<?xml version="1.0" encoding="UTF-8"?>
<Worksheet><Version major="6" minor="1"/><View-Properties><Zoom percentage="200"/></View-Properties><Styles><Layout alignment="left" bullet="none" name="Warning"/><Layout alignment="left" bullet="none" name="Error"/><Layout alignment="left" bullet="none" firstindent="0.0" leftmargin="0.0" linebreak="space" linespacing="0.0" name="Normal" rightmargin="0.0" spaceabove="0.0" spacebelow="0.0"/><Layout alignment="centred" bullet="none" name="Maple Plot"/><Layout alignment="centred" bullet="none" linespacing="0.5" name="Maple Output"/><Font background="[0,0,0]" bold="true" executable="true" family="Monospaced" foreground="[255,0,0]" name="Maple Input" opaque="false" size="12"/><Font background="[0,0,0]" bold="false" executable="false" family="Lucida Bright" foreground="[0,0,0]" italic="false" name="Text" opaque="false" size="12" underline="false"/><Font background="[0,0,0]" family="Monospaced" foreground="[0,0,255]" name="Warning" opaque="false" readonly="true" size="12"/><Font background="[0,0,0]" family="Monospaced" foreground="[255,0,255]" name="Error" opaque="false" readonly="true" size="12"/><Font background="[0,0,0]" family="Lucida Bright" foreground="[0,0,255]" name="2D Output" opaque="false" readonly="true" size="12"/><Font background="[0,0,0]" bold="false" family="Lucida Bright" foreground="[0,0,0]" italic="false" name="Normal" opaque="false" size="12" underline="false"/></Styles><Group><Input><Text-field layout="Normal" style="Normal">Basic arithmetic operations with Maple</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">3+4;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMiIig=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">54/6;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMiIio=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">12/5;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMjIiM3IiIm</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">evalf(12/5);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMkIisrKysrQyEiKg==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">3*(4-7);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMhIio=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" style="Text">A common mistake: To forget the ";" at the end of each statement.</Text-field></Input></Group><Group><Input><Text-field layout="Normal" style="Text">Here we assign to the variable VAR the expression 2x+4y</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">VAR;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMiJHEj</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">VAR:=2*x+4*y;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSRWQVJHNiIsJkkieEdGJSIiI0kieUdGJSIiJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">VAR;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMsJkkieEc2IiIiI0kieUdGJSIiJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">y:=65;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSJ5RzYiIiNs</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">VAR;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMsJkkieEc2IiIiIyIkZyMiIiI=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">x:=5;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSJ4RzYiIiIm</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">VAR;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMiJHEj</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" style="Text">To add maple prompts, one can use crtl + j (below the line) or crtl +k (above the line). </Text-field><Text-field layout="Normal" style="Text">To add text, crt+t</Text-field><Text-field layout="Normal" style="Text"/><Text-field layout="Normal" style="Text"/></Input></Group><Group><Input><Text-field layout="Normal" style="Text">Maple's memory: It is important when an assigment is made (as oppossed to where)</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">?int</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">int(5*x,x);</Text-field></Input><Output><Text-field layout="Error" style="Error">Error, (in int) wrong number (or type) of arguments</Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">currentdir();</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiNROi9tdC9jZW50ZXJwb3J0L2hvbWUvbW9pcmE2Ig==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">currentdir("/mt/centerport/home/moira/www/wise/wise2005/classes");</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiNJOi9tdC9jZW50ZXJwb3J0L2hvbWUvbW9pcmFHNiI=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">currentdir();</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiNRVC9tdC9jZW50ZXJwb3J0L2hvbWUvbW9pcmEvd3d3L3dpc2Uvd2lzZTIwMDUvY2xhc3NlczYi</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">read("turtle.txt"):"</Text-field></Input><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">ResetTurtle();</Text-field></Input><Input><Text-field prompt="&gt; " style="Maple Input"/></Input><Input><Text-field prompt="&gt; " style="Maple Input"/></Input><Output><Text-field layout="Warning" style="Warning">Warning, premature end of input, use &lt;Shift&gt; + &lt;Enter&gt; to avoid this message.</Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">TurtleCmd('FRF');</Text-field></Input><Output><Text-field layout="Maple Plot"><Plot height="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" type="two-dimensional" width="400">LSUlUExPVEc2JS0lJ0NVUlZFU0c2JDclNyQiIiFGKjckJCIiIkYqJEYqRio3JCQiKywrKys1ISIqJCEiIkYqLSUmQ09MT1JHNiYlJFJHQkckRipGNEY5RjktJSpBWEVTU1RZTEVHNiMlJU5PTkVHLSUoU0NBTElOR0c2IyUsQ09OU1RSQUlORURH</Plot></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">SetTurtleAngle(45);</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">TurtleCmd('FRF');
</Text-field></Input><Output><Text-field layout="Maple Plot"><Plot height="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" type="two-dimensional" width="400">LSUlUExPVEc2JS0lJ0NVUlZFU0c2JDclNyQiIiFGKjckJCIiIkYqJEYqRio3JCQiKyJ5MXJxIiEiKiQhKzV5MXJxISM1LSUmQ09MT1JHNiYlJFJHQkckRiohIiJGOkY6LSUqQVhFU1NUWUxFRzYjJSVOT05FRy0lKFNDQUxJTkdHNiMlLENPTlNUUkFJTkVERw==</Plot></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">TurtleCmd('FRFBLF');</Text-field></Input><Output><Text-field layout="Maple Plot"><Plot height="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" type="two-dimensional" width="400">LSUlUExPVEc2JS0lJ0NVUlZFU0c2JDcnNyQiIiFGKjckJCIiIkYqJEYqRio3JCQiKyJ5MXJxIiEiKiQhKzV5MXJxISM1NyQkIisoKioqKioqKioqRjVGLjckJCIrKysrKz9GMiQiK0lfOC8jKSEjPi0lJkNPTE9SRzYmJSRSR0JHJEYqISIiRkNGQy0lKkFYRVNTVFlMRUc2IyUlTk9ORUctJShTQ0FMSU5HRzYjJSxDT05TVFJBSU5FREc=</Plot></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">ResetTurtle();
SetInitialTurtleHeading(30);
TurtleCmd(F);


</Text-field></Input><Output><Text-field layout="Maple Plot"><Plot height="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" type="two-dimensional" width="400">LSUlUExPVEc2JS0lJ0NVUlZFU0c2JDckNyQiIiFGKjckJCIrUFNEZycpISM1JCIrLSsrK11GLi0lJkNPTE9SRzYmJSRSR0JHJEYqISIiRjVGNS0lKkFYRVNTVFlMRUc2IyUlTk9ORUctJShTQ0FMSU5HRzYjJSxDT05TVFJBSU5FREc=</Plot></Text-field></Output></Group><Group><Input><Text-field layout="Normal" style="Text">EXERCISE: Create an arbitrary sequence of F, B, R, and L,  with 8 letters and use it as Turtle Command.</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">myseq:='FFFFFFFFFRF';</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSZteXNlcUc2IkksRkZGRkZGRkZGUkZHRiU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">TurtleCmd(myseq);</Text-field></Input><Output><Text-field layout="Maple Plot"><Plot height="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" type="two-dimensional" width="400">LSUlUExPVEc2JS0lJ0NVUlZFU0c2JDctNyQiIiFGKjckJCIrUFNEZycpISM1JCIrLSsrK11GLjckJCIrMjMwSzwhIiokIisrKysrNUY0NyQkIis2aTIpZiNGNCQiKysrKys6RjQ3JCQiKzo7NWtNRjQkIisrKysrP0Y0NyQkIis+cTdJVkY0JCIrKysrK0RGNDckJCIrQkM6Jz4mRjQkIisrKysrSUY0NyQkIitGeTxpZ0Y0JCIrKysrK05GNDckJCIrSks/R3BGNCQiKysrKytTRjQ3JCQiK04nR1V6KEY0JCIrKysrK1hGNDckJCIrUCdHVUgpRjQkIisoZnVSaiRGNC0lJkNPTE9SRzYmJSRSR0JHJEYqISIiRl1vRl1vLSUqQVhFU1NUWUxFRzYjJSVOT05FRy0lKFNDQUxJTkdHNiMlLENPTlNUUkFJTkVERw==</Plot></Text-field></Output></Group><Group><Input><Text-field layout="Normal" style="Text">EXERCISE: Draw </Text-field><Text-field layout="Normal" style="Text">1. A letter "L".</Text-field><Text-field layout="Normal" style="Text">2. Two squares with a common edge.</Text-field><Text-field layout="Normal" style="Text">3. A rectangle.</Text-field><Text-field layout="Normal" style="Text">4. A "+"  sign.</Text-field><Text-field layout="Normal" style="Text"/><Text-field layout="Normal" style="Text"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">SetTurtleAngle(120);</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">TurtleCmd('FRF');</Text-field></Input></Group><Group><Input><Text-field layout="Normal" style="Text">In order to "glue" sequences of letters together we use the maple comand "cat". EXAMPLE</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">cat('F',RR);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiNJJEZSUkc2Ig==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" style="Text">EXERCISE: Draw</Text-field><Text-field layout="Normal" style="Text">1. A triangle.</Text-field><Text-field layout="Normal" style="Text">2. A decagon</Text-field><Text-field layout="Normal" style="Text">3. A polygon of 20 sides</Text-field><Text-field layout="Normal" style="Text">4. A circle</Text-field><Text-field layout="Normal" style="Text">5. Two polygons with a common edge.</Text-field><Text-field layout="Normal" style="Text"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" style="Text">An interesting picture from the book.</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">SetTurtleAngle(30);</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">TurtleCmd(cat(seq(cat(R,seq(FR,i=1..12)),j=1..12)));</Text-field></Input></Group><Group><Input><Text-field layout="Normal" style="Text">With the above intructions, change some of the parameters (angle, number of iterations for i, or j) and try to understand the results.</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" style="Text">EXERCISE: Draw the figures corresponding to the sequences FRSFR and FFRF and compare them. </Text-field><Text-field layout="Normal" style="Text">Can you deduce what S does?

</Text-field><Text-field layout="Normal" style="Text">Draw the figures corresponding to the sequences FRGFR and FRFF and compare them. </Text-field><Text-field layout="Normal" style="Text">Can you deduce what G does?</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">TurtleCmd(FRGFR);TurtleCmd(FRFF);</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Text-field/><Text-field/><Text-field/><Text-field/><Text-field/><Text-field/><Text-field/></Worksheet>