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255 0 0 1 2 1 2 2 1 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE " " -1 256 1 {CSTYLE "" -1 -1 "Courier" 1 18 255 0 0 1 2 1 2 2 1 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "" -1 257 1 {CSTYLE "" -1 -1 "Courier" 1 18 255 0 0 1 2 1 2 2 1 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{CSTYLE "" -1 223 "Times" 1 18 0 0 0 1 1 2 2 2 2 2 0 0 0 1 } {CSTYLE "" -1 224 "Times" 1 18 0 0 0 1 1 2 2 2 2 2 0 0 0 1 }{CSTYLE "" -1 225 "Times" 1 18 0 128 128 1 2 2 1 2 2 2 0 0 0 1 }{PSTYLE "" -1 258 1 {CSTYLE "" -1 -1 "Courier" 1 18 255 0 0 1 2 1 2 2 1 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }} {SECT 0 {EXCHG {PARA 208 "" 0 "" {TEXT 207 22 "Introduction to Maple " }{TEXT 200 21 " (Extended Version)" }}{PARA 209 "" 0 "" {TEXT 200 18 "by Corinne Manogue" }}{PARA 0 "" 0 "" {TEXT 226 31 "Copyright 2004 Corinne Manogue\n" }}{PARA 0 "" 0 "" {TEXT 226 569 "In this Maple wor ksheet, you will learn how to use simple Maple commands. You will als o learn how to use the on-line help features in Maple and how to print worksheets and graphs. Open a section by clicking the left mouse butt on on the plus sign to the left of the section title. Clicking on the arrow heads at the top and bottom of the scroll bar to the right of t his window will allow you to move through this document. You can also use the arrow keys and/or Tab and Shift-Tab to move the cursor up and down in this document. Try out what these various things do." }} {PARA 0 "" 0 "" {TEXT 226 0 "" }}{PARA 0 "" 0 "" {TEXT 226 148 "Throug hout this worksheet there are a number of hyperlinks. These hyperlink s are underlined and green. Clicking on a hyperlink will take you to \+ a " }{HYPERLNK 208 "help" 2 "help" "" }{TEXT 226 33 " page for the ass ociated command." }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}}{SECT 1 {PARA 210 "" 0 "" {TEXT 200 13 "INTRODUCTION:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "restart: " }{HYPERLNK 209 "restart " 2 "restart" "" }{TEXT 226 18 " " }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 761 "Listed below are a number of useful Maple comma nds which start with an input prompt (shaped like a greater than sign) and are colored red. To see what any of these commands do, put the c ursor on the line of the command you would like to try (use the arrow \+ keys or click the left mouse button on the command) and then hit retur n. Maple is interactive. You can change any line you like (put the c ursor where you want the change and just type or delete) and then re-e nter it to see the new output. You can get a new input prompt (called an execution group) from the Insert menu. Experiment! You cannot de stroy the masterfile by anything you do in this session. If you reall y mess things up, you can start fresh by selecting \"Open\" again from the File menu.\n" }{TEXT 226 1 "\n" }{TEXT 226 16 "IMPORTANT NOTE:\n" }{TEXT 226 632 "Notice that Maple commands must end with a semicolon \+ or colon. This is so that you can enter commands which are more than \+ one line long. If the command ends in a semi-colon, Maple will displa y the output below the command. This is what you usually want to happ en. If the command ends in a colon, Maple calculates the answer, but \+ does not display it. This can be useful if the command is an intermed iate part of the calculation which doesn't interest you much and if th e answer is long. Be careful though, if Maple isn't giving you an ans wer, maybe you mistakenly typed a colon instead of a semicolon at the \+ end of the command." }}}{EXCHG {PARA 211 "> " 0 "" {MPLTEXT 1 0 0 "" } }}}{SECT 1 {PARA 212 "" 0 "" {TEXT 200 20 "GENERAL INFORMATION:" }} {EXCHG {PARA 213 "> " 0 "" {MPLTEXT 1 0 10 "3/8+25/32;" }}}{EXCHG {PARA 214 "> " 0 "" {MPLTEXT 1 0 4 "3^2;" }}}{EXCHG {PARA 215 "> " 0 " " {MPLTEXT 1 0 8 "3*2+4^2;" }}}{EXCHG {PARA 216 "> " 0 "" {MPLTEXT 1 0 9 "sqrt(12);" }}}{EXCHG {PARA 217 "> " 0 "" {MPLTEXT 1 0 10 "sin(Pi/ 4);" }}}{EXCHG {PARA 218 "> " 0 "" {MPLTEXT 1 0 16 "factor(x^2-y^2);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 93 "The exponential function is de fined as follows. Note: this is not the same as typing e^(-1)." }} {PARA 219 "> " 0 "" {MPLTEXT 1 0 8 "exp(-1);" }{TEXT 226 0 "" }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 220 "As y ou can see from the examples above, Maple always tries to calculate an exact answer. If you want exact results, you need to give Maple exac t input. When you want Maple to calculate exact answers use fractions like " }{XPPEDIT 18 0 "Typesetting:-mrow(Typesetting:-mfrac(Typesetti ng:-mrow(Typesetting:-mn(\"1\", mathvariant = \"normal\")), Typesettin g:-mrow(Typesetting:-mn(\"2\", mathvariant = \"normal\")), linethickne ss = \"1\", denomalign = \"center\", numalign = \"center\", bevelled = \"false\"));" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_syslibGF'6 #-I&mfracGF$6(-F#6#-I#mnGF$6$Q\"1F'/%,mathvariantGQ'normalF'-F#6#-F16$ Q\"2F'F4/%.linethicknessGQ\"1F'/%+denomalignGQ'centerF'/%)numalignGFA/ %)bevelledGQ&falseF'" }{TEXT 226 35 " (not .5) and exact constants lik e " }{XPPEDIT 18 0 "Typesetting:-mrow(Typesetting:-mi(\"\1700\", itali c = \"false\", mathvariant = \"normal\"));" "-I%mrowG6#/I+modulenameG6 \"I,TypesettingGI(_syslibGF'6#-I#miGF$6%Q%πF'/%'italicGQ&falseF'/%, mathvariantGQ'normalF'" }{TEXT 226 36 " (not 3.14). In Maple commands use " }{TEXT 0 2 "Pi" }{TEXT 226 12 " instead of " }{XPPEDIT 18 0 "Ty pesetting:-mrow(Typesetting:-mi(\"\1700\", italic = \"false\", mathvar iant = \"normal\"));" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_sys libGF'6#-I#miGF$6%Q%πF'/%'italicGQ&falseF'/%,mathvariantGQ'normalF' " }{TEXT 226 1 "." }}{PARA 220 "> " 0 "" {MPLTEXT 1 0 16 "Cos(Pi)=cos( Pi);" }{TEXT 226 0 "" }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 121 "In many cas es, a numerical approximation is desired. To obtain an approximate nu merical value for an expression use the " }{TEXT 206 5 "evalf" }{TEXT 226 9 " command." }}{PARA 0 "" 0 "" {TEXT 226 49 "evalf is mneumonic f or \"evaluate-floating point.\"" }}}{EXCHG {PARA 221 "> " 0 "" {MPLTEXT 1 0 29 "evalf(exp(-1)); " }{HYPERLNK 210 "evalf" 2 "evalf" "" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 0 16 "evalf(sqrt(12));" }{TEXT 200 0 "" }}}{EXCHG {PARA 223 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 0 "" 0 "" {TEXT 226 9 " CALCULUS:" }}{EXCHG {PARA 224 "> " 0 "" {MPLTEXT 1 0 30 "int(2*x,x); \+ " }{HYPERLNK 211 "int" 2 "int" "" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 225 "> " 0 "" {MPLTEXT 1 0 34 "Int(2*x,x=0..1)=int(2*x ,x=0..1); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "diff(x^2*y^3 ,x,y); " }{TEXT 226 1 " " }{HYPERLNK 212 "diff" 2 "diff" "" }{TEXT 226 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 46 "What do you th ink will happen if you make the " }{TEXT 206 4 "diff" }{TEXT 226 22 " \+ in the above command " }{TEXT 206 4 "Diff" }{TEXT 226 48 "? Try it an d see if your prediction is correct!" }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 67 "At the prompt below, type the following expression and evaluate it." }}{PARA 0 "" 0 "" {XPPEDIT 18 0 "Typesetting:-mrow(Typesetting:-mi(\"\", italic = \"true\", executab le = \"true\", font_style_name = \"2D Input\", mathvariant = \"italic \"), Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo(\"∑ \", foreground = \"[144,144,144]\", mathvariant = \"normal\", Typesett ing:-msemantics = \"inert\", fence = \"false\", separator = \"false\", stretchy = \"true\", symmetric = \"false\", largeop = \"true\", movab lelimits = \"true\", accent = \"false\", lspace = \"0.0em\", rspace = \+ \"0.1666667em\"), Typesetting:-mrow(Typesetting:-mi(\"n\", italic = \" true\", mathvariant = \"italic\"), Typesetting:-mo(\"=\", mathvariant \+ = \"normal\", fence = \"false\", separator = \"false\", stretchy = \"f alse\", symmetric = \"false\", largeop = \"false\", movablelimits = \" false\", accent = \"false\", lspace = \"0.2777778em\", rspace = \"0.27 77778em\"), Typesetting:-mn(\"0\", mathvariant = \"normal\")), Typeset ting:-mi(\"\21036\", italic = \"true\", mathvariant = \"italic\"), acc ent = \"false\", accentunder = \"false\"), Typesetting:-mi(\"\", itali c = \"true\", executable = \"true\", font_style_name = \"2D Input\", m athvariant = \"italic\"), Typesetting:-mspace(height = \"0.0ex\", widt h = \"5.0\", depth = \"0.0ex\", linebreak = \"auto\"), Typesetting:-ms up(Typesetting:-mi(\"x\", italic = \"true\", mathvariant = \"italic\") , Typesetting:-mi(\"n\", italic = \"true\", mathvariant = \"italic\"), superscriptshift = \"0\")), Typesetting:-mi(\"\", italic = \"true\", \+ executable = \"true\", font_style_name = \"2D Input\", mathvariant = \+ \"italic\"));" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_syslibGF'6 %-I#miGF$6'Q!F'/%'italicGQ%trueF'/%+executableGF1/%0font_style_nameGQ) 2D~InputF'/%,mathvariantGQ'italicF'-F#6&-I+munderoverGF$6'-I#moGF$6/Q& ∑F'/%+foregroundGQ.[144,144,144]F'/F8Q'normalF'/I+msemanticsGF$Q&i nertF'/%&fenceGQ&falseF'/%*separatorGFM/%)stretchyGF1/%*symmetricGFM/% (largeopGF1/%.movablelimitsGF1/%'accentGFM/%'lspaceGQ&0.0emF'/%'rspace GQ,0.1666667emF'-F#6%-F,6%Q\"nF'F/F7-F@6-Q\"=F'FFFKFN/FQFMFR/FUFM/FWFM FX/FenQ,0.2777778emF'/FhnFfo-I#mnGF$6$Q\"0F'FF-F,6%Q(∞F'F/F7/%'a ccentGFM/%,accentunderGFMF+-I'mspaceGF$6&/%'heightGQ&0.0exF'/%&widthGQ $5.0F'/%&depthGFhp/%*linebreakGQ%autoF'-I%msupGF$6%-F,6%Q\"xF'F/F7F\\o /%1superscriptshiftGQ\"0F'F+" }{TEXT 226 66 " \+ " }{HYPERLNK 213 "Sum" 2 "Sum " "" }{TEXT 226 50 " " }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}{PARA 0 "" 0 "" {TEXT 226 95 "Try equating the unevaluated quantity to the evaluated quantity, as done \+ in the integral above." }}{PARA 226 "> " 0 "" {MPLTEXT 1 0 0 "" }}}} {SECT 1 {PARA 0 "" 0 "" {TEXT 226 16 "COMPLEX NUMBERS:" }}{EXCHG {PARA 0 "" 0 "" {TEXT 226 62 "Note: capital I is defined to be the squ are root of minus one." }}{PARA 227 "> " 0 "" {MPLTEXT 1 0 9 "Z:=3+2*I ;" }}}{EXCHG {PARA 228 "> " 0 "" {MPLTEXT 1 0 9 "W:=5+4*I;" }{TEXT 226 0 "" }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 65 "To find the real and imaginary parts of a complex number use the " }{TEXT 206 2 "Re" }{TEXT 226 5 " and " }{TEXT 206 2 "Im" } {TEXT 226 10 " commands:" }}{PARA 229 "> " 0 "" {MPLTEXT 1 0 30 "Re(Z) ; " }{HYPERLNK 214 "Re" 2 "Re" "" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 230 "> " 0 "" {MPLTEXT 1 0 30 "`Im(z)`:=Im(Z); \+ " }{HYPERLNK 215 "Im" 2 "Im" "" }{MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 231 "> " 0 "" {MPLTEXT 1 0 12 "C:=exp(2*I);" }{TEXT 226 0 "" }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 4 "The " }{TEXT 0 5 "evalc" }{TEXT 226 95 ", \"evaluate-complex,\" command separates a complex expression into its real and imaginary pa rts." }}{PARA 232 "> " 0 "" {MPLTEXT 1 0 28 "evalc(C); \+ " }{HYPERLNK 216 "evalc" 2 "evalc" "" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 233 "> " 0 "" {MPLTEXT 1 0 4 "Z+W;" }}}{EXCHG {PARA 234 "> " 0 " " {MPLTEXT 1 0 4 "Z*C;" }}}{EXCHG {PARA 235 "> " 0 "" {MPLTEXT 1 0 11 "evalc(Z*C);" }}}{EXCHG {PARA 236 "> " 0 "" {MPLTEXT 1 0 25 "abs(Z+W); " }{HYPERLNK 217 "abs" 2 "abs" "" }{MPLTEXT 1 0 0 "" } }}{EXCHG {PARA 237 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 0 "" 0 "" {TEXT 226 15 "LINEAR ALGEBRA:" }}{EXCHG {PARA 0 "" 0 "" {TEXT 226 226 "The commands we have used thus far are all built-in Maple fun ctions. Many of the commands available in Maple are contained in exte rnal packages. In order to use these commands, the package must first be loaded. To load the " }{HYPERLNK 218 "Linear Algebra Package" 2 " linalg" "" }{TEXT 226 13 " execute the " }{TEXT 0 12 "with(linalg)" } {TEXT 226 9 " command." }}{PARA 238 "> " 0 "" {MPLTEXT 1 0 29 "with(li nalg): " }{HYPERLNK 219 "with" 2 "with" "" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 115 "Now, all the commands \+ in the linear algebra package are available. To define a vector a=(i+ 2j+3k) or b=(4i+5j+6k):" }}{PARA 239 "> " 0 "" {MPLTEXT 1 0 11 "a:=[1, 2,3];" }}}{EXCHG {PARA 240 "> " 0 "" {MPLTEXT 1 0 11 "b:=[4,5,6];" }}} {EXCHG {PARA 241 "> " 0 "" {MPLTEXT 1 0 12 "matadd(a,b);" }}}{EXCHG {PARA 242 "> " 0 "" {MPLTEXT 1 0 10 "`a+b`=a+b;" }}}{EXCHG {PARA 243 " > " 0 "" {MPLTEXT 1 0 13 "dotprod(a,b);" }}}{EXCHG {PARA 244 "> " 0 "" {MPLTEXT 1 0 15 "crossprod(a,b);" }}}{EXCHG {PARA 245 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 0 {PARA 0 "" 0 "" {TEXT 226 6 "PLOTS:" }} {EXCHG {PARA 246 "> " 0 "" {MPLTEXT 1 0 29 "plot(sin(x),x=0..6*Pi); \+ " }{HYPERLNK 220 "plot" 2 "plot" "" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 247 "> " 0 "" {MPLTEXT 1 0 32 "plot(\{sin(x),cos(x)\},x=0..6*Pi) ;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 62 "Create a two dimensional pl ot of your own at the prompt below:" }}{PARA 248 "> " 0 "" {MPLTEXT 1 0 1 " " }{TEXT 226 0 "" }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 43 "To create a three dimensional plot use t he " }{HYPERLNK 221 "plot3d" 2 "plot3d" "" }{TEXT 226 75 " command. U se the left mouse button to rotate the orientation of the plot." }} {PARA 249 "> " 0 "" {MPLTEXT 1 0 41 "plot3d(sin(x+y),x=-Pi..Pi,y=-Pi/2 ..Pi/2,\n" }{MPLTEXT 1 0 12 "axes=BOXED);" }{TEXT 226 0 "" }}{PARA 0 " " 0 "" {TEXT 226 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 29 "Plot the following functions:" }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}{PARA 0 "" 0 "" {TEXT 226 4 "1) " }{XPPEDIT 18 0 "Typesetting:-mrow(Typesetting:- mi(\"\", italic = \"true\", executable = \"true\", font_style_name = \+ \"2D Input\", mathvariant = \"italic\"), Typesetting:-mrow(Typesetting :-mi(\"\", italic = \"true\", executable = \"true\", font_style_name = \"2D Input\", mathvariant = \"italic\"), Typesetting:-mrow(Typesettin g:-mi(\"sin\", italic = \"false\", mathvariant = \"normal\"), Typesett ing:-mo(\"⁡\", mathvariant = \"normal\", fence = \"false \", separator = \"false\", stretchy = \"false\", symmetric = \"false\" , largeop = \"false\", movablelimits = \"false\", accent = \"false\", \+ lspace = \"0.0em\", rspace = \"0.0em\"), Typesetting:-mfenced(Typesett ing:-mrow(Typesetting:-mi(\"x\", italic = \"true\", mathvariant = \"it alic\")), mathvariant = \"normal\")), Typesetting:-mo(\"+\", mathvaria nt = \"normal\", fence = \"false\", separator = \"false\", stretchy = \+ \"false\", symmetric = \"false\", largeop = \"false\", movablelimits = \"false\", accent = \"false\", lspace = \"0.2222222em\", rspace = \"0 .2222222em\"), Typesetting:-mrow(Typesetting:-mi(\"cos\", italic = \"f alse\", mathvariant = \"normal\"), Typesetting:-mo(\"⁡\" , mathvariant = \"normal\", fence = \"false\", separator = \"false\", \+ stretchy = \"false\", symmetric = \"false\", largeop = \"false\", mova blelimits = \"false\", accent = \"false\", lspace = \"0.0em\", rspace \+ = \"0.0em\"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi( \"y\", italic = \"true\", mathvariant = \"italic\")), mathvariant = \" normal\")), Typesetting:-mi(\"\", italic = \"true\", executable = \"tr ue\", font_style_name = \"2D Input\", mathvariant = \"italic\")), Type setting:-mi(\"\", italic = \"true\", executable = \"true\", font_style _name = \"2D Input\", mathvariant = \"italic\"));" "-I%mrowG6#/I+modul enameG6\"I,TypesettingGI(_syslibGF'6%-I#miGF$6'Q!F'/%'italicGQ%trueF'/ %+executableGF1/%0font_style_nameGQ)2D~InputF'/%,mathvariantGQ'italicF '-F#6'F+-F#6%-F,6%Q$sinF'/F0Q&falseF'/F8Q'normalF'-I#moGF$6-Q0&ApplyFu nction;F'FC/%&fenceGFB/%*separatorGFB/%)stretchyGFB/%*symmetricGFB/%(l argeopGFB/%.movablelimitsGFB/%'accentGFB/%'lspaceGQ&0.0emF'/%'rspaceGF Y-I(mfencedGF$6$-F#6#-F,6%Q\"xF'F/F7FC-FF6-Q\"+F'FCFIFKFMFOFQFSFU/FXQ, 0.2222222emF'/FenFbo-F#6%-F,6%Q$cosF'FAFCFE-Fgn6$-F#6#-F,6%Q\"yF'F/F7F CF+F+" }{TEXT 226 1 " " }}{PARA 0 "" 0 "" {TEXT 226 4 "2) " } {XPPEDIT 18 0 "Typesetting:-mrow(Typesetting:-msup(Typesetting:-mo(\"& ExponentialE;\", mathvariant = \"normal\", fence = \"false\", separato r = \"false\", stretchy = \"false\", symmetric = \"false\", largeop = \+ \"false\", movablelimits = \"false\", accent = \"false\", lspace = \"0 .0em\", rspace = \"0.1111111em\"), Typesetting:-mrow(Typesetting:-mo( \"&uminus0;\", mathvariant = \"normal\", fence = \"false\", separator \+ = \"false\", stretchy = \"false\", symmetric = \"false\", largeop = \" false\", movablelimits = \"false\", accent = \"false\", lspace = \"0.2 222222em\", rspace = \"0.2222222em\"), Typesetting:-mrow(Typesetting:- msup(Typesetting:-mi(\"x\", italic = \"true\", mathvariant = \"italic \"), Typesetting:-mn(\"2\", mathvariant = \"normal\"), superscriptshif t = \"0\")), Typesetting:-mi(\"\", italic = \"true\", executable = \"t rue\", font_style_name = \"2D Input\", mathvariant = \"italic\")), sup erscriptshift = \"0\"));" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI( _syslibGF'6#-I%msupGF$6%-I#moGF$6-Q/ⅇF'/%,mathvariantGQ'n ormalF'/%&fenceGQ&falseF'/%*separatorGF7/%)stretchyGF7/%*symmetricGF7/ %(largeopGF7/%.movablelimitsGF7/%'accentGF7/%'lspaceGQ&0.0emF'/%'rspac eGQ,0.1111111emF'-F#6%-F/6-Q*&uminus0;F'F2F5F8F:FF@FB/FEQ,0.2222222 emF'/FHFP-F#6#-F,6%-I#miGF$6%Q\"xF'/%'italicGQ%trueF'/F3Q'italicF'-I#m nGF$6$Q\"2F'F2/%1superscriptshiftGQ\"0F'-FW6'Q!F'FZ/%+executableGFfn/% 0font_style_nameGQ)2D~InputF'FgnF]o" }{TEXT 226 1 " " }}{PARA 0 "" 0 " " {TEXT 226 0 "" }}{PARA 0 "" 0 "" {TEXT 226 200 " Should you use a tw o or a three dimensional plot? First you must get a prompt for this m aple input. Go to the top bar on the Maple window and click on the sy mbol that looks like an input prompt [>." }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 447 "There are two different \+ ways to display plot windows: \"Inline\" and \"Window.\" You can togg le back and forth between these two options by choosing \"Plot Display \" from the Options menu. For worksheets in-class, please use \"Windo w.\" It helps the instructors keep track of where everyone is. In-cl ass worksheets should be set for this as the default. For your own wo rksheets, particularly if you are printing them, you might want to use \"In-line.\"" }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 64 "To use the commands in the plots package (with the e xception of " }{TEXT 0 4 "plot" }{TEXT 226 5 " and " }{TEXT 0 6 "plot3 d" }{TEXT 226 50 " which don't require it), you must begin with the " }{TEXT 0 11 "with(plots)" }{TEXT 226 11 " statement." }}{PARA 250 "> " 0 "" {MPLTEXT 1 0 23 "with(plots): " }{HYPERLNK 222 "plots \+ package" 2 "plots" "" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 251 "> " 0 "" {MPLTEXT 1 0 61 "fieldplot([(x^2+y^2)^(1/2),(x^2+y^2)^(1/2)],x=-2..2, y=-2..2);" }}}{EXCHG {PARA 252 "> " 0 "" {MPLTEXT 1 0 62 "fieldplot3d( [2*x,2*y,1],x=-1..1,y=-1..1,z=-1..1,grid=[5,5,5]);" }}}{EXCHG {PARA 253 "> " 0 "" {MPLTEXT 1 0 45 "gradplot( (x^2+y^2+1)^(1/2),x=-2..2,y=- 2..2);" }}}{EXCHG {PARA 254 "> " 0 "" {MPLTEXT 1 0 59 "gradplot3d( (x^ 2+y^2+z^2+1)^(1/2),x=-2..2,y=-2..2,z=-2..2);" }}}{EXCHG {PARA 0 "" 0 " " {TEXT 226 29 "Try a field plot of your own." }}}{EXCHG {PARA 255 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 0 {PARA 0 "" 0 "" {TEXT 226 11 "MAP LE HELP:" }}{PARA 0 "" 0 "" {TEXT 226 115 "There are several ways of g etting help in Maple. If you know the name of the command you need hel p with, just type " }{MPLTEXT 1 0 9 "?command;" }}{EXCHG {PARA 256 "> " 0 "" {MPLTEXT 1 0 6 "?plot;" }}}{EXCHG {PARA 257 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 226 168 "If you would like he lp with a command that is already typed out on the screen, place the c ursor somewhere in that word by clicking on the word and then select \+ \"Help on " }{TEXT 223 1 "'" }{TEXT 226 7 "command" }{TEXT 224 1 "'" } {TEXT 226 55 "\" from the Help menu at the far right of the top bar. " }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}{PARA 0 "" 0 "" {TEXT 226 251 "An other way to get help is to select \"Introduction\" from the Help menu . This gives you access to a list of Maple commands organized in a t ree-like menu structure. By clicking on the words in the menu structu re, you can navigate through the menus. " }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}{PARA 0 "" 0 "" {TEXT 226 282 "Sometimes, especially when y ou aren't sure exactly what you are looking for, the search options ar e quickest. Selecting either \"Topic Search\" or \"Full Text Search\" from the Help menu takes you to a search dialog box. For more informa tion on how to get help in maple, check out the " }{HYPERLNK 225 "Help System Guide" 2 "HelpGuide" "" }{TEXT 226 2 ". " }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}{PARA 0 "" 0 "" {TEXT 226 111 "There is also a tutori al available. To work through the tutorial, select \"New User's Tour \" from the Help menu." }}}{EXCHG {PARA 258 "> " 0 "" {MPLTEXT 1 0 0 " " }}}}{SECT 1 {PARA 0 "" 0 "" {TEXT 226 28 "SAVING YOUR MAPLE WORKSHEE T:" }}{EXCHG {PARA 0 "" 0 "" {TEXT 226 525 "DO NOT SAVE YOUR WORKSHEET WITH ALL THE MAPLE OUTPUT AND GRAPHICS. If you want to save your wor k, so that you have some examples to look at in future, first go to th e Edit menu and select \"Remove Output\" and then \"From Worksheet.\" \+ Then select \"Save As\" from the File menu. A new window will come u p with a box in which you should type the name of the file to which yo u want to save the worksheet; Maple worksheets customarily end in \".m ws\". You may want to create a separate Maple directory in which to s tore these files." }}{PARA 0 "" 0 "" {TEXT 226 1 "\n" }{TEXT 226 514 " Note for future reference: To retrieve the file you have saved, selec t Open from the File menu when you have started Maple and enter the fi lename in the dialog box. Maple does not retain a memory of having ex ecuted the code. Therefore you must re-execute the code to use the fi le. You can do this by hitting the return key after each line you wis h to execute (if you only want to execute part of the file) OR you can execute the entire worksheet by selecting \"Execute\" and then \"Work sheet\" from the Edit menu.\n" }}}}{SECT 1 {PARA 0 "" 0 "" {TEXT 226 35 "PRINTING A MAPLE WORKSHEET OR PLOT:" }}{EXCHG {PARA 0 "" 0 "" {TEXT 226 65 "You can print a worksheet by choosing \"Print\" from the File menu." }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}}{EXCHG {PARA 0 "" 0 " " {TEXT 226 208 "Notice that when you are looking at a plot, the top b ar changes. (Click on the plot, if necessary.) When the plot is acti ve in this way, you can print the plot alone by choosing \"Print\" fro m the File menu. " }}{PARA 0 "" 0 "" {TEXT 226 0 "" }}}}{SECT 1 {PARA 0 "" 0 "" {TEXT 226 14 "EXITING MAPLE:" }}{EXCHG {PARA 0 "" 0 "" {TEXT 226 153 "Now, exit Maple by selecting \"Exit\" from the File menu. T hen logoff the computer by selecting \"End Session\" from the Root Men u on the left mouse button." }}}}} {MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }