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{SECT 0 {PARA 18 "" 0 "" {TEXT 256 16 "Maple QuickStart" }}{SECT 0 
{PARA 3 "" 0 "" {TEXT -1 30 "Things to do when you start up" }}{SECT 
0 {PARA 4 "" 0 "" {TEXT -1 46 "Always re-initialize the Maple environm
ent ..." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}}
{SECT 0 {PARA 4 "" 0 "" {TEXT -1 39 "Then, load in any packages you ne
ed ..." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}
{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been r
edefined\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg):
" }}{PARA 7 "" 1 "" {TEXT -1 80 "Warning, the protected names norm and
 trace have been redefined and unprotected\n" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 14 "with(DEtools):" }}{PARA 7 "" 1 "" {TEXT -1 45 "W
arning, the name adjoint has been redefined\n" }}}}}{SECT 0 {PARA 3 "
" 0 "" {TEXT -1 12 "Maple syntax" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
33 "Maple syntax - things to remember" }}{PARA 0 "" 0 "" {TEXT -1 85 "
either \";\" (semi-colon) or \":\" (colon) is needed to end a command.
  The difference is" }}{PARA 0 "" 0 "" {TEXT -1 51 "that \":\" suppres
ses the output of the Maple command" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
-1 58 "To continue a line, don't use \"return\", but \"shift-return\"
" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 56 "\"%\" stands for the output o
f the previous maple command." }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 
22 "Numerical calculations" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 
"100!;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#\"it++++++++++++ko\"4@&=^#eP
AF3#zp`iG=l:wRYT*3c\"*HK***f<_*Q'Hfo9i\"Qk#ofr!\\+nEc)Q#*p\"o_T%RW:iK$
*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "Digits := 10;\nevalf(P
i);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'DigitsG\"#5" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#$\"+aEfTJ!\"*" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 25 "Digits := 100;\nevalf(Pi);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%'DigitsG\"$+\"" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#$\"
_qoq6U`#[.G')**3iG1k\"yI#fW\\(4#e5v$*Rpr>%)G]zKQVEYQKz*e`EfTJ!#**" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "ifactor(123456789);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#*()-%!G6#\"\"$\"\"#\"\"\"-F&6#\"%.QF*-
F&6#\"%2OF*" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 7 "Algebra" }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "expand( (a+b)^4 );" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#,,*$)%\"aG\"\"%\"\"\"F(*(F'F()F&\"\"$F(%\"bG
F(F(*(\"\"'F()F&\"\"#F()F,F0F(F(*(F'F(F&F()F,F+F(F(*$)F,F'F(F(" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "simplify( sin(x)^2 + cos(x)^
2 );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }}}}{SECT 0 {PARA 3 "
" 0 "" {TEXT -1 18 "Defining functions" }}{SECT 0 {PARA 4 "" 0 "" 
{TEXT -1 16 "\"Arrow\" notation" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 14 "f := x -> x^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGR6#%\"
xG6\"6$%)operatorG%&arrowGF(*$)9$\"\"#\"\"\"F(F(F(" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 5 "f(a);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$)
%\"aG\"\"#\"\"\"" }}}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 21 "\"Procedura
l\" notation" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "g := proc(x)
\n  x^2;\nend;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gGR6#%\"xG6\"F(F
(*$)9$\"\"#\"\"\"F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "g
(b);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$)%\"bG\"\"#\"\"\"" }}}}
{SECT 0 {PARA 4 "" 0 "" {TEXT -1 9 "\"Unapply\"" }}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 27 "h := unapply( x+sin(x), x);" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%\"hGR6#%\"xG6\"6$%)operatorG%&arrowGF(,&9$\"\"\"-%$
sinG6#F-F.F(F(F(" }}}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 25 "Solving a \+
single equation" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "solve( a*
x+b=0, x );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&%\"bG\"\"\"%\"aG!\"
\"F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "solve( a*x^2+b*x+c=
0,x );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,$*&,&%\"bG!\"\"*$-%%sqrtG6#
,&*$)F&\"\"#\"\"\"F0*(\"\"%F0%\"aGF0%\"cGF0F'F0F0F0F3F'#F0F/,$*&,&F&F'
F(F'F0F3F'F5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "eqn := a*x^
3 + b*x^2 + c*x + d=0;\nsolve(eqn,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%$eqnG/,**&%\"aG\"\"\")%\"xG\"\"$F)F)*&%\"bGF))F+\"\"#F)F)*&%\"cGF
)F+F)F)%\"dGF)\"\"!" }}{PARA 12 "" 1 "" {XPPMATH 20 "6%,(*&*$),**(%\"c
G\"\"\"%\"bGF*%\"aGF*\"#O*(\"$3\"F*%\"dGF*)F,\"\"#F*!\"\"*&\"\")F*)F+
\"\"$F*F3**\"#7F*-%%sqrtG6#F7F*-F;6#,,*&F,F*)F)F7F*\"\"%*&)F)F2F*)F+F2
F*F3*,\"#=F*F)F*F+F*F,F*F0F*F3*(\"#FF*)F0F2F*F1F*F**(FBF*F0F*F6F*F*F*F
,F*F*#F*F7F*F*F,F3#F*\"\"'*&*&#F2F7F*,&*&F,F*F)F*!\"$*$FEF*F*F*F**&F,F
*)F'#F*F7F*F3F**&#F*F7F**&F+F*F,F3F*F3,*F$#F3F9*&#F*F7F**&FRF**&F,F*)F
'#F*F7F*F3F*F3*&#F*F7F*FenF*F3*(^##F*F2F*F:F*,&F$FM*&#F2F7F*FjnF*F3F*F
*,*F$Fgn*&#F*F7F*FjnF*F3*&#F*F7F*FenF*F3*(^##F3F2F*F:F*FcoF*F*" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "solve(sin(x)-x/2,x);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'RootOfG6#,&%#_ZG\"\"\"*&\"\"#F(-%$s
inG6#F'F(!\"\"" }}}{PARA 0 "" 0 "" {TEXT -1 48 "You can also solve num
erically, over an interval" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
26 "fsolve(sin(x)-x/2,x,1..5);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+
nU\\&*=!\"*" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 29 "Solving a system
 of equations" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "eq1 := 3*x+
4*y=5;\neq2 := 2*x -y = 4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq1G/
,&%\"xG\"\"$*&\"\"%\"\"\"%\"yGF+F+\"\"&" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%$eq2G/,&%\"xG\"\"#%\"yG!\"\"\"\"%" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 26 "solve( \{eq1,eq2\}, \{x,y\} );" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#<$/%\"xG#\"#@\"#6/%\"yG#!\"#F(" }}}}{SECT 0 {PARA 3 "" 
0 "" {TEXT -1 19 "Matrices and Arrays" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 13 "with(linalg):" }}{PARA 7 "" 1 "" {TEXT -1 80 "Warning
, the protected names norm and trace have been redefined and unprotect
ed\n" }}}{PARA 0 "" 0 "" {TEXT -1 22 "using \"matrix\" command" }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "mat1 := matrix(2,3,[1,2,3,4,
5,6]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%mat1G-%'matrixG6#7$7%\"\"
\"\"\"#\"\"$7%\"\"%\"\"&\"\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 31 "mat1a := matrix([[1,2],[3,4]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%&mat1aG-%'matrixG6#7$7$\"\"\"\"\"#7$\"\"$\"\"%" }}}{PARA 0 "" 0 "
" {TEXT -1 21 "with \"vector\" command" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 26 "vec1 := vector( [1,2,3] );" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%%vec1G-%'vectorG6#7%\"\"\"\"\"#\"\"$" }}}{PARA 0 "" 
0 "" {TEXT -1 21 "using \"array\" command" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 43 "mat2 := array(1..2,1..3,[[1,2,3],[4,5,6]]);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%%mat2G-%'matrixG6#7$7%\"\"\"\"\"#\"\"$7%\"
\"%\"\"&\"\"'" }}}{PARA 0 "" 0 "" {TEXT -1 44 "You can start indices a
t any integer, even 0" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "mat
3 := array(0..1,0..1,[[1,2],[3,4]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#>%%mat3G-%'matrixG6#7$7$\"\"\"\"\"#7$\"\"$\"\"%" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 10 "mat3[0,0];" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#\"\"\"" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 11 "2D Plotting" }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{PARA 0 "" 
0 "" {TEXT -1 16 "\"Smart\" plotting" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 18 "smartplot(sin(x));" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 43 "plot(sin(x),x=-Pi..Pi,title=`sin(x) vs x`);" }}}}
{SECT 0 {PARA 3 "" 0 "" {TEXT -1 11 "3D Plotting" }}{PARA 0 "" 0 "" 
{TEXT -1 16 "\"Smart\" plotting" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 22 "smartplot3d(sin(x+y));" }}{PARA 13 "" 1 "" {NEWSMARTPLOT3D 
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