{VERSION 5 0 "APPLE_PPC_MAC" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 261 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 262 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 264 "Helvetica" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 265 "Helvetica" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 266 "Helvetica" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 267 "Helvetica" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 268 "Helvetica" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 269 "Helvetica" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 270 "Helvetica" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 271 "Helvetica" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 272 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 273 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 274 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 275 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 276 "Helvetica" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 277 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 278 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 279 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 280 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 281 "" 1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 2" 3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 8 2 0 0 0 0 0 0 -1 0 }{PSTYLE "Headi ng 3" 4 5 1 {CSTYLE "" -1 -1 "" 1 12 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }0 0 0 -1 0 0 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 3 256 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT -1 16 "Introduction to " } {TEXT 280 6 "Maple\n" }{TEXT -1 20 "Creating Documents " }{TEXT 281 44 "by Bob Bradshaw, Ohlone College, Fremont, CA" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 256 5 "Maple" } {TEXT -1 209 " can be used to create finished documents in either prin t or electronic formats. Text features include font, size, and color s election. Electronic features include collapsible outlines and export \+ of web pages." }}}{EXCHG {PARA 4 "" 0 "" {TEXT -1 16 "Execution Groups " }}{PARA 0 "" 0 "" {TEXT -1 49 "Notice the \"[\" symbols at the left side of each " }{TEXT 257 5 "Maple" }{TEXT -1 69 " document. These sy mbols indicate execution groups. If a sequence of " }{TEXT 258 1 "M" } {TEXT -1 0 "" }{TEXT 259 5 "aple " }{TEXT -1 110 "statements are inclu ded within a single execution group, all of the statements can be exec uted by hitting the " }{TEXT 265 5 "ENTER" }{TEXT 270 1 " " }{TEXT -1 93 "key only once. To see the difference, enter each of the following \+ statements followed by the " }{TEXT 266 5 "ENTER" }{TEXT 271 1 " " } {TEXT -1 10 " command. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "a :=3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "b:=3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> %\"bG\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "total:=a+b;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&totalG\"\"'" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 104 "Next, enter the same three lines but hold down th e \"shift\" key while you enter the first two statements." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "a:=5;\nb:=6;\ntotal:=a+b;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG\"\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG\"\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&totalG\"#6" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 67 "Notice that all three statements a re executed together. Whenever a " }{TEXT 261 6 "Maple " }{TEXT -1 54 "command is executed, a new execution group is created" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 41 "Maple Com mands, Inert Commands, and Text" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } {TEXT 260 6 "Maple " }{TEXT -1 96 "commands are preceeded by the \">\" symbol and must be followed by either a colon or a semicolon. " }} {PARA 0 "" 0 "" {TEXT -1 57 "Inert commands look like mathematics but \+ a not executed. " }}{PARA 0 "" 0 "" {TEXT -1 22 "Text is anything else ." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 67 "When an execution group is created, it usually has the \">\" prompt. " }} {PARA 0 "" 0 "" {TEXT -1 31 "To create text, hold down the \"" }{TEXT 267 4 "CTRL" }{TEXT -1 71 "\" key and press \"T\" or click on the \"T \" icon near the top of the page. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 44 "To create an inert command, hold down th e \"" }{TEXT 268 4 "CTRL" }{TEXT -1 48 "\" key and press \"M\" or clic k on the \"\267\" icon . " }}{PARA 0 "" 0 "" {TEXT -1 54 "Enter an in ert command the same way you would enter a " }{TEXT 263 6 "Maple " } {TEXT -1 143 " command. As you enter the command. it will appear near \+ the top of the screen. The results will appear on the page after hitti ng the ENTER key." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 16 "To create a new " }{TEXT 262 5 "Maple" }{TEXT -1 33 " exe cution group, hold down the \"" }{TEXT 269 4 "CTRL" }{TEXT -1 46 "\" k ey and press \"J\" or click on the \"[>\" icon." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 81 "Use the above commands to enter the following the following two execution groups." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 46 "Integral calculus involves using the notation " }{XPPEDIT 18 0 "int(f(x),x);" "6#-%$intG6$-%\"fG6#%\"xGF)" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 12 "For example," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "int( x,x):=int(x,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%$intG6$%\"xGF',$ *$)F'\"\"#\"\"\"#F,F+" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 135 "These \+ two execution groups may look better if they are in one group. To do t his, use you mouse to highlight the groups and then choose " }{TEXT 264 46 "Edit, Split or Join, Join Execution Groups. " }{TEXT -1 27 " The result should look like" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 46 " Integral calculus involves using the notation " }{XPPEDIT 18 0 "int(f( x),x);" "6#-%$intG6$-%\"fG6#%\"xGF)" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 12 "For example," }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "int(x, x):=int(x,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%$intG6$%\"xGF',$*$ )F'\"\"#\"\"\"#F,F+" }}}}{EXCHG {PARA 4 "" 0 "" {TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 10 "Formatting" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } {TEXT 275 5 "Maple" }{TEXT -1 444 " can format text in the same way as a word processor. You can change fonts, positioning, size, color, and other characteristics. When you are typing text, a toolbar appears ne ar the top of the screen giving you a choice of font, size, style, and justification. At the far left of the toolbar is a pulldown box givin g you choices of pre-defined styles, such as Author, Bullet List and H eading. Additional formatting changes can be found in the " }{TEXT 276 6 "Format" }{TEXT -1 31 " menu at the top of the screen." }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 43 "Fo rmatting for Reading on a Computer Screen" }}{PARA 5 "" 0 "" {TEXT -1 0 "" }}{PARA 5 "" 0 "" {TEXT -1 8 "Sections" }}{PARA 0 "" 0 "" {TEXT -1 185 "In the above example, you may have noticed that the execution \+ group was indented and was marked by a \"-\" sign in the left margin. \+ This indentation is part of an outlining method used by" }{TEXT 272 5 "Maple" }{TEXT -1 9 ". Called " }{TEXT 273 8 "sections" }{TEXT -1 115 ", it is particularly useful for creating long documents that will be \+ viewed on a computer screen. For example, type" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "?sections" }}{PARA 0 "" 0 "" {TEXT -1 99 "Expand the s eparate sections by clicking on the \"+\" symbols in the left margin. \+ See the handout on " }{TEXT 274 21 "StructuringWorksheets" }{TEXT -1 36 " for a printout of these help pages." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 5 "" 0 "" {TEXT -1 4 "HTML" }}{PARA 0 "" 0 "" {TEXT -1 143 "HTML is the abbreviation for Hypertext Markup Language. HTML is t he language used to generate what you see when viewing a page on the I nternet." }}{PARA 0 "" 0 "" {TEXT -1 1 "\n" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 277 5 "Maple" }{TEXT -1 50 " can create the HTML code s o that you can put you " }{TEXT 278 5 "Maple" }{TEXT -1 112 " workshee ts on a web site. This will include graphics and animations. To create the HTML code, do the following:" }}{PARA 0 "" 0 "" {TEXT -1 58 "(1) \+ Save your document.\n(2) Choose File, Export As, HTML" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 74 "You can now open tha t HTML file in a browser such as Netscape or Explorer." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 3 "" 0 "" {TEXT -1 11 "You Try I t!" }}{PARA 0 "" 0 "" {TEXT -1 93 "(1) Copy a word problem from a book (or make up one of your own) and solve the problem using " }{TEXT 279 5 "Maple" }{TEXT -1 107 ". The format should look like Print Forma t below. Be sure to join the execution groups in a similar fashion" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 92 "(2) Conv ert the solution of your problem into an outline using sections. See S creen Format." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 45 "(3) Create a web page showing your solution." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 12 "Print Fo rmat" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 3 "" 0 "" {TEXT -1 20 "The Triangle Problem" }}{PARA 0 "" 0 "" {TEXT -1 16 "by Charles Brown" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 220 "The hypotenuse of a triangle is two less the triple the length of the short side. The other leg of the triangle is three more than doub le the length of the short side. Find the lengths of the three sides o f the triangle." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 120 "Middle:=2*Short+3;\nHypotenuse:=3*Short-2;\nm yequation:=Short^2+Middle^2=Hypotenuse^2;\n\nanswer:=solve(myequation, Short);\n\n" }}{PARA 11 "" 0 "" {TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'MiddleG,&%&ShortG\"\"#\"\"$\"\"\"" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%+HypotenuseG,&%&ShortG\"\"$!\"#\"\"\"" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%+myequationG/,&*$)%&ShortG\"\"#\"\"\"F+*$),&F) F*\"\"$F+F*F+F+*$),&F)F/!\"#F+F*F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >%'answerG6$,&\"\"$\"\"\"*$-%%sqrtG6#\"#TF(#F(\"\"#,&F'F(F)#!\"\"F/" } }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "The exact answers are: " }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "Short:=answer[1];\nMiddle:=M iddle;\nHypotenuse:=Hypotenuse;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%& ShortG,&\"\"$\"\"\"*$-%%sqrtG6#\"#TF'#F'\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'MiddleG,&\"\"*\"\"\"*$-%%sqrtG6#\"#TF'F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%+HypotenuseG,&\"\"(\"\"\"*$-%%sqrtG6#\"#TF '#\"\"$\"\"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "The approximate v alues (to four significant figures) are:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 84 "Short:=evalf(answer[ 1],4);\nMiddle:=evalf(Middle,4);\nHypotenuse:=evalf(Hypotenuse,4);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%&ShortG$\"%-i!\"$" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%'MiddleG$\"%S:!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%+HypotenuseG$\"%h;!\"#" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 13 "Screen Format" }}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 16 "Title and Author" }}{EXCHG {PARA 4 "" 0 "" {TEXT -1 20 "The Triang le Problem" }}{PARA 0 "" 0 "" {TEXT -1 16 "by Charles Brown" }}}} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 20 "Statement of Problem" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 220 "The hypo tenuse of a triangle is two less the triple the length of the short si de. The other leg of the triangle is three more than double the length of the short side. Find the lengths of the three sides of the triangl e." }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 18 "Method of Solution" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "Middle:=2*Short+3;\nHypoten use:=3*Short-2;\nmyequation:=Short^2+Middle^2=Hypotenuse^2;\n\nanswer: =solve(myequation,Short);\n\n" }}{PARA 11 "" 0 "" {TEXT -1 0 "" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%'MiddleG,&%&ShortG\"\"#\"\"$\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%+HypotenuseG,&%&ShortG\"\"$!\"#\" \"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%+myequationG/,&*$)%&ShortG\" \"#\"\"\"F+*$),&F)F*\"\"$F+F*F+F+*$),&F)F/!\"#F+F*F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'answerG6$,&\"\"$\"\"\"*$-%%sqrtG6#\"#TF(#F(\"\"#, &F'F(F)#!\"\"F/" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 13 "Exact Result s" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "Short:=answer[1];\nMidd le:=Middle;\nHypotenuse:=Hypotenuse;" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%&ShortG,&\"\"$\"\"\"*$-%%sqrtG6#\"#TF'#F'\"\"#" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%'MiddleG,&\"\"*\"\"\"*$-%%sqrtG6#\"#TF'F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%+HypotenuseG,&\"\"(\"\"\"*$-%%sqrtG6#\"#TF '#\"\"$\"\"#" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 19 "Approximate Res ults" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "The approximate values (to four significant figures) are:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 84 "Short:=evalf(answer[1],4);\nMiddle: =evalf(Middle,4);\nHypotenuse:=evalf(Hypotenuse,4);" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%&ShortG$\"%-i!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%'MiddleG$\"%S:!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%+Hypotenus eG$\"%h;!\"#" }}}}}}{MARK "0 0 3" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }