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{SECT 0 {PARA 256 "" 0 "" {TEXT -1 0 "" }}{PARA 257 "" 0 "" {TEXT -1 
11 "Math 2270-1" }}{PARA 258 "" 0 "" {TEXT -1 41 "MAPLE and Math Lab/C
lassroom Introduction" }}{PARA 263 "" 0 "" {TEXT 269 0 "" }{TEXT -1 9 
"Fall 2005" }}{PARA 260 "" 0 "" {TEXT -1 0 "" }}{PARA 259 "" 0 "" 
{TEXT -1 243 "   This document is an introduction for Math 2270 studen
ts who may not have done previous work with MAPLE or in the Math lab, \+
or who may just want to brush up on their skills.  An on-line version \+
of this tutorial, without Maple output, is at  " }{URLLINK 17 "http://
www.math.utah.edu/~korevaar/2270fall05/2270tut.mws" 4 "http://math.uta
h.edu/~korevaar/2250fall03/2250maple.html" "" }}{PARA 261 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 407 "The Math 2270 projects c
an be done in versions five and above of Maple, with minor changes.  T
he Math Lab, EMCB, and Marriott Library all have version 8 of Maple.  \+
A student version of Maple 9, for home computers is available from the
 bookstore for $129.95.  If you do work in Maple 9 but will want to wo
rk on the same file later using an earlier Maple version, make sure to
 save your file with this option." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 262 "" 0 "" {TEXT -1 32 "1)  Using the Math Computer Lab:" }}
{PARA 0 "" 0 "" {TEXT -1 308 "The Math Department has a walk-in comput
er lab in the Math Student Center, located underneath the plaza connec
ting JWB to LCB.  There is also a computer classroom in LCB 115. Usefu
l information about most aspects of the lab can be found by following \+
links from the Math Department web pages, e.g. starting at" }{TEXT 
271 3 "   " }{URLLINK 17 "http://www.math.utah.edu/ugrad" 4 "http://ww
w.math.utah.edu/ugrad" "" }{TEXT 298 1 " " }{TEXT 297 5 ", or " }
{URLLINK 17 "http://www.math.utah.edu/ugrad/mathcenter.html" 4 "http:/
/www.math.utah.edu/ugrad/lab" "" }{TEXT 276 1 " " }{TEXT -1 106 ". You
 can find out about lab hours, X-windows, Maple, Unix commands,  brows
ers, file editing, mail, etc.  " }}{PARA 0 "" 0 "" {TEXT -1 538 "     \+
You can access Math Department Maple (in its own window as opposed to \+
the cumbersome line command form) remotely from a linux/unix system, f
rom a mac running OSX (download the free X11 xwindows from Apple or fr
om your installation disks), or from a PC running windows if you have \+
ssh client capabilities and xwindows capabilities.  Apparently there i
s a free package for PC's called cygwin which you can download to enab
le this.  You do not want to try remote access of Maple with only a mo
dem connection, it will be unbearably slow." }}{PARA 266 "" 0 "" 
{TEXT -1 0 "" }}{PARA 265 "" 0 "" {TEXT -1 15 "1a) Logging on:" }}
{PARA 0 "" 0 "" {TEXT -1 473 "Almost all students who are registered i
n Math 2270, or in any other math class,  will already have accounts s
et up in our lab.  Since these accounts are created from University cl
ass lists,  late-registering students may not be included. Your login \+
information is NOT based on your UNID, see below.  If you're not on ou
r master list, a lab assistant can help you apply for an account - pro
vided you have brought your student I.D. to show that you are a Univer
sity student." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 154 "The lab machines are left on - move the mouse or hit a k
ey to wake yours up.  There should be a box asking for your login name
, and then for you password." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 
0 "" 0 "" {TEXT 293 15 "Your login name" }{TEXT -1 489 " will be of th
e form c-azbc, where `a',`b',`c' are your last, first, and middle init
ial, respectively and `z' is the last letter in your last name.  For e
xample, if your name is Ulysses Attila Eratosthenes, your login name w
ill be c-esua.  (Many people have the same initials, so to ensure your
 login name is unique, a digit may be added after the initials, eg.  c
-esua1, c-esua2, ...).  For people with more complex (eg.  hyphenated \+
names) only the first character of each name is used.\n\n" }{TEXT 294 
9 "Passwords" }{TEXT -1 288 "  Your initial password will be the lette
rs as in the login name, followed by the last four digits of your Univ
ersity ID number (e.g., if your UID is 123456789 and your login name i
s c-esua, then your password is esua6789) or if the login name is c-es
ua2 the password is still esua6789).\n" }}{PARA 0 "" 0 "" {TEXT -1 
249 "Once you're logged in, the default environment of our unix-based \+
system is called the common desktop environment, and you will see a ma
ple leaf icon for MAPLE, as well as a MOZILLA browser icon.  You can o
pen these programs by clicking on the icons." }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{PARA 0 "" 0 "" {TEXT 295 23 "1b)  Changing password:" }
{TEXT -1 693 " Upon first logging in you should change your password. \+
 To do so, log in, open an xterm window, then type ``passwd'' (followe
d by RETURN).  If there is a problem here try typing ``passwd'' follow
ed by your username (eg. ``passwd c-esua''). Next type your old passwo
rd (the one you used to login), and then type your new desired passwor
d twice as instructed.  Your new password is effective within 30 minut
es.  If you forget your password, request a new one (from the Lab Assi
stant in the Math Center).  Your password must consist of at least 6 c
haracters (upper and lower case letters, and digits).  You should take
 care to choose one that is very difficult to guess, and keep it to yo
urself!" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 256 
17 "1c)  Logging out:" }{TEXT -1 187 " In CDE there is a logout or exi
t icon at the bottom of your desktop.  You might also be able to find \+
it on your right mouse button, after putting your mouse cursor in a ba
ckground field." }}{PARA 0 "" 0 "" {TEXT -1 5 "     " }}{PARA 0 "" 0 "
" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 257 39 "2)  Opening browser, m
aple, mail, more:" }{TEXT -1 4 "    " }}{PARA 0 "" 0 "" {TEXT -1 303 "
For your Math 2270 purposes you need to be able to open your browser (
to download files) and Maple (to work on them).  Open  Mozilla and Map
le now: in CDE use the icons at the bottom of the desktop. You have a \+
mail utility for your math account down there as well, with icon looki
ng like some envelopes." }}{PARA 0 "" 0 "" {TEXT -1 4 "    " }}{PARA 
0 "" 0 "" {TEXT -1 0 "" }{TEXT 258 11 "3) Maple:  " }{TEXT -1 1 " " }}
{PARA 0 "" 0 "" {TEXT -1 264 "If you are starting the tutorial at this
 point (because you're doing it on your own at another location or alr
eady knew the Math Lab system), you should have opened a  maple window
, probably version 8 (versions 5,6,7, 9 should also work), as well as \+
a web browser." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 356 "Maple is partly just a very fancy calculator; it can do \+
practically any undergraduate mathematics computation or symbolic mani
pulation.  You can write programs in Maple and draw pictures as well. \+
But you can also use it to create documents which mix text with comput
ations, and you can export Maple output to other software to create in
teresting documents." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "
" {TEXT -1 663 "If you are doing a homework assignment you can intersp
erse text with computations using the toolbar:  to get a computation p
rompt click on the ``[>'' box near the top.  To insert text click on t
he ``T'' box.  Or you can change command fields (starting with \"[>\")
 into text fields by putting the cursor into them and then choosing \"
T\".  You can use the mouse to cut, paste, and edit a document.  You c
an change fonts, formats, and use other standard text editing tools by
 choosing appropriate menu items.  This document you are reading is a \+
Maple document even though it is largely text.  You will learn by doin
g - and by asking your neighbor or the lab assistant." }}{PARA 0 "" 0 
"" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 282 65 "New User's Tour, othe
r introductions, opening files from the web:" }}{PARA 0 "" 0 "" {TEXT 
-1 649 "Under the Help button at the top right of your Maple window yo
u will find the choice \"New User's Tour\".  This is a good way to lea
rn generally about what Maple can do.  After making this menu choice M
aple may hide the beginning of the tour behind other active windows;  \+
 use the \"Window\" menu item to bring the tour window to the front.  \+
 If you wish you can explore now, or you can continue with the Math 22
50 notes below and come back to the tour later.  To close the new tour
 (or any other top window), use the ``close'' option inside the ``file
'' menu item.  To keep the tour open but bring another window to the f
ront, use ``window'' menu item." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 49 "Another good introduction to Maple is loc
ated at " }{URLLINK 17 "http://www.math.utah.edu/~gardiner/Intro.mws" 
4 "" "" }{TEXT -1 369 ".  (If your computer is appropriately configure
d clicking on this hyperlink will open your browser and go to the indi
cated URL.  You can then save the file to your computer, and then open
 it from Maple if this does not happen automatically.)  Alternately, i
f you have a browser open you can open Maple files directly off the in
ternet by using clicking successively on  " }{TEXT 285 16 "File -> Ope
n URL" }{TEXT -1 135 ", in the Maple menu items at the top of the Mapl
e window.  You could try this for Angie Gardiner's introduction, or th
is one located at" }}{PARA 0 "" 0 "" {URLLINK 17 "http://www.math.utah
.edu/~korevaar/2270fall05/2270tut.mws" 4 "http://math.utah.edu/~koreva
ar/2250fall03/2250maple.html" "" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 
277 25 "Entering Maple commands: " }}{PARA 0 "" 0 "" {TEXT -1 513 "To \+
give you a brief taste of what Maple can do, we will try a few command
s.  Move your cursor into the \"Untitled\" (new) Maple window which yo
u created in step (2).  Commands begin on  lines having  a command pro
mpt ``>'', and should be ended with either a semicolon ; or a colon : \+
 If you end with a semicolon you will see visible output, if you end w
ith a colon the output will be suppressed even though the command is e
xecuted.  Maple will not execute a command until you type the ``return
'' or ``enter'' key.  " }{TEXT 259 87 "If you have a multiline command
 use ``shift-return'' to change lines without executing." }{TEXT -1 1 
" " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 696 "If
 you incorrectly align parentheses or brackets, or do something else w
hich makes your command unexecutable you will get a ``syntax error'' m
essage and Maple will try to point out your mistake with the cursor an
d cryptic diagnostic phrases.  After a while you will become good at f
ixing these mistakes but they can be annoying at first.  Spaces are ig
nored in Maple, so you may use them to make input easier to read.  You
 can enter explanatory comments in a command line by inserting a ``#''
 to the left of the comments; Maple ignores any text after the #.  Som
etimes this is more informative then entering nearby explanatory text,
 especially if you are explaining various steps in a subroutine." }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 218 " Now, le
t's try some commands. (You try just the math commands, the editorial \+
comments were only added to explain what the particular commands are i
llustrating ! )  Check that you understand what each command is doing.
" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 202 "3+4; 4+5: 6 * 7;     #one of these computations will not be s
hown\n          #even though all three will be done, illustrating the \+
\n          #difference between a semicolon and a colon\n             \+
    " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 428 "(3+4)7;       #if \+
you want to multiply you must use *, so after\n          #trying the c
ommand as given, insert a * to fix the\n          #resulting syntax er
ror.  You can execute a line or\n          #execution group (bracketed
 on the left) if\n          #your cursor is anywhere in it. You can mo
ve the\n          #cursor with the mouse or the arrow keys. Maple will
\n          #try to put it in a good place if it detects an error." }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 290 "(3+4)^2/7; 3+4^2/7; evalf(
3+4^2/7);  #the evalf  command gives a \n          #decimal approximat
ion instead of an algebraic \n          #expression. Notice that if gi
ven a choice, Maple \n          #computes powers first, then multiplie
s and divides, \n          #and finally adds or subtracts." }}}{PARA 
0 "" 0 "" {TEXT -1 149 "Maple can do computations for almost any Math \+
you can think of....see the new user's tour.  Or you can have a look a
t the varied commands in the file" }}{PARA 0 "" 0 "" {URLLINK 17 "http
://www.math.utah.edu/~korevaar/ACCESS2005/MapleExpls.mws" 4 "" "" }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 38 "Here are \+
some linear algebra examples:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 116 "with(linalg):  #loads linear algebra package...there is\n    #a
lso a newer computational package called LinearAlgebra" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 116 "A:=matrix(2,2,[1,2,3,4]);  #define
 a matrix\nB:=matrix(2,2,[-1,0,2,1]);\nv:=vector([1,2]);          #def
ine a vector  " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 119 "inverse(
A);  #matrix inverse\nevalm(A&*B); #evalm means evaluate matrix; \"&*
\" stands\n    #for multiplication of matrices" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 79 "rref(augment(A,v));  #three ways to solve Ax=v
\nevalm(A^(-1)&*v);\nlinsolve(A,v);" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" 
}}{PARA 0 "" 0 "" {TEXT 278 53 "Making new files which mix text, comma
nds and output:" }}{PARA 0 "" 0 "" {TEXT -1 200 "From the \"File\" men
u item, create a new worksheet.(It will start out being called Untitle
d(2) or something like that.  The first time you save it you can pick \+
any name you want, as long as it ends in " }{TEXT 299 4 ".mws" }{TEXT 
-1 558 ", for Maple worksheet. In your new worksheet turn the command \+
field into a text field by putting your cursor into it, and then using
 the``T'' menu item. Type in the title ``My first Maple worksheet'' (c
enter it with the menu option on the right side of the toolbar), as we
ll as your name and today's date. When you are doing your Maple projec
ts you will be expected to hand in more than a page of computations: Y
ou will be expected to add text explanations of what you've been doing
.  In general, if you move your cursor to a command field and the pres
s the " }{TEXT 279 2 "[>" }{TEXT -1 128 " button with your mouse, Mapl
e makes a new command field directly below it.  If you move to the new
 command field and press the " }{TEXT 280 1 "T" }{TEXT -1 231 " button
 you will have a text field into which you may write, using the rudime
ntary word processing tools on the Maple menu bar.  In text fields you
 may eliminate the brackets along the left margin by highlighting them
 and deleting." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 267 "" 0 "" 
{TEXT -1 13 "Saving Files:" }}{PARA 0 "" 0 "" {TEXT -1 542 "It is alwa
ys a good idea to save your maple file periodically.  Save all of your
 documents - this one, which I called 2270tut.mws (you can change the \+
name if you want), as well as your untitled documents. Use the tool ba
r, using the \"save\" option under the \"File\" menu item. The first t
ime you save a new file, and any time you use the \"save as\" option, \+
you will be asked to name your file and say where you want to keep it.
  You name it in the left part of the box, being careful to keep the s
uffix \".mws\" so that Maple knows this file is a " }{TEXT 266 1 "M" }
{TEXT -1 5 "aple " }{TEXT 267 1 "W" }{TEXT -1 4 "ork " }{TEXT 268 1 "S
" }{TEXT -1 450 "heet.  If your directory is new you probably haven't \+
made any subdirectories yet (unix command mkdir, in a local window), b
ut as you create more files you may wish to organize where you save th
em using the tree structure of  Unix directories, which you can follow
 in the right side of your saving box.  You use various UNIX commands \+
in your local or terminal window to organize your directories.  For mo
re information about this,  go to the directory" }{URLLINK 17 "http://
www.math.utah.edu/computing/" 4 "" "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" 
}}{PARA 0 "" 0 "" {TEXT -1 163 "It will probably happen some time that
 you will crash Maple long after your last save.  This will not make y
ou feel happy but will teach you an important lesson.  " }}{PARA 0 "" 
0 "" {TEXT -1 4 "    " }}{PARA 268 "" 0 "" {TEXT -1 9 "Printing:" }}
{PARA 0 "" 0 "" {TEXT -1 39 "In the menu bar click successively on  " 
}{TEXT 260 11 "file->print" }{TEXT 286 2 "->" }{TEXT 262 16 "print com
mand.  " }{TEXT 288 25 "Then in the print command" }{TEXT 287 1 " " }
{TEXT -1 241 "box choose the name of the printer you want to use.  In \+
UNIX you also need the prefix lpr -P (spaces important), which stands \+
for line printer - P.  For example, the printer in the math center roo
m 115 is called mc155c, so you want to enter " }{TEXT 292 11 "lpr -Pmc
155" }{TEXT -1 52 " into the print command box, and then  click on the
 " }{TEXT 261 5 "print" }{TEXT -1 108 " box at the bottom of the windo
w and your file should print. The print command in the room LCB 115 wo
uld be " }{TEXT 291 14 "lpr -P lcb115." }{TEXT -1 2 "  " }{TEXT 289 
131 "If you have trouble printing ask a lab assistant for help.  One g
litch which seems to occur is that figures don't print correctly. " }
{TEXT -1 211 " If this happens try modifying the print command to lpr \+
-l-Pmc155 or lpr -oraw-Pmc155.  You can also print postscript files to
 your math directory by using the \"output to file\" choice in the pri
nting dialog box." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 281 17 "Execution Groups:" }}
{PARA 0 "" 0 "" {TEXT -1 361 "You can modify the text and input using \+
the toolbar and menu options.  You will notice many brackets on the le
ft of the document.  These are execution groups.  Maple will execute e
verything in one execution group at once, and then move the cursor to \+
the next execution group.  You can create large execution groups by hi
ghlighting sections of a document, using " }{TEXT 263 42 "Edit->Split \+
or Join->Join Execution Groups" }{TEXT 264 1 "." }{TEXT 290 2 "  " }
{TEXT -1 252 "You can remove brackets by highlighting them with the mo
use and deleting them with the delete key or the menu option.  And you
 already learned how to insert new prompts or new text wherever your c
ursor is, by using the [> and T buttons on your toolbar." }}{PARA 0 "
" 0 "" {TEXT -1 0 "" }}}{MARK "77" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 
1 }{PAGENUMBERS 0 1 2 33 1 1 }