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-1 0 0 0 0 0 0 -1 0 }} {SECT 0 {SECT 0 {PARA 3 "" 0 "" {TEXT 278 44 "Calculus and the Interac tive Use of Maple V " }}{PARA 0 "" 0 "" {TEXT 360 22 " ~ A mini-manu al for" }}{PARA 0 "" 0 "" {TEXT 361 66 " ~ A mini-manual for min dful Maple users, by Susan T. Carter" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 359 22 " ~A mini-manual" }}{SECT 0 {PARA 4 "" 0 "" {TEXT 280 5 "What " }{TEXT 283 2 "Is" }{TEXT 284 7 " M aple?" }}{PARA 0 "" 0 "" {TEXT -1 13 "Maple V is a " }{TEXT 281 27 "Sy mbolic Computation System" }{TEXT -1 4 " or " }{TEXT 282 23 "Computer \+ Algebra System" }{TEXT -1 525 ", meaning it has the ability to manipul ate information in a symbolic or algebraic manner. These symbolic ca pabilities can be used to obtain exact analytical solutions to many ma thematical problems from fields as diverse as calculus, linear algebra , numerical analysis, differential equations, etc. The extensive fun ctional ability of Maple is accessed through its worksheet-based graph ical interface. The worksheet is a flexible document upon which mathe matical problems will be computed and technical reports created. " }} }{SECT 0 {PARA 4 "" 0 "" {TEXT 285 27 "The Intent of this Document" }} {PARA 0 "" 0 "" {TEXT -1 787 "The purpose of this document is to famil iarize you with the format and functions of Maple as you will be using it in your Unified Calculus course. Whether you fall into the catego ry of computer expert or complete novice these few pages will lead you step-by-step into your initial involvement with Maple. Those of you \+ who are familiar with conventional software will see that many of Mapl e's standard operations, such as opening, saving, and printing files a re similiar to what you have worked with before. Maple can even do ha ndy things such as cutting and pasting, and will support standard mous e operations. For those of you who are completely computer illiterate (as I was), steps have been carefully and simply broken down in orde r not to leave out the slightest jot or tittle." }}}}{SECT 0 {PARA 3 " " 0 "" {TEXT 259 25 "Where to Begin with Maple" }}{SECT 0 {PARA 4 "" 0 "" {TEXT 256 11 "Logging In " }}{PARA 0 "" 0 "" {TEXT -1 348 "The fi rst order of events is for you to log into the computer. This can be \+ done in two different ways, depending on which workstations you are us ing. If you are working with the SGI's in the Science Vision Lab (Fin e Arts 240 ) you will enter \"calc1\" at the Login prompt and the pas sword, to be given in class, at the Password prompt. From the " } {TEXT 331 8 "Toolches" }{TEXT -1 17 "t menu, click on " }{TEXT 332 7 " Desktop" }{TEXT -1 48 " with the left mouse button then scroll down to " }{TEXT 333 16 "Open Unix Shell " }{TEXT -1 567 "with the mouse. Yo u will then receive a prompt signal which looks like \"scivissgi 01%: \" at which point you should enter \"telnet clam.\" Your next prompt will be \"login:\" when you enter your personal login name, then \"pa ssword:\" when you enter your own password. The last prompt you will \+ receive will be \"clam%:\" and you will enter \"xmaple.\" Now you are in MAPLE - finally. If you're on the Sun Workstations (BSB 109) you \+ can dispense with the \"calc1\" and telnetting stuff and directly logi n to your own account, and then enter \"xmaple\" at the machine prompt \"%.\"" }}}{SECT 0 {PARA 4 "" 0 "" {TEXT 277 16 "You're in Maple!" }} {PARA 0 "" 0 "" {TEXT -1 152 "A few things to notice as the Maple inte rface appears on your screen. There is an overall background screen, \+ on top of which are four layers or bars. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 15 "" 0 "" {TEXT -1 476 "The uppermost bar is the one \+ with \"Maple V Release 4\" at the top. At the far right of this bar \+ you will notice a tiny dot and a square. If you click on the dot, you will iconify the entire screen, meaning the screen will disappear and in its place will appear a little square picture with a maple leaf in side and \"Maple V\" written at the bottom. Merely click on this box \+ to restore the screen. Clicking on the square will either enlarge or \+ reduce the size of the screen. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 15 "" 0 "" {TEXT -1 18 "The next bar, the " }{TEXT 274 8 "menu b ar" }{TEXT -1 35 ", gives the Standard Worksheet Menu" }{TEXT 258 4 " \+ -- " }{TEXT -1 71 "file, edit, view, insert, format, options, window; \+ at the far right is " }{TEXT 334 4 "Help" }{TEXT -1 14 ". Clicking on \+ " }{TEXT 335 4 "Help" }{TEXT -1 166 " is probably the most helpful thi ng you can do to find your way around Maple. It is well worth your wh ile to spend some time dabbling in the various sections of the " } {TEXT 336 4 "Help" }{TEXT -1 30 " menu. For instance click on " } {TEXT 337 5 "Help," }{TEXT -1 15 " then click on " }{TEXT 338 8 "Conte nts" }{TEXT -1 10 " and then " }{TEXT 339 12 "Introduction" }{TEXT -1 18 " (in green) under " }{TEXT 340 10 "What's New" }{TEXT -1 216 ". T his will give you an overview of Maple and some of its functions, alon g with some specific examples of things that you will actually be doin g - eventually. Notice that as you invoke these various items from th e " }{TEXT 341 4 "Help" }{TEXT -1 584 " menu, two additional windows a ppear on your screen. The window that is framed in green is your acti ve window, meaning that it's the window upon which any command will ac t. For instance, if you give a \"print\" command, it will print the \+ activitated window, the one framed in green (more about how to print l ater). To move from one window to another simply place the cursor on \+ the top bar of the window and drag the entire window down to expose an other window. Click on the top bar of this additional window and it w ill be activated (and its frame will turn green in the process). " }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 14 "" 0 "" {TEXT -1 117 "Clickin g on the various categories in this second bar will give you different menus. For instance, if you click on " }{TEXT 342 5 "File " }{TEXT -1 77 "this will open up the file menu, from which you can select com mands such as " }{TEXT 343 4 "Open" }{TEXT -1 2 ", " }{TEXT 344 4 "Sav e" }{TEXT -1 2 ", " }{TEXT 345 5 "Print" }{TEXT -1 50 ", etc. Each he ading will provide a specific menu." }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{PARA 15 "" 0 "" {TEXT -1 18 "The third bar, or " }{TEXT 275 8 "tool \+ bar" }{TEXT -1 157 ", contains button-based shortcuts to executing the commands found in the previously mentioned menus. The best way to in terpret these buttons is by going to " }{TEXT 346 4 "Help" }{TEXT -1 15 " and selecting " }{TEXT 347 12 "Balloon Help" }{TEXT -1 397 " from its menu. Now, when you place the cursor at any one of these buttons , a balloon (just like in the comic strips) will appear describing the function of that particular button. Moving from left to right you wi ll find \"create a new worksheet,\" \"open,\" \"save,\" \"print,\" \"c ut,\" \"copy,\" \"paste,\" \"undo,\" etc. The three different sized \+ X's at the right indicate size of type of your document. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 15 "" 0 "" {TEXT -1 28 "The fourth and l ast bar, the" }{TEXT 276 12 " context bar" }{TEXT -1 145 ", contains c ontrols specific to the task you are currently performing. When you a re actually operating in a worksheet, the categories will have " } {TEXT 257 640 "a format window from which you can select different typ es of display or presentation methods (such as bulleted, highlighted o r normal paragraphs). From the second window you can select different type styles; the default style is \"times\". (Unless you are writin g something in secret code, you are strongly cautioned against using \+ \"itc zapf dingbats!\") The third window allows you to select the typ e size. For all three windows, simply click on the arrow to the rig ht of the window; the options will then be displayed and you can scrol l up or down to view them all and then click on one in order to select it. The next six buttons -- " }{TEXT 260 1 "B" }{TEXT 261 2 ", " } {TEXT 264 1 "I" }{TEXT 265 2 ", " }{TEXT 268 1 "u" }{TEXT 269 85 " and three buttons with lines -- are to be used in conjunction with highli ghting. \"" }{TEXT 262 1 "B" }{TEXT 263 36 "\" will convert text to \+ bold print, \"" }{TEXT 266 1 "I" }{TEXT 267 17 "\" to italic and \"" } {TEXT 270 1 "u" }{TEXT 271 781 "\" will underline highlighted text. T he lined buttons will, from left to right, right justify, center each \+ line (perhaps for a title page), and left justify. In order to highli ght selected portions of text, from a single letter to an entire parag raph, simply drag the cursor through the selected portion with the lef t mouse button. This will highlight your selection in black, at which point you can click once on the appropriate button in order to create the desired effect. When your active window is from the \"Help\" men u, the fourth bar will become faint, and therefore not applicable. Wh en your cursor is in a \"Plot\" worksheet (more on plotting later) the second and fourth bar will display totally different menu selections \+ from the ones displayed for a regular worksheet." }}}{SECT 0 {PARA 4 " " 0 "" {TEXT 279 18 "Moving Right Along" }}{PARA 0 "" 0 "" {TEXT -1 144 "Now you are familiar with the basic Maple interface. Before we \+ embark on some actual Maple applications, allow me to make some commen ts about " }{TEXT 272 6 "format" }{TEXT -1 2 ", " }{TEXT 273 10 "struc ture " }{TEXT -1 3 "and" }{TEXT 287 9 " editing." }}{PARA 5 "" 0 "" {TEXT -1 0 "" }}{PARA 15 "" 0 "" {TEXT -1 196 "If you are, say, writin g a Calculus lab or some other type of document and you want to be sur e that it has a readable format and logical structure you can invoke \+ applicable commands by selecting " }{TEXT 348 6 "Insert" }{TEXT -1 55 " from the top menu bar. From this menu you can choose " }{TEXT 349 9 "Paragraph" }{TEXT -1 2 ", " }{TEXT 350 7 "Section" }{TEXT -1 5 ", o r " }{TEXT 351 10 "Subsection" }{TEXT -1 89 " and achieve separate par agraphs with headings, just as you see on this very page. The " } {TEXT 353 7 "Section" }{TEXT -1 5 " and " }{TEXT 354 10 "Subsection" } {TEXT -1 149 " commands will provide headings which are introduced by little boxes containing a plus or minus sign ; clicking from plus to \+ minus will uncover, or " }{TEXT 286 6 "expand" }{TEXT -1 86 ", the mat erial in the particular section, clicking from minus to plus will \"hi de,\" or " }{TEXT 288 8 "collapse" }{TEXT -1 36 ", it (just as with th e boxes in the " }{TEXT 352 4 "Help" }{TEXT -1 7 " menu)." }}{PARA 15 "" 0 "" {TEXT -1 88 "Before we consider how to edit things in Maple, l et's talk about execution groups. An " }{TEXT 289 15 "execution grou p" }{TEXT -1 104 " is the fundamental computation and documentation el ement for the worksheet (see a full description of " }{TEXT 290 16 "e xecution groups" }{TEXT -1 4 " at " }{TEXT 355 6 "How To" }{TEXT -1 36 " from the Worksheet Interface under " }{TEXT 356 10 "What's New" } {TEXT -1 25 " on the contents page of " }{TEXT 357 4 "Help" }{TEXT -1 354 "). Each execution group is enclosed in a large square bracket a t the left (as in this entire section \"Moving Right Along\"). An exe cution group can contain Maple input commands, output from computation , text or graphics. Execution groups can be nested within execution \+ groups, as is the case with our present subsections being nested withi n sections." }}{PARA 256 "" 0 "" {TEXT -1 144 " You can delete things \+ -- from a single character to an entire section-- in Maple simply by \+ highlighting what you want to delete and selecting " }{TEXT 291 3 "Cut " }{TEXT -1 10 " from the " }{TEXT 292 5 "Edit " }{TEXT -1 58 "menu (o r, alternatively, by highlighting and pressing the " }{TEXT 293 6 "Del ete" }{TEXT -1 134 " button). In order to highlight a section or an e xecution group, double click on the bracket enclosing the selection an d then choose " }{TEXT 294 3 "Cut" }{TEXT -1 4 " or " }{TEXT 295 6 "De lete" }{TEXT -1 63 ". If perchance you delete something by mistake, \+ click on the" }{TEXT 296 5 " Undo" }{TEXT -1 135 " button from the To ol Bar (the one that looks like a sideways U-turn sign) and, voila!, t he deleted selection will magically return. " }}{PARA 15 "" 0 "" {TEXT -1 245 "Sections, subsections and paragraphs can be inserted int o your current document, whether it is text or Maple input. If you w ant to insert a paragraph before or after a section or an execution gr oup, click on the enclosing bracket, then choose " }{TEXT 297 9 "Parag raph" }{TEXT -1 10 " from the " }{TEXT 298 6 "Insert" }{TEXT -1 10 " m enu and " }{TEXT 299 7 "Before " }{TEXT -1 3 "or " }{TEXT 300 6 "After " }{TEXT -1 233 "from the ensuing submenu. To do this within Maple i nput, simply place the cursor in the unput, and proceed as stated abov e. To insert a section or a subsection, place the cursor where you wa nt the (sub)section to appear and choose " }{TEXT 301 7 "Section" } {TEXT -1 4 " or " }{TEXT 302 10 "Subsection" }{TEXT -1 10 " from the \+ " }{TEXT 303 6 "Insert" }{TEXT -1 6 " menu." }}{PARA 15 "" 0 "" {TEXT -1 172 "Different font styles and format styles can be selected with M aple. To change the font style of a selected group of words simply h ighlight the desired group and press the" }{TEXT 304 7 " right " } {TEXT -1 52 "mouse button and scroll down the droplist to select " } {TEXT 305 9 "Character" }{TEXT -1 51 ". To create a new style, such a s bulleted, select " }{TEXT 306 5 "Style" }{TEXT -1 11 "s from the " } {TEXT 307 6 "Format" }{TEXT -1 6 " menu." }}{PARA 5 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 186 "Now that you have some basic for matting tools at your disposal, we are ready to embark on our mission \+ with Maple. We'll begin by trying our hand at a few simple examples f rom Calculus." }}}}{PARA 3 "" 0 "" {TEXT -1 0 "" }}{SECT 0 {PARA 3 "" 0 "" {TEXT 308 28 "Working on a Maple Worksheet" }}{PARA 0 "" 0 "" {TEXT -1 227 "Begin by starting Maple, as previously discussed. Look for the Maple prompt, (>), located near the top left of the large bla nk worksheet region. After this prompt, type the command, taylor(sin( x), x=0);, and then press the " }{TEXT 309 5 "enter" }{TEXT -1 176 " \+ key. Be sure to include the semicolon after each Maple command. Mapl e executes your command and displays the result. What will appear on \+ your worksheet will look like this:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "taylor(sin(x), x=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#++%\"xG\"\"\"\"\"\"#!\"\"\"\"'\"\"$#F%\"$?\"\"\"&-%\"OG6#F%\"\"'" } }}{PARA 0 "" 0 "" {TEXT -1 45 "By default Maple displays your input i n red." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 92 "Next, let's try to plot a simple and familiar parabolic function. No te that we include the " }{TEXT 310 1 "x" }{TEXT -1 5 " and " }{TEXT 311 1 "y" }{TEXT -1 153 " parameters for a plot command.At the next Ma ple prompt type the command, plot(x^2 + 2, x=-3..3, y=0..5);, and pres s enter. Here's what you should have:" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "plot(x^2 + 2, x=-3..3,y= 0..5);" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 31 "A familiar graph of a parabola!" }}}{PARA 0 "" 0 "" {TEXT -1 81 "Now \+ there are a couple of things you should be familiar with when you're u sing a " }{TEXT 312 4 "plot" }{TEXT -1 734 " command. Notice that the graph of the parabola was inserted directly onto the worksheet. The re is an alternative method of displaying a plot; it can be displayed \+ in a separate window. This can save space on your worksheet, and als o give you the opportunity to line up several windows of plots at one \+ time. Let's try to do this. Go back to the plot command that you ori ginally typed in and highlight it with your left mouse button. Then, \+ making sure that your cursor is positioned at the next prompt (>) clic k on the middle mouse button. (This copies the command so you don't ha ve to type it all over again.) Now click on \"Options\" from the menu bar, scroll down to \"Plot Display\" and select \"Window.\" Now whe n you hit the " }{TEXT 313 5 "enter" }{TEXT -1 98 " key the graph of t he parabola will be displayed in a small window, separate from the wor ksheet. " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "plot(x^2 + 2, x =-3..3,y=0..5);\n" }}{PARA 0 "" 0 "" {TEXT -1 226 "This is all that yo u will have on your actual worksheet, the plot being displayed in a sm aller window entitled \"Plot2D-1.\" Notice that when your cursor is \+ in this smaller window the selections on the menu bar change, with \+ " }{TEXT 314 11 "Style, Axes" }{TEXT -1 5 " and " }{TEXT 315 10 "Proje ction" }{TEXT -1 134 " being added. Spend a few minutes familiarizing yourself with some of these variations for the plot display. For ins tance, click on " }{TEXT 316 5 "Style" }{TEXT -1 12 " and select " } {TEXT 317 5 "Point" }{TEXT -1 340 " -- this will change the graph from a solid line to one that is plotted with separate dots. By using th e Window option for the Plot Display, you will be able to print out s eparate graphs without having to print out your entire worksheet. To \+ print a worksheet or a window, by sure your cursor is in the desired r egion, and either choose " }{TEXT 318 4 "File" }{TEXT -1 30 " from the menu bar and select " }{TEXT 319 5 "Print" }{TEXT -1 70 " -- this wil l give you a window from which you need only click on the " }{TEXT 320 6 "print " }{TEXT -1 114 "button at the bottom; or simply click on the fourth button from the left on the tool bar which will also give \+ the " }{TEXT 321 5 "Print" }{TEXT -1 161 " window. Now, if you'd like to label your graph (or put your name on it or whatever) you'll have \+ to specifiy that information in the actual command, as follows:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 85 "plot(x^2 + 2, x=-3..3,y=0..5 ,\ntitle=`Parabola y=x^2 + 2`,titlefont=[TIMES,ROMAN,18]);" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 522 "The one glitch with creating a title is that there does not seem to be a way of desc ribing the graph in standard mathematical notation. Any Maple command , however, can be converted to standard math simply by placing the cu rsor after the semi-colon of the command and then toggling the first b utton \"x\" of the context bar (the \"x\" is just to the left of the M aple leaf icon in this bar). Again, copy the plot command for the par abola at the next Maple prompt, then convert it into standard math for mat to look like this:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "plot(x^2 + 2, x=-3..3,y=0..5);\n" "-% %plotG6%,&*$%\"xG\"\"#\"\"\"\"\"#F)/F';,$\"\"$!\"\"\"\"$/%\"yG;\"\"!\" \"&" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 123 "E xecuting this command will give you exactly the same output that you g ot before, (displayed either inline or in a window)." }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 18 "It's possible that" } {TEXT 323 7 " you'll" }{TEXT 324 1 " " }{TEXT -1 596 "want to have mor e that one worksheet going at a time. Say, for example, I want to hav e a worksheet that includes all the commands that I've just written on this page, but only the commands (without the mumbo-jumbo). I can s tart a new worksheet simply by clicking on the left-most button on the tool bar (a retangular sheet of paper with the top righthand corner f olded down). I can then copy each command I've already typed onto my \+ previous worksheet, executing each one as I go along in order for the \+ next prompt to appear. I'll then want to save this worksheet; I can \+ do this by choosing " }{TEXT 325 4 "File" }{TEXT -1 10 " and then " } {TEXT 326 5 "Save " }{TEXT -1 251 "from the menu bar, or by clicking o n the third button on the context bar. In either case a small window \+ entitled \"Save As\" will appear with the cursor flashing in a rectang ular box; clear this box and insert the name of your file, then select \"OK.\" " }}{PARA 0 "" 0 "" {TEXT -1 43 "It's a good idea to periodi cally click the " }{TEXT 322 4 "Save" }{TEXT -1 143 " button while you 're in a worksheet. You don't want to logout only to learn that your \+ many hours of hard labor have disappeared into thin air!" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 591 "Before we move on to some other examples of Maple's computational capabilities, let's d o one last experiment with our beloved parabola. Recall that I mentio ned that it might be advantageous for reasons other than saving space \+ on the worksheet for you to display plots in separate windows. Suppo se I want to compare the graphs of six parabolas with a variety of ver tical and horizontal shifts. I simply have to type in the plot comman d for one, copy it five times and then make minor modifications for ea ch one. For example, start with plot(x^2, x=-4..4, y=-4..4) as your b asic parabola:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "plot(x^2,x=- 4..4,y=-4..4,title=`y=x^2`);" }}{PARA 0 "" 0 "" {TEXT -1 17 "From here select " }{TEXT 327 5 "Inser" }{TEXT -1 8 "t, then " }{TEXT 328 15 "E xecution Group" }{TEXT -1 7 ", then " }{TEXT 329 11 "After Curso" } {TEXT -1 82 "r; do this five times and you can just copy the basic com mand and modify each one." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " > " 0 "" {MPLTEXT 1 0 49 "plot(x^2 + 2, x=-4..4, y=-2..6,title=`y=x^2 \+ +2`);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "plot(x^2 - 2, x=-4..4, y=- 4..4,title=`y=x^2 -2`);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "plot((x+ 2)^2, x=-4..4, y=-4..4,title=`y=(x+2)^2`);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "plot((x-1)^2 + 2, x=-4..4, y=-4..6,title=`y=(x-1)^2 + 2`);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "plot((x+3)^2 - 2, x=-6..2, y=-4..4,title=`y=(x+3)^2 - 2`);" }}{PARA 0 "" 0 "" {TEXT -1 321 "Plot ting each of these parabolas and displaying them in window format enab les you to then lay out the windows side-by-side on the worksheet and \+ compare their vertical and horizontal shifts; this visualization helps you to make the connection between the function of the graph and how \+ a slight variation will make it look." }}}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{SECT 0 {PARA 4 "" 0 "" {TEXT 330 28 "Other Computational Commands " }}{PARA 0 "" 0 "" {TEXT -1 78 "You can try out some of these example s by inserting the input at a prompt (>)." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "12 + 13 + 14;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#\"#R" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "123 * 456; " }}{PARA 0 "" 0 "" {TEXT -1 50 "No te that a \"*\" signifies multiplication in Maple." }}{PARA 11 "" 1 " " {XPPMATH 20 "6#\"&)3c" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 " f1 :=expand( x*(x-2)*(x+3) );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#f1 G,(*$%\"xG\"\"$\"\"\"*$F'\"\"#F)F'!\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "factor( \" );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*(% \"xG\"\"\",&F$F%!\"#F%F%,&F$F%\"\"$F%F%" }}{PARA 0 "" 0 "" {TEXT -1 110 "The use of \" inside a set of parentheses simply repeats the last expression that was displayed in parentheses." }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 14 "solve(f1=0,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%\"\"!!\"$\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "int (3*x^2,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$%\"xG\"\"$" }}}{PARA 0 "" 0 "" {TEXT -1 645 "These are just a few examples of the types of \+ computations Maples can perform. You will encounter many more example s in your Lab sessions, and in the Calculus with Maple books you'll be reading. You'll find that you will quickly catch on to the Maple pr ogramming language (Maple will force you to, otherwise it won't run!). If you write an error into a command Maple will usually alert you to a \"syntax error,\" sometimes giving you the specifics of what is wro ng; if you cannot figure out what is wrong, ask questions -- that 's w hy we're here!! You'll find that you will soon be catching your own m istakes, and then programming flawlessly." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 119 "Most importantly, spend time tryi ng out the examples used in class and in lab sessions, resort to the \+ advice given in " }{TEXT 358 4 "Help" }{TEXT -1 228 " and make use of \+ the many Calc with Maple manuals available. You'll find Maple to be a n invaluable tool and visual enhancement in your Calculus studies if \+ you invest the time to become familiar with it. Above all, have fun!! !" }}}}}{MARK "3 8 2" 326 }{VIEWOPTS 1 1 0 1 1 1803 }