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{SECT 0 {PARA 259 "" 0 "" {TEXT -1 0 "" }{TEXT 289 0 "" }{TEXT 290 26 
"Calculus II -- worksheet 1" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 
256 "" 0 "" {TEXT -1 0 "" }{TEXT 258 73 "A first-exposure-to-Maple sho
wing a simple plot of some inverse functions" }{TEXT 259 1 " " }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 257 "" 0 "" {TEXT 256 19 "Author
: Carl Devore" }{TEXT 257 0 "" }{TEXT -1 23 " <devore@math.udel.edu>" 
}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 16 "13 Febr
uary 2002" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 
0 "" }{TEXT 260 9 "Audience:" }}{PARA 0 "" 0 "" {TEXT -1 68 "Second-se
mester calculus students who are first-time users of Maple." }}{PARA 
0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 276 0 "
" }{TEXT -1 0 "" }{TEXT 277 11 "Objectives:" }}{PARA 0 "" 0 "" {TEXT 
-1 49 " 1.  Basic features of the worksheet environment." }}{PARA 0 "
" 0 "" {TEXT -1 64 " 2.  Expressions, operators, plotting, names, list
s, assignments" }}{PARA 0 "" 0 "" {TEXT -1 62 " 3.  Mirror-image prope
rty of the graphs of inverse functions." }}{PARA 0 "" 0 "" {TEXT -1 
28 " 4.  Making plots look nice." }}{PARA 0 "" 0 "" {TEXT -1 18 " 5.  \+
Getting help." }}{PARA 0 "" 0 "" {TEXT -1 42 " 6. Avoiding a few of th
e common mistakes." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }{TEXT 278 20 "Note to Instructors:" }}{PARA 0 "" 0 "" 
{TEXT -1 253 "I usually begin my very first Maple class with a blank w
orksheet, and I tell the students to type ?plot.  I get them to figure
 out as much as they can on their own, with some guidance.  It is only
 after the class is over that I send them this worksheet." }}{SECT 1 
{PARA 3 "" 0 "" {TEXT -1 10 "Worksheets" }}{PARA 0 "" 0 "" {TEXT -1 
34 "This document is an example Maple " }{TEXT 287 9 "worksheet" }
{TEXT -1 304 ".  The worksheet environment allows you to put neatly fo
rmatted text, computations,  programs, and the programs' output, inclu
ding graphics output, all in one neat document.   This area of this do
cument is a text field.  You enter text here pretty much the same way \+
as you do in any word processor, with " }{TEXT 279 7 "italics" }{TEXT 
-1 2 ", " }{TEXT 280 10 "boldface, " }{TEXT 281 15 "different fonts" }
{TEXT 282 6 ", etc." }{TEXT 283 2 "  " }{TEXT 284 242 "It's a pretty g
ood word processor, but it's not as good as Microsoft Word for example
.  You could use Maple as a word processor to type out mathematical fo
rmulas in the standard notation without having Maple do any computatio
ns.  For example," }}{PARA 258 "" 0 "" {XPPEDIT 18 0 "Int(x^2,x) = x^4
/4+C;" "6#/-%$IntG6$*$%\"xG\"\"#F(,&*&F(\"\"%F,!\"\"\"\"\"%\"CGF." }
{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 210 "Note that I intentional
ly put the wrong answer for the integral there.  That is to emphasize \+
that I was only using Maple as a mathematical word processor rather th
an using Maple to do mathematical computations." }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 286 180 "Please click on \"Help
\", then turn on \"Ballon Help\", and familiarize yourself with the va
rious controls on the toolbars.  Just ignore for now any options that \+
you do not understand." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 
0 "" {TEXT -1 120 "The fields that begin with \">\" are where you ente
r commands or programs.  These command-input fields are referred to as
 " }{TEXT 285 16 "Execution Groups" }{TEXT -1 168 " by the controls on
 the toolbars.  Several \">' may be grouped into a single execution gr
oup.  The grouping is indicated by the fine square brackets in the  le
ft margin." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "`Your command \+
could go here`;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 179 "Please expand
 the sections below by clicking on the boxes in the left margin.  Then
 put your cursor on the first red command line and press Enter or Retu
rn to execute the command." }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT 261 39 "
Expressions, Variables, and Assignments" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 5 " x^2;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 300 "Maple's
 response to the command is printed in blue (unless you asked for a pl
ot), using somewhat standard mathematical notation.   This particular \+
command didn't ask Maple to do anything, so it just translates what yo
u typed into mathematical notation and displays it (this process is re
ferred to as " }{TEXT 262 15 "pretty-printing" }{TEXT -1 207 ").   So \+
we see that the symbol ^ is used to represent exponentiation.  Every c
ommand either ends with a semicolon or a colon.  Using a colon tells M
aple to do the computations, but don't display the results." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "x^2:" }}}{EXCHG {PARA 0 "" 0 
"" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 168 "The results of any co
mmand can be stored in a variable for later use by using \":=\", and i
t is usually a good idea to do so.  In this case, we wish to plot the \+
function " }{XPPEDIT 18 0 "f(x) = x^2;" "6#/-%\"fG6#%\"xG*$F'\"\"#" }
{TEXT -1 31 ".   I will take the expression " }{XPPEDIT 18 0 "x^2;" "6
#*$%\"xG\"\"#" }{TEXT -1 33 " and assign it to the variable f." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "f:= x^2;" }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 231 "Unfortunately, all of the following commands are \+
meaningful to Maple, and they all do different things.  So Maple does \+
not warn you when you enter one of the following commands, even though
 it is almost certainly not what you want:" }}{PARA 0 "" 0 "" {TEXT 
-1 10 "   f= x^2;" }}{PARA 0 "" 0 "" {TEXT -1 10 "   f: x^2;" }}{PARA 
0 "" 0 "" {TEXT -1 14 "   f(x):= x^2;" }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}{PARA 0 "" 0 "" {TEXT -1 111 "Also note that capital and lower cas
e letters represent different variables, just as in ordinary math nota
tion." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 217 
"One feature of Maple that makes it very sophisticated compared to oth
er computer languages is that any string of characters, no matter how \+
weird, can be made into a variable by enclosing it in backwards single
 quotes:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "`x^2`:= x^2;" }
}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 141 "The three types of quote marks \+
all mean something different to Maple, so, unfortunately, it usually w
on't warn you if you use the wrong type." }}{PARA 0 "" 0 "" {TEXT -1 
0 "" }}{PARA 0 "" 0 "" {TEXT -1 49 "Now whenever I refer to f, Maple w
ill substitute " }{XPPEDIT 18 0 "x^2;" "6#*$%\"xG\"\"#" }{TEXT -1 1 ".
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "f;" }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 66 "I can combine f with something else, and it will s
till substitute " }{XPPEDIT 18 0 "x^2;" "6#*$%\"xG\"\"#" }{TEXT -1 1 "
." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "f+1;" }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 87 "Note that Maple sometimes has its own idea abou
t the order to print an expression in..." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 4 "1+f;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 71 "...but, o
f course, this is mathematically equivalent to what you typed." }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 88 "Multiplication is expressed in Map
le with *, just like in almost all computer languages." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "2*f;" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 98 "You must always use * for multipliction.  Juxtaposition c
annot be used to indicate multiplication:" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 3 "2x;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 56 "Fortunat
ely, Maple gives a warning in this case.  But..." }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 3 "x2;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 111 "T
hat is just another variable name to Maple, so it is not an error.  Bu
t it has nothing to do with multiplying." }}{PARA 0 "" 0 "" {TEXT -1 
0 "" }}{PARA 0 "" 0 "" {TEXT -1 199 "Division is /.  The standard orde
r of operations is in effect:  Parenheses first, then Exponentiations,
 then Muliplications and Divisions left to right, then Additions and S
ubtractions left to right." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 
"" 0 "" {TEXT -1 10 " Compare: " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 43 "x+1/2*x; (x+1)/(2*x); x+1/(2*x); (x+1)/2-x;" }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 53 "Note that several commands can be placed on one
 line." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 58 "To continue with the mathematical example, the inverse of
 " }{XPPEDIT 18 0 "x^2;" "6#*$%\"xG\"\"#" }{TEXT -1 6 ", for " }
{XPPEDIT 18 0 "x;" "6#%\"xG" }{TEXT -1 9 " > 0, is " }{XPPEDIT 18 0 "s
qrt(x);" "6#-%%sqrtG6#%\"xG" }{TEXT -1 266 ".  This can be entered in \+
Maple as sqrt(x) or x^(1/2).  In either case, it is essential that you
 use the parentheses.  Once again, Maple will usually not warn you if \+
you forget the parentheses because the expression will still be meanin
gful to Maple without them -- " }{TEXT 263 46 "it just won't be the me
aning that you intended" }{TEXT -1 176 ".  Also, all of the following \+
bracketing symbols have different meanings to Maple:  \"()\", \"[]\", \+
\"\{\}\", \"<>\".  You cannot use different bracketing symbols for nes
ted parentheses." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "g:= sqr
t(x);" }}}}{SECT 1 {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 264 3 "The" }
{TEXT 266 1 " " }{TEXT 265 12 "plot command" }}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 41 "Let's plot f over the interval [0,4].    " }{TEXT 269 1 "
 " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "plot(f, x= 0..4);     \+
" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 29 "Note that the scaling on the \+
" }{XPPEDIT 18 0 "y;" "6#%\"yG" }{TEXT -1 32 "-axis is not the same as
 on the " }{XPPEDIT 18 0 "x;" "6#%\"xG" }{TEXT -1 200 "-axis.  Unless \+
you tell it otherwise, Maple chooses the scaling to fit as much of the
 graph as it can.  Note how the interval from 0 to 4 is specified with
 two dots.  The structure \"0..4\" is called a " }{TEXT 267 5 "range" 
}{TEXT -1 351 " in Maple, but you should associate it with the mathema
tical concept \"interval\" rather than the mathematical concept of  ra
nge.   We have to say \"x=\" before the range because the expression f
 is defined in terms of x.  \"x\" is not automatically associated with
 the horizontal axis.  So both of the following commands would have ge
nerated the same plot:" }}{PARA 0 "" 0 "" {TEXT -1 22 "   plot(x^2, x=
 0..4);" }}{PARA 0 "" 0 "" {TEXT -1 26 "   plot(foo^2, foo= 0..4);" }}
{PARA 0 "" 0 "" {TEXT -1 75 "except that in the latter case, the horiz
ontal axis would be labeled \"foo\"." }}{PARA 0 "" 0 "" {TEXT -1 0 "" 
}}{PARA 0 "" 0 "" {TEXT -1 101 "If you want the same scaling on both a
xes, use the following additional argument to the plot command:" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "plot(f, x= 0..4, scaling= co
nstrained);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 69 "Perhaps you would \+
like to also limit the extent of the vertical axis:" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 48 "plot(f, x= 0..4, y= 0..4, scaling= constr
ained);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 227 "Once again, the \"y\"
 has no pre-defined association with the vertical axis.  The same plot
 could have been produced as plot(f, x= 0..4, foo= 0..4, scaling= cons
trained), except that the vertical axis would then be labeled \"foo\".
" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 2 "A " }
{TEXT 268 4 "list" }{TEXT -1 129 " of objects can be created by enclos
ing them in square brackets.  So you can plot a list of functions on t
he same axes like this:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "
plot([f,g], x= 0..4, y= 0..4, scaling= constrained);" }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 217 "This graph shows the mirror-image property of \+
inverse functions.  Notice how Maple assigns different colors to the d
ifferent members of the list.  You can change the colors by adding a \+
\"color\" argument to the command." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 73 "plot([f,g], x= 0..4, y= 0..4, scaling= constrained, c
olor= [black,blue]);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 98 "The order
ing of the list of colors of course corresponds to the ordering of the
 list of functions." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "
" {TEXT -1 0 "" }{TEXT 274 8 "Caution:" }{TEXT -1 284 "  Some Maple bo
oks, even somewhat good ones, show you to use \{ \} (curly-braces) ins
tead of [ ] (square brackets) for a multiple plot command.  I strongly
 recommend that you never do this.  With the curly braces, it is impos
sible to control the correspondence between plots and colors." }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 23 "I want to
 add the line " }{XPPEDIT 18 0 "y = x;" "6#/%\"yG%\"xG" }{TEXT -1 39 "
 to the graph.  As a function, this is " }{XPPEDIT 18 0 "f(x) = x;" "6
#/-%\"fG6#%\"xGF'" }{TEXT -1 94 ".  As far as the plot command is conc
erned, it is only the part after the equals that matters." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 80 "plot([f,g,x], x= 0..4, y= 0..4, sca
ling= constrained, color= [red, red, black]);" }}}{EXCHG {PARA 0 "" 0 
"" {TEXT -1 158 "I'd like to make the line dashed.  The argument \"lin
estyle\" controls this:  linestyle = 1 is solid, linestyle = 2 is dots
 and dashes, linestyle = 3 is dashes." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 98 "plot([f,g,x], x= 0..4, y= 0..4, scaling= constrained,
 color= [red,red,black], linestyle= [1,1,3]);" }}}{EXCHG {PARA 0 "" 0 
"" {TEXT -1 160 "The command may be getting too long to fit nicely on \+
one line.  Any command can be divided by using Shift-Return (or Shift-
Enter) rather than Return (or Enter)." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 115 "plot([f,g,x], x= 0..4, y= 0..4\n    ,scaling= constr
ained\n    ,color= [red,red,black]\n    ,linestyle= [1,1,3]\n    );" }
}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 94 "It doesn't matter how you space \+
the punctuation marks; the above shows my personal preference." }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 45 "Finally, \+
I'd like to add a title to the plot." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 190 "plot([f,g,x], x= 0..4, y= 0..4\n    ,scaling= constr
ained\n    ,color= [red,red,black]\n    ,linestyle= [1,1,3]\n    ,titl
e= `An example of the mirror-image property of inverse functions`\n   \+
 );" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 101 "The plot command is proba
bly the most useful and versatile command that you will use in this co
urse. " }}}{PARA 3 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 3 "" 0 "" 
{TEXT 270 9 "Operators" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 
271 0 "" }{TEXT -1 58 "An expression of the form x -> x^2 is what Mapl
e calls an " }{TEXT 272 11 "operator.  " }{TEXT -1 55 "This correspond
s to the usual mathematical notion of a " }{TEXT 273 8 "function" }
{TEXT -1 1 "." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "F:= x-> x^
2;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 56 "In ordinary math texts, the
 above would be expressed as " }{XPPEDIT 18 0 "F(x) = x^2;" "6#/-%\"FG
6#%\"xG*$F'\"\"#" }{TEXT -1 95 ".  In other words,  F:= x-> x^2 is the
 Maple syntax for defining F to be the squaring function." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "F;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
-1 126 "Note that the above line makes it appear as though F has not b
een assigned a value.  To see value of an operator, you need to " }
{TEXT 275 4 "eval" }{TEXT -1 5 " ... " }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 8 "eval(F);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 80 "... o
r you can just evaluate the operator at an arbitrary (unassigned) vari
able:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "F(y);" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 57 "It does not matter what unassigned variab
le that you use:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "F(x);" }
}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "Try to predict the output of eac
h of the following lines." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 
"F(2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "(x-> x^3)(2);" }}
}{EXCHG {PARA 0 "" 0 "" {TEXT -1 67 "So we see above that the operator
 does not need to be given a name." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 15 "(x-> x^3)(a+b);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 7 "F(a+b);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 197 "It is
 usually better to use the operator form to define a function rather t
han the simple expression form that I used in the plots above.  For ex
ample, our  f  from above was merely the expression " }{XPPEDIT 18 0 "
x^2;" "6#*$%\"xG\"\"#" }{TEXT -1 133 ", meaning that the letter x is i
ntrinsically linked to f, whereas no particular variable name is intri
nsically linked to our new F.  " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 16 "g:= x-> sqrt(x);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 241 "In t
his particular case, Maple has automatically simplified the expression
 \"x -> sqrt(x)\" to \"sqrt\".  Please do not get thrown off by this. \+
 There are certain automatic simplifications that you cannot prevent M
aple from doing.  For example, " }{XPPEDIT 18 0 "2^2;" "6#*$\"\"#F$" }
{TEXT -1 53 " was automatically simplified to 4 a few lines above." }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "h:= x-> x;" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 89 "plot( [f(x), g(x), h(x)], x= 0..4, \+
y=0..4, scaling= constrained, color= [red,red,black]);" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 162 "Notice that we now have to use \"f(x)\" \+
rather than \"f\" in the plot command.  An alternative is to take off \+
the x from \"x= 0..4\" and plot the function as functions." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 73 "plot( [f,g,h], 0..4, 0..4, scaling=
 constrained, color= [red,red,black]);" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 52 "Add a title and axes labels, each in their own font." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 258 "plot([f,g,h], 0..4, 0..4\n \+
   ,scaling= constrained\n    ,color= [red,red,black]\n    ,labels= [`
X`,`Y`], labelfont= [HELVETICA,BOLDOBLIQUE,12]\n    ,title= `The mirro
r-image property of inverse functions`\n    ,titlefont= [TIMES,ROMAN,1
6]\n    ,axes= boxed\n    );" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 12 
"Getting Help" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 73 "You can get help \+
about any command by typing ?<command-name> at an arrow:" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "?plot" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 285 "For a beginning user, I think that the most useful part \+
of the help pages is the examples.  The textual material at the top is
 often too complicated for a new user to understand.  The examples can
 be cut-and-pasted into your worksheet.  You can go directly to the ex
amples by using ???" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "???pl
ot" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 230 "However, I recommend that \+
you briefly scan the textual material even if you can't understand it.
  Eventually you will understand it.  You should look up the help for \+
any unfamiliar command that you see in someone else's worksheet." }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 346 "Once you
 are in a help window, you can use the hypertext browser at the top to
 navigate through the help.   You may need to use your mouse to expand
 this section so that it is readable.  I particularly recommend that y
ou take the \"New User's Tour.\"  You can access this by clicking on \+
\"Introduction\", which is the first entry in the first column." }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 155 "Some com
mands have so many options that their help pages have subpages.  \"Plo
t\" is such a command.  To get help about the title, labels, fonts, et
c., enter" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "?plot,options
" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 116 "If you do not know the name \+
of the command that you want help with, try using \"Full Text Search\"
 from the Help menu." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "
" {TEXT -1 141 "The company that makes Maple has a website with thousa
nds of example worksheets categorized by subject and level.  The websi
te is called the " }{URLLINK 17 "Maple Applications Center" 4 "www.map
leapps.com" "" }{TEXT -1 265 " and the URL is www.mapleapps.com.  Note
 that the last sentence has a hyperlink right in the text.  Once you a
re at the website, I recommend that you go to the tutorials and downlo
ad and work through the \"Intro to Maple for Physics Students\" and \"
Maple Essentials\"." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
}}{MARK "0 2" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 
33 1 1 }