get 
a matrix with boxes to fill in
Dorothy Zeiser has joined this chat.
David Huckaby has joined this chat.
Michael Siddoway has left this chat.
Regina Souza: Thanks, Leah - I will try
Michael Siddoway has joined this chat.
Leah Wrenn Berman: there's a toggle in the upper left to go between 
maple input and 2d input
2:50 PM
Mike May: video down briefly
Mike May: pm2
Mike May: up
Christian Hellings: You can't predict what the variables will be, can we?
Mike May: We can always use Leah's idea of naming the variables in advance
Leah Wrenn Berman: e.g., LinearSolve(MatOfVec,B, free=`t`)
Christian Hellings: Thanks. That's nice.
3:00 PM
Dorothy Zeiser has left this chat.
Harry Mills: Showing exp(x), sinh(x), and cosh(x) are dependent reminds me 
of the fact that if you have two colors of socks...
Harry Mills: The minimum number of socks you pick in order to guarantee a 
match is 3.
Dorothy Zeiser has joined this chat.
John Boncek: Encourage them to take Numerical Analysis. 
3:05 PM
Leah Wrenn Berman: Works pretty well to just set the range instead 
of plotting y=x, also
Mike May: right
Regina Souza: wouldn't be easier to give then the formulas for sinh x and 
cosh x?
Mike May: Sure, if they have forgotten the definitions, that explains the 
dependence after they have seen it graphically
John Boncek: regina: my students would've seen those formulas in Calc II, but 
I'd guess only one or two would remember them.
Parviz Khalili has left this chat.
Parviz Khalili has joined this chat.
Regina Souza: I like the idea of `seeing' if first graphically - but I would feel 
better to give them the formula after the `experimental stage'
Parviz Khalili: I have lost both VNC and QT
Mike May: yes
Mike May: PK - restart both - you may have had a network blip
Regina Souza: I like the way you are doing it!
Parviz Khalili: I am fine
3:10 PM
Regina Souza: perfect!
3:15 PM
Mike May: video out
Mike May: it will be pm3 on my mark
Mike May: we're up
Regina Souza: Can you `factor out' the variables automatically and display the 
null space as the span of the basis of the null space?
Regina Souza: That's the way I do it "by hand"
Regina Souza: I guess we could cheat at this stage
Mike May: 
Regina Souza: and display the linear combination
3:25 PM
Leah Wrenn Berman: the command Inverse seems actually to be 
broken!
Leah Wrenn Berman: that's kind of frustrating...
Regina Souza: do you introduce right then the problem of existence of 
inverses?
Mike May: Try MatrixInverse
Leah Wrenn Berman: yep, that works---thinks
Leah Wrenn Berman: thanks
3:30 PM
Mike May: any questions?
Leah Wrenn Berman: Do you know how the RandomMatrix function 
works? Because I got the same random matrix you guys did...
Leah Wrenn Berman: which seems a little weird
Leah Wrenn Berman: Won't this mean that all the students will get 
the same random matrix, though?
Leah Wrenn Berman: thanks
3:35 PM
Harry Mills: Dumb question: Why's my Maple input always italicized?
Leah Wrenn Berman: are you using 2d input instead of maple input?
Harry Mills: The 2D input seems to be the default. I can always fish for the 
correct format. Just wanted to know if there were a quick default.
Leah Wrenn Berman: you can change that (globally, if you wish!) in 
the preferences
3:40 PM
Mike May: video off, going to pm4
Russell Blyth: we're back
Russell Blyth: all OK?
Leah Wrenn Berman: you're back, but sound's cutting in and out...
Leah Wrenn Berman: but maybe it'll fix itself
Lynne Doty: try closing QT and restarting it--that's worked for me
Mike May: Time for people to suggest things they want to see in worksheets.
Mike May: We are getting ready to break you into small groups and start group 
projects.
Regina Souza: visualization of linear dependence, linear independence, span
Leah Wrenn Berman: maybe markov chains?
Leah Wrenn Berman: or determinants?
Christian Hellings: I like the Markov Chain idea. I use that application in 
class.
Leah Wrenn Berman: yes, two separate topics
Harry Mills: We talked about adding harpoon originals to the display of linear 
combos.
Lynne Doty: Markov chains--as in visualizing movement to a stable state?
Hugh Sanders: This fall I am teaching Calculus III and the first chapter is 
vectors in 3-space. I would like to make a worksheet for work in this chapter.
Regina Souza: Least squares
Regina Souza: Gram-Schmidt
3:45 PM
Parviz Khalili: I like the least square too.
Michael Siddoway: Matrix manipulation of 2D or 3D objects
Marius Buliga: tutorial on lu decomposition.(make a procedure that shows all 
the steps in the LU decomposition).
Christian Hellings: I attempted a maple worksheet two semesters ago 
concerning generating fractal images by randomly choosing one of three linear 
transformations iteratively, but I never completed it.
Harry Mills: Re: Gram-Schmidt - To display the orthogonal projections of 
succeeding vectors.
Steve Prothero: I want to create a worksheet to demonstrate the sensitivity to 
small changes in coef in the solution
David Huckaby: A vector in the domain has a component in null(A) and a 
component in Row(A). All vectors with equal Row(A) components are sent by A 
to the same vector.
Harry Mills: Color-matching points to their images under a linear operator.
Derrick Head: I may prepare a notebook about linear algebra topics for my 
ODE class. for instance, I may introduce matrix exponentials, fundamental 
matrices, and systems of first order linear systems via a Maple lab worksheet.
Harry Mills: Connecting points in pre-image to their images under a 
transformation, perhaps with line segments in 2- or 3-space.
Michael Siddoway: Cayley-Hamilton Theorem
Joyce Quella: I liked the exercises in the Lay book a lot. I will look through it 
tonight for some ideas of things to visualize.
Mike May: Which chat do you want to be brought into?
John Boncek: My audio is in-and-out: Least squares and/or Gram Schmidt 
sound would be fine with me
Hugh Sanders: R3
Michael Siddoway has left this chat.
Dennis Keeler: determinants
Christian Hellings: I'd like to be invited to the Markov Chain chat.
Joyce Quella: linear independence
Tepper Gill has joined this chat.
Tepper Gill: thanks
3:50 PM
Mike May: Let's start with least squares, who wants in?
Lynne Doty: could you abbrev the chat groups in the main chat--I can't see 
them on your screen VNC
Steve Prothero: Count me in on LS
Parviz Khalili: I like to be onthe least squrae
John Boncek: Least squares is good for me
Lynne Doty: that's good
Tepper Gill: what is the url
Hugh Sanders: I do have a course that I sometimes teach that involves least 
squares.
Leah Wrenn Berman: QT:rtsp://165.134.240.35:80/LA050628pm4.sdp
Steve Prothero: I got the invitation, but the name is just a number -- which 
one is it?
John Boncek: oops...need to be re-invited.
John Boncek: too many tabs to keep track of!
Derrick Head: David Thomas (det10013) has an office visitor and will 
probably not return before we end. I'll talk to him about a possible joint topic with 
him.
Leah Wrenn Berman: markov chains?
Dennis Keeler: determinants
Christian Hellings: i'm in for markov
Tepper Gill: I will go with least squares
Mike May: Who else for markov
Lynne Doty: I'd like Markov
Derrick Head: I'll join the chat for determinants for now
3:55 PM
Marius Buliga: i could go for gramm-scmidt.
Mike May: Any other gram schmidt?
Mike May: Who is not in a room yet?
John Boncek: <-- needs a re-invitation to LS
Tepper Gill: i can go to gs as i am not yet in ls
Joyce Quella: Icould do gram schmidt
Harry Mills: Perhaps it's more efficient to scan today's transcript for people's 
pref. I'm interested in new/modified visuals in R2 and R3
Regina Souza: could you help us organize the group and leave the chat to be 
initialized by each group?
4:00 PM
Russell Blyth: DK - are you in a chat?
Dennis Keeler: I closed that chat because Mike opened a new one with 
Derrick.
Dennis Keeler: Yes, I'm in a chat with Derrick.
Russell Blyth: OK
Dorothy Zeiser: I'd like to join R2 R3
David Thomas has left this chat.
Harry Mills: I'm chatting with Regina about $3
Harry Mills: R3
Harry Mills: Regina's got it all scoped.
Russell Blyth: hasgcsu
Regina Souza: i invited `dzizermath' for the conversation
Russell Blyth: dzeisermath
Regina Souza: thanks
Harry Mills: Hugh's handle?
Russell Blyth: hasgcsu
Mike May: Does anyone still need to invited into a chat?
John Boncek: Me
Hugh Sanders: That's correct
John Boncek: least squares
John Boncek: no, i inadvertently declined the request
Steve Prothero: Sound gone--leaving room
Steve Prothero has left this chat.
Russell Blyth: OK all - we will see you tomorrow - continue chatting as you 
wish
David Huckaby has left this chat.
Harry Mills: *bye*
4:05 PM
Dennis Keeler: thanks.
Hugh Sanders: Thanks
Russell Blyth: bye
Russell Blyth: vnc going
Hugh Sanders: Bye
Harry Mills: *bye*
Parviz Khalili has left this chat.
Derrick Head has left this chat.
Hugh Sanders has left this chat.
John Boncek: good afternoon, all. thanks russell and mike
John Boncek has left this chat.


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