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{SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT -1 10 "Maple Demo" }}}{SECT 0 
{PARA 3 "" 0 "" {TEXT -1 7 "General" }}{SECT 0 {PARA 4 "" 0 "" {TEXT 
-1 12 "Getting Help" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 100 "There is a
n extensive online help feature. Help with individual commands can be \+
accessed using the ?" }{TEXT 265 13 "commandname. " }{TEXT -1 90 "The \+
options for a command are seen within that search. The results come up
 in a new window" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "?plot" }
}}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 7 "Restart" }}{EXCHG {PARA 0 "" 0 
"" {TEXT -1 51 "It sometimes becomes necessary to clear the entire " }
{TEXT 262 6 "Maple " }{TEXT -1 16 "memory. Use the " }{HYPERLNK 17 "re
start" 2 "restart" "" }{TEXT -1 9 " command." }{TEXT 261 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}}{SECT 0 {PARA 
4 "" 0 "" {TEXT -1 6 "Syntax" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }
{TEXT 263 5 "Maple" }{TEXT -1 99 " uses lower case letters for the bui
lt-in functions and parentheses for the arguments of functions." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "sin(Pi/4);" }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 120 "Parentheses are also used for grouping symbols
. Square brackets are used for lists and curly brackets are used for s
ets." }}{PARA 0 "" 0 "" {TEXT -1 90 "All statements must end with eith
er a semicolon or colon. A colon will supress the output." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "3+4;\n5*9:" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 58 "Multiplication requires an asterisk, (with no exception
s.)" }}}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 9 "Functions" }}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 42 "Functions are declared using the notation
 " }{TEXT 266 16 "f:=x->expression" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 13 "f:=x->2*x-10;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 6 "f(10);" }}}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 13 "Substitutions
" }}{PARA 0 "" 0 "" {TEXT -1 41 "Substitutions are done using the comm
and " }{HYPERLNK 17 "subs" 2 "subs" "" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 7 "g:=x^2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "
subs(x=4,g);" }}}{PARA 4 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 4 "" 
0 "" {TEXT -1 16 "Numerical values" }}{PARA 0 "" 0 "" {TEXT -1 30 "To \+
get a numerical value, use " }{HYPERLNK 17 "evalf" 2 "evalf" "" }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "evalf(Pi);\nevalf(Pi,50);" }
}}{PARA 4 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 6 
"Tables" }}{PARA 0 "" 0 "" {TEXT -1 67 "Tables of values can be constr
ucted from matrices but the built-in " }{HYPERLNK 17 "table" 2 "table
" "" }{TEXT -1 31 " command is not the same as in " }{TEXT 256 12 "Mat
hematica." }{TEXT -1 1 " " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 
"mytable:=array(1..4,1..2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
64 "for i from 1 to 4 do\nmytable[i,1]:=i:\nmytable[i,2]:=i^2:\nend do
:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "print(mytable);" }}}
{PARA 4 "" 0 "" {TEXT -1 0 "" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 8 "
Graphics" }}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 12 "Simple Plots" }}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 13 "The standard " }{HYPERLNK 17 "plot
" 2 "plot" "" }{TEXT -1 9 " command " }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 39 "plot(x^2,x=-2..2,color=COLOR(HUE,0.5));" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 81 "According to the help menu, the thickness
 can be set in values of 0, 1, 2, or 3. " }{HYPERLNK 17 "" 2 "plot[opt
ions]\nplot[options]" "" }{TEXT -1 4 "See " }{HYPERLNK 17 "plot[option
s]." 2 "plot[options]" "" }{TEXT -1 68 " Large numbers will work with \+
unexpected results. Try 3, 15, and 16." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 51 "plot(x^2,x=-2..2,color=COLOR(HUE,0.5),thickness=3);" 
}}}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 5 "Color" }}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 41 "Colors can be declared either by the  or " }{TEXT 267 
44 "color=COLOR(HUE,#) or color=COLOR(RGB,#,#,#)" }{TEXT -1 37 " comma
nds.Alternatively there are 25 " }{HYPERLNK 17 "built-in colors" 2 "pl
ot,colors" "" }{TEXT -1 1 "." }{MPLTEXT 1 0 0 "" }}}}{SECT 0 {PARA 4 "
" 0 "" {TEXT -1 15 "Combining Plots" }}{EXCHG {PARA 0 "" 0 "" {TEXT 
-1 56 "By naming several plots, they can be combined using the " }
{HYPERLNK 17 "display" 2 "plots,display" "" }{TEXT -1 34 " command. Yo
u must first load the " }{HYPERLNK 17 "with(plots)" 2 "plots" "" }
{TEXT -1 104 " package. Also, The inital output of each plot must be s
upressed. background colors are not easily done." }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 146 "p1:=plot(x^2,x=-2..2,color=turquoise,thickne
ss=5):\np2:=plot(x^2+2,x=-2..2,color=plum,thickness=5):\np3:=plot(x^2+
4,x=-2..2,color=blue,thickness=5):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 18 "display(p1,p2,p3);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 98 "Notic
e that if you do not supress the output of the initial plot command, y
ou get the data points." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "
p1:=plot(x^2,x=-2..2,color=turquoise,thickness=5);" }}}}{SECT 0 {PARA 
4 "" 0 "" {TEXT -1 8 "Surfaces" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 34 "
Surfaces can be plotted using the " }{HYPERLNK 17 "plot3d" 2 "plot3d" 
"" }{TEXT -1 9 " command " }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 53 "plot3d(exp(-(x^2+y^2))*sin(x^2+y^2),x=-2..2,y=-2
..2);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 257 7 "Maple's" 
}{TEXT -1 54 " big advantage is is superior 3d rotation of graphics." 
}}}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 20 "Parametric Functions" }}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 65 "Parametric curves can be drawn thr
ough three different commands. " }{TEXT 258 5 "Maple" }{TEXT -1 32 " h
as inconsistent notation here." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 73 "plot([cos(3*t)*cos(t),cos(3*t)*sin(t),t=0..2*Pi],color=blue,th
ickness=3);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 84 "spacecurve([
cos(t)*cos(t),cos(t)*sin(t),sin(5*t),t=0..2*Pi],color=blue,thickness=3
);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 78 "plot3d([sin(u)*cos(v)
,sin(u)*sin(v),cos(v)],u=0..2*Pi,v=0..2*Pi,shading=zhue);" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT 259 5 "Maple" }{TEXT -1 19 " also has a direct \+
" }{HYPERLNK 17 "polar plot " 2 "polarplot" "" }{TEXT -1 24 "function \+
that is not in " }{TEXT 260 12 "Mathematica." }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 38 "polarplot(cos(3*theta),theta=0..2*Pi);" }}}}
{SECT 0 {PARA 4 "" 0 "" {TEXT -1 10 "Animations" }}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 75 "There are multiple ways of creating animations. I fi
nd the simplest is the " }{HYPERLNK 17 "animate" 2 "animate" "" }
{TEXT -1 9 " command." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "an
imate( sin(x*t),x=-10..10,t=1..2,frames=10);" }}}}}{SECT 0 {PARA 3 "" 
0 "" {TEXT -1 8 "Calculus" }}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 21 "Surf
ace of Revolution" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 59 "There is no s
pecific surface of revolution command but the " }{HYPERLNK 17 "tubeplo
t" 2 "tubeplot" "" }{TEXT -1 19 " command can help. " }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 37 "tubeplot([t,0,0],t=-1..1,radius=t^2);" }}
}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 11 "Derivatives" }}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 0 "" }{TEXT 264 5 "Maple" }{TEXT -1 79 " can find the \+
derivative of either a function or an expression. For a function," }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "h:=x->x^5;" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 5 "D(h);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 8 "D(h)(2);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 22 "For a
n expression, use" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "m:=x^6
;\ndiff(m,x);" }}}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 11 "Integration" }
}{EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "Integration can be done in either
 exact or numerical form" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 
"int(sqrt(tan(x)),x=0..Pi/4);\nevalf(Int(sqrt(tan(x)),x=0..Pi/4));" }}
}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 6 "Series" }}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 36 "Infinite series are found using the " }{HYPERLNK 17 "se
ries" 2 "series" "" }{TEXT -1 8 " command" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 31 "myseries:=series(log(x),x=2,5);" }}}{EXCHG {PARA 0 
"" 0 "" {TEXT -1 51 "To remove the \"Big O\" notation at the end, use \+
the " }{HYPERLNK 17 "convert" 2 "convert" "" }{TEXT -1 8 " command" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "convert(myseries,polynom);
" }}}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 15 "Sum of a Series" }}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 36 "To get the sum of a series, use the " }
{HYPERLNK 17 "sum" 2 "sum" "" }{TEXT -1 8 " command" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 43 "mysum:=Sum(1/x,x=1..100)=sum(1/x,x=1..100
);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}}}{MARK "2 3 6 0
 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }