{VERSION 4 0 "IBM INTEL NT" "4.0" } {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 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 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {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 "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 "M aple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {SECT 0 {PARA 3 "" 0 "" {TEXT -1 6 "Basics" }}{EXCHG {PARA 0 " " 0 "" {TEXT 256 0 "" }{TEXT -1 34 "This worksheet is called 'basics'. " }}{PARA 0 "" 0 "" {TEXT -1 67 "Once you start Maple, you can use Hel p to get a lot of useful help." }}{PARA 0 "" 0 "" {TEXT -1 0 "" } {TEXT 257 99 "SAVE YOUR WORK OFTEN! MAPLE OFTEN QUITS UNEXPECTEDLY! \+ ALSO KEEP YOUR WORKSHEETS SHORT AND SIMPLE." }}{PARA 0 "" 0 "" {TEXT -1 65 "Click on the + sign to open a section, on the - sign to close i t." }}{PARA 0 "" 0 "" {TEXT -1 86 "Click on the first red command area and hit Enter to tell Maple to accept the command." }}{PARA 0 "" 0 " " {TEXT -1 498 "A Maple worksheet is much like a word processor in som e ways. You can cut and paste, delete, move around with the arrow key s or the mouse, etc. The main difference is that if you type a math c ommand after the Maple > prompt and hit either Return or Enter, it wil l execute the command. It is not enough for the command to appear on \+ the screen. You must put the cursor on it and hit Enter for it to reg ister.\nCommands are in red, normal text is in black (hit the T button to switch to text mode)." }}{PARA 0 "" 0 "" {TEXT -1 67 "Hit Shift-Re turn to get a new line without executing the statement." }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 21 "Maple as a calculator" }}{PARA 0 "" 0 "" {TEXT -1 104 "To make section headings like this, click Format, Indent . You might want to highlight some lines first." }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 4 "3+4;" }{TEXT -1 95 " Maple is like a calculator , except that it needs a semicolon to know where the statement ends." }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "b:=15; \+ " }{TEXT -1 52 ":= means 'is set equal to. So b is set equal to 15." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "cos(Pi/3); # Maple can do this one exactly\n " }{TEXT -1 189 "Typing # at the end of \+ a command line is another way of making a comment.\n \+ It's not as pretty, though. But when I first typed this, I d idn't know how to get text!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "cos(1); " }{TEXT -1 36 "But now this one, so it doesn't try." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "evalf(cos(1)); " }{TEXT -1 71 "This forces Maple to approximate. Evaluate as a floating point nu mber." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "cos(1.0); " } {TEXT -1 58 "The decimal point forces Maple to approximate numerically ." }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 50 "Simple symbolic manipulati on and display of output" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "b :=7*A; " }{TEXT -1 55 "Even though A is not yet defined, b is set equa l to 7A." }{MPLTEXT 1 0 1 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "(x-2)^5; " }{TEXT -1 287 "Maple will simply repeat back what you \+ typed, formatted nicely. The output can be pasted into Word or FrontP age. I believe that it will look better than the output of Word's equ ation editor. However, it will probably be harder to put it straight \+ into a line of text where you want it." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$),&%\"xG\"\"\"\"\"#!\"\"\"\"&F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "expand(%); " }{TEXT -1 35 "Expand the last expression entered." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "factor(%); " } {TEXT -1 27 "Factor the last expression." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "(x^2+5*x^8)/sqrt(4*x-2);" }{TEXT -1 90 " Here is some thing more complicated. This is easier to use than Equation Editor, I think." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&*$)%\"xG\"\"#\"\"\"F)*& \"\"&F))F'\"\")F)F)F)*$-%%sqrtG6#,&F'\"\"%F(!\"\"F)F4" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 17 "Solving equations" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "solve(2*x^2+5*x-4=0,x); " }{TEXT -1 27 "Solve th e equation exactly." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "eval f(%); " }{TEXT -1 41 "Evaluate the last expression numerically." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "solve(x^2+5*x+7=0,x); " } {TEXT -1 31 "The solution has complex roots." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "eq:=exp(x)-5=0; " }{TEXT -1 0 "" }{TEXT 258 3 "e q " }{TEXT -1 28 "is set equal to an equation." }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 23 "solve(eq,x); evalf(%); " }{TEXT -1 6 "Solve " }{TEXT 259 2 "eq" }{TEXT -1 5 " for " }{TEXT 260 1 "x" }{TEXT -1 27 " \+ exactly, then approximate." }{TEXT -1 53 " Notice that there are two c ommands on the same line." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "solve(sin(x)=0,x);" }{TEXT -1 70 " Maple gives only one solution; of course, there are infinitely many." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "fsolve(sin(x)=0,x,2..8);" }{TEXT -1 40 " Solve numeri cally over a certain range." }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 5 "P lots" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "plot(2*x^2+5*x-4,x=- 4..1);" }{TEXT -1 42 " Plot the function over the given x range." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 90 "plot(sin(x),x=0..2*Pi, thick ness=3,color=black,labels=[\"X axis here\",\"Y axis over here\"]);" }} {PARA 13 "" 1 "" {GLPLOT2D 343 260 260 {PLOTDATA 2 "6'-%'CURVESG6#7en7 $$\"\"!F)F(7$$\"3i]cC&eb&p8!#=$\"3+9&o'z\"y_O\"F-7$$\"3YqR*pd)>hDF-$\" 3K!y=V&*)GLDF-7$$\"3Zs[E^dK,RF-$\"3R]F<<.6.QF-7$$\"3ab^NehL]_F-$\"3I,* y(H4U7]F-7$$\"35*QhW&\\$Hf'F-$\"3%=pD*eceDhF-7$$\"3zS11.fpPyF-$\"3w>82 *oU&fqF-7$$\"3upr'fwtl7*F-$\"3@)*QjP!>8\"zF-7$$\"3!QRa&4L&f/\"!#<$\"3[ [%3w7ESl)F-7$$\"3YjXwg<#)y6FQ$\"3Pi.Z,bcT#*F-7$$\"36qGW%H$\\:8FQ$\"3!e $pSF\"oen*F-7$$\"3SH22vMov8FQ$\"35_*\\T'zD5)*F-7$$\"3$*)e)pbO(eV\"FQ$ \"3#ffI'ft64**F-7$$\"3/]+3VNj.:FQ$\"3)\\\"3MzUXx**F-7$$\"396:YIMRr:FQ$ \"2-6Ot@)******FQ7$$\"3Z'z]kaJ%R;FQ$\"3Ay8:y_Xw**F-7$$\"3!=3SCmpuq\"FQ $\"3s;Nd#HZn!**F-7$$\"33u?N%*p.tFQ$\"3cBCb^l'3E*F-7$$\"3#=uye<)G*4#FQ $\"3;2*>c4&oN')F-7$$\"3Ua[#o!GC>AFQ$\"3Se*Rp1I-(zF-7$$\"3-YwJf&y(eBFQ$ \"3c:s(f4sF0(F-7$$\"3oNrpV8H#[#FQ$\"3(y]$4EukDhF-7$$\"3EzY)QW/yh#FQ$\" 3?Pawd/k,]F-7$$\"35v)>8'\\%ou#FQ$\"3i\"*R%R(HvXQF-7$$\"3w$GCS?&[\")GFQ $\"3!\\o6f)Q%=d#F-7$$\"3Z%)='p(p70IFQ$\"3Kh5Xo]Ug8F-7$$\"3sA%)\\K8\\QJ FQ$\"3^)pb)>hJ,J!#?7$$\"3c&fJlT>qF$FQ$!3)[9aqyJ,N\"F-7$$\"39l2\"4_3wR$ FQ$!3w\"*=GeHGKDF-7$$\"3MOnGd![y_$FQ$!39*)zsmMAnPF-7$$\"3#*=4JU#)RiOFQ $!3#35.)=3zv\\F-7$$\"3%G,f%[$HSz$FQ$!3!fgI[?W72'F-7$$\"3KoE+7#*Q@RFQ$! 3#=$4p_xMJqF-7$$\"3y(f0ii+G1%FQ$!3WWqZN&GL'zF-7$$\"3;fORr]')*=%FQ$!33* 3&3nLil')F-7$$\"3R&p%*z[LbK%FQ$!3]$[$Q0***4E*F-7$$\"3M'pExBp%[WFQ$!3'R 4g7n[Pl*F-7$$\"3,z&[2')pc^%FQ$!30-Py@682)*F-7$$\"3oh/x$[qGe%FQ$!3$euj/ )>C;**F-7$$\"3qQq'H.,hk%FQ$!3Ief(ReP!y**F-7$$\"3e;O;#eJ$4ZFQ$!3;'*phhK &*****F-7$$\"3sU'G^sDax%FQ$!311%\\AUQ,)**F-7$$\"3&)oO4o)>:%[FQ$!32^6Oe =u;**F-7$$\"3;@9vt*Qh!\\FQ$!31K)*)[7\"*G\")*F-7$$\"3Ou\"4%z!e2(\\FQ$!3 _#49llz!o'*F-7$$\"3*zX#[4&eg5&FQ$!3]_&yQBx]B*F-7$$\"3n*e![/*ojB&FQ$!3o \"*oMmwMe')F-7$$\"3#ob8X5I'p`FQ$!3Froqht!o\"zF-7$$\"3PA\"GX$yy,bFQ$!3x 5TwV@sUqF-7$$\"39L1/jqABcFQ$!3)\\'4LY'Q38'F-7$$\"3mweKB,TidFQ$!3iCF-zq _v\\F-7$$\"3'oIe;6(*o)eFQ$!3s)y_Bpo*fQF-7$$\"3nKcu0ii>gFQ$!3dChVjR=0EF -7$$\"3w)*zj%)[mYhFQ$!3]'*=#eVn4O\"F-7$$\"3)****>YH&=$G'FQ$!3/UE[]'efD \"!#D-%'COLOURG6&%$RGBGF)F)F)-%+AXESLABELSG6$Q,X~axis~here6\"Q1Y~axis~ over~hereFh]l-%*THICKNESSG6#\"\"$-%%VIEWG6$;F($\"+3`=$G'!\"*%(DEFAULTG " 1 2 0 1 10 3 2 6 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }} }}}}{MARK "1 2 0 0" 2 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }