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}}{PARA 257 "" 0 "" {TEXT -1 9 "Math 2250" }}{PARA 258 "" 0 "" {TEXT -1 21 "Introduction to Maple" }}{PARA 263 "" 0 "" {TEXT 269 0 "" }{TEXT -1 9 "Fall 2008" }}{PARA 260 "" 0 "" {TEXT -1 0 "" }}{PARA 259 "" 0 "" {TEXT -1 241 " This do cument is an introduction to Maple for Math 2250 students who may not \+ have done previous work with this software, or who may just want to br ush up on their skills. An on-line version of this tutorial, without \+ Maple output, is at " }{URLLINK 17 "http://www.math.utah.edu/~korevaa r/2250fall08/2250mapleintro.mws" 4 "http://math.utah.edu/~korevaar/225 0fall03/2250maple.html" "" }}{PARA 261 "" 0 "" {TEXT -1 0 "" }}{PARA 274 "" 0 "" {TEXT -1 140 "............................................ ...................................................................... .........................." }}{PARA 0 "" 0 "" {TEXT -1 179 " These \+ notes were created using the software package Maple in order to introd uce you to Maple, but also to show you the kinds of documents you will be able to create yourself. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 237 " Although this software has been pro duced by a private company since 1988, it originated with Canadian gov ernment support at the University of Waterloo; the originators used th e leaf on the Canadian flag to motivate the name \"Maple.\"" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 717 " You will \+ be using Maple in Math 2250, in order to solve problems and do compute r projects. You should think of this software as analgous to the serv ice provided by Microsoft Word as a tool for writing papers - except M aple lets you create documents which combine text and mathematics. Al ternately, you may use Maple to generate mathematical output, which yo u can then export to other documents. That is closer to how engineers use Matlab, which is more efficient than Maple at doing extremely lar ge computations, but lacks Maple's ability to create text documents an d to easily do symbolic mathematical work. Your specific assignments \+ and required formats will depend on your particular Math 2250 instruct or." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 826 " \+ We recommend Maple 8 in Math 2250, because it has superior graphin g capabilites over the more recent versions, which are Maple 11 and Ma ple 12. The main advantage of these latter versions is that they incl ude more Microsoft Word type bells and whistles. Any Maple 8 document should open in Maple 11-12, but if you are using these latter Maple v ersions and you expect to reopen your document in Maple 8, you must sa ve your file in the \"classic\" mode. Student computers around campus (Engineering, Marriott, Math Department, Heritage Commons ) have Mapl e software installed, and in most places you can find both the earlier and latter versions. The University bookstore sells a student versio n of Maple 12 ($130), which you may wish to purchase at some point, al though it is not at all necessary to do so for Math 2250." }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 618 " When you ope n any of these Maple versions you can find a \"new user's tour\" in a \+ \"help\" window, and we recommend you take this tour to get an overvie w of Maple's capabilities. From then on, you will learn to use Maple \+ the same way you learned to use Microsoft Word, i.e. by using it, usin g the help features, and asking friends, lab assistants, TAs and teach ers when you get stuck. We are also be running Maple introductions se ssions specifically for this course, Math 2250, and you might be in on e of these sections even as you are reading this document. The curren tly scheduled sessions (we may add more) are:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 271 "" 0 "" {TEXT -1 59 "Saturday August 30: PC Lab 1735, in Marriott MMC, 2-3 pm." }}{PARA 272 "" 0 "" {TEXT -1 56 "Tuesday September 2: LCB 115, 11:50-12:40 and 2:30-3:20" }}{PARA 273 "" 0 "" {TEXT -1 45 "Wednesday September 3: LCB 115, 10:45-11:55. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 105 " \+ These sessions are first-come, first-serve, and about 30 people can f it into any particular session." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 218 "The Math 2250 projects can be done in an y of Maple 8, 11, 12, and most instructors will also accept Matlab ver sions of your answers. But, most Math Department support for these pr ojects will assume you're using Maple." }}{PARA 279 "" 0 "" {TEXT -1 140 "................................................................. ...................................................................... ....." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 262 "" 0 "" {TEXT -1 48 "1) Computer Labs on campus, and logging on/off:" }}{PARA 0 "" 0 " " {TEXT -1 53 " There are many labs on campus, follow the link " }{URLLINK 17 "http://www.it.utah.edu/services/connected/labs.html" 4 " http://www.it.utah.edu/services/connected/labs.html" "" }{TEXT -1 396 " . Most of these labs have Maple software, and in most of these labs you log on using your University ID and password, i.e. the same way y ou log on to register for courses, get transcripts, etc. For example, if you are using the MMC labs this is the way you log on to your comp uter. It is generally true that when you log off a student computer o n campus, you should not turn off the computer." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 293 37 "Math account name/passwo rd exception:" }}{PARA 0 "" 0 "" {TEXT -1 145 " One important exce ption to the universality of your uid/password for logging on to campu s computers is the Math Department computer system, " }{URLLINK 17 "ht tp://www.math.utah.edu/ugrad/lab.html" 4 "http://www.math.utah.edu/ugr ad/lab.html" "" }{TEXT -1 552 ". All students taking Math courses are assigned a Math Department login name and initial password that are N OT the same as their UID and University password. The undergraduate w alk-in computer lab is located in the Rushing Math Student Center, loc ated underneath the plaza connecting JWB to LCB. There is also a comp uter classroom in LCB 115, where some introductory tutorials are held. Useful information about most aspects of the lab can be found by foll owing links from the Math Department web pages like the one above, or \+ the precurser directory" }{TEXT 271 2 " " }{URLLINK 17 "http://www.ma th.utah.edu/ugrad" 4 "http://www.math.utah.edu/ugrad" "" }{TEXT 298 2 " ." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 53 " \+ If you're working on the Math Department system " }{TEXT 303 15 "yo ur login name" }{TEXT -1 492 " will be of the form c-azbc, where `az' \+ is first letter- last letter of your last name, and `b',`c' are your f irst, and middle initials, respectively. For example, if your name is Ulysses Attila Eratosthenes, your login name will be c-esua. (Many p eople have the same initials, so to ensure your login name is unique, \+ a digit may be added after the initials, eg. c-esua1, c-esua2, ...). \+ For people with more complex (eg. hyphenated names) only the first c haracter of each name is used. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 10 " Your " }{TEXT 304 16 "initial passwo rd" }{TEXT -1 277 " will be the letters as in the login name, followed by the last four digits of your University ID number (e.g., if your U ID is 123456789 and your login name is c-esua, then your password is e sua6789) or if the login name is c-esua2 the password is still esua678 9). You should " }{TEXT 305 21 "change your password " }{TEXT -1 214 "if it's still the default one. To do so, log in, open a terminal wind ow using a mouse or icon selection (depending on the operating system \+ you've logged on with), then type ``passwd'' (followed by RETURN/ENTER ). " }{TEXT 306 19 "Ask a lab assistant" }{TEXT -1 77 " how to do th is if you're doing this tutorial on your own and are confused. " }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 86 " If y ou previously took a math class and used our system, for example if yo u did \"" }{TEXT 307 8 "webworks" }{TEXT -1 153 "\" homework, then you r old account may still be active, with the last password you used. If all your efforts to log on fail, ask a lab assistant for help." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 95 " Don' t forget to log out when you're done. Never turn off a Math Departmen t computer. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 281 "" 0 "" {TEXT -1 140 "........................................................ ...................................................................... .............." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 257 34 "2) Opening a browser, maple, etc:" }{TEXT -1 4 " " } }{PARA 0 "" 0 "" {TEXT -1 88 " Your browser choice depends on your operating system and personal preferences. We " }{TEXT 308 6 "do not " }{TEXT -1 33 " recommend the Microsoft browser " }{TEXT 309 17 "Inte rnet Explorer" }{TEXT -1 160 ", because when you try the \"Open URL\" \+ option from Maple, in order to download a Maple file from the internet , it doesn't seem to be compatible with Explorer. " }{TEXT 310 7 "Mo zilla" }{TEXT -1 5 " and " }{TEXT 311 7 "Firefox" }{TEXT -1 172 " seem to work well with this option, and with the second way of using Maple files you find on the internet, which is to first download them, and \+ then open them from Maple. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 373 " Maple versions 8, 11, 12 may appear as ic ons on your computer desktop and perhaps the icon will contain a pictu re of a maple leaf. Alternately, you may open Maple with a terminal w indow command or by searching directories. If you're not sure how to f ind and open Maple, ask a lab assistant. In the MMC PC labs the Maple software is in the \"Class Software\" directory." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 283 "" 0 "" {TEXT -1 140 "...................... ...................................................................... ................................................" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 258 11 "3) Maple: " }{TEXT -1 1 " " }}{PARA 0 "" 0 "" {TEXT -1 163 " If you are st arting the tutorial at this point, we assume you have opened Maple ver sion 8, although you may be using Maple 11 or 12, as well as a web bro wser." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 361 " Maple is partly just a very fancy calculator; it can do practica lly any undergraduate mathematics computation or symbolic manipulation . You can write programs in Maple and draw pictures as well. But you \+ can also use it to create documents which mix text with computations, \+ and you can export Maple output to other software to create interestin g documents." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 668 " If you are doing a homework assignment you can interspers e text with computations using the toolbar: to get a computation prom pt click on the ``[>'' box near the top. To insert text click on the \+ ``T'' box. Or you can change command fields (starting with \"[>\") in to text fields by putting the cursor into them and then choosing \"T\" . You can use the mouse to cut, paste, and edit a document. You can \+ change fonts, formats, and use other standard text editing tools by ch oosing appropriate menu items. This document you are reading is a Map le document even though it is largely text. You will learn by doing - and by asking your neighbor or the lab assistant." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 282 27 "New User's Tour and more : " }}{PARA 0 "" 0 "" {TEXT -1 656 " Under the Help button at the top right of your Maple 8 window you will find the choice \"New User' s Tour\". This is a good way to learn generally about what Maple can \+ do. After making this menu choice Maple may hide the beginning of the tour behind other active windows; use the \"Window\" menu item to b ring the tour window to the front. If you wish you can explore now, \+ or you can continue with the Math 2250 notes below and come back to th e tour later. To close the new tour (or any other top window), use th e ``close'' option inside the ``file'' menu item. To keep the tour op en but bring another window to the front, use ``window'' menu item." } }{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 54 " Ano ther good introduction to Maple is located at " }{URLLINK 17 "http://w ww.math.utah.edu/~gardiner/Intro.mws" 4 "" "" }{TEXT -1 370 ". (If yo ur computer is appropriately configured clicking on this hyperlink wil l open your browser and go to the indicated URL. You can then save th e file to your computer, and then open it from Maple if this does not \+ happen automatically.) Alternately, if you have a browser open, you c an open Maple files directly off the internet by using clicking succes sively on " }{TEXT 285 16 "File -> Open URL" }{TEXT -1 132 ", in the \+ Maple menu items at the top of the Maple window, and pasting or typing the desired URL into the dialog box which appears. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 277 25 "Entering Maple comman ds: " }}{PARA 0 "" 0 "" {TEXT -1 518 " To give you a brief taste o f what Maple can do, we will try a few commands. Move your cursor int o the \"Untitled\" (new) Maple window which you created in step (2). \+ Commands begin on lines having a command prompt ``>'', and should be ended with either a semicolon ; or a colon : If you end with a semic olon you will see visible output, if you end with a colon the output w ill be suppressed even though the command is executed. Maple will not execute a command until you type the ``return'' or ``enter'' key. " }{TEXT 259 96 "If you have a multiline command to enter use ``shift-re turn'' to change lines without executing." }{TEXT -1 1 " " }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 701 " If you incor rectly align parentheses or brackets, or do something else which makes your command unexecutable you will get a ``syntax error'' message and Maple will try to point out your mistake with the cursor and cryptic \+ diagnostic phrases. After a while you will become good at fixing thes e mistakes but they can be annoying at first. Spaces are ignored in M aple, so you may use them to make input easier to read. You can enter explanatory comments in a command line by inserting a ``#'' to the le ft of the comments; Maple ignores any text after the #. Sometimes thi s is more informative then entering nearby explanatory text, especiall y if you are explaining various steps in a subroutine." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 225 " Now, let's try \+ some commands. (You may try just the math commands, the editorial comm ents were only added to explain what the particular commands are illus trating ! ) Check that you understand what each command is doing." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 202 "3+4; 4+5: 6 * 7; #one of these computations will not be shown \n #even though all three will be done, illustrating the \n \+ #difference between a semicolon and a colon\n \+ " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 428 "(3+4)7; #if you \+ want to multiply you must use *, so after\n #trying the comma nd as given, insert a * to fix the\n #resulting syntax error. You can execute a line or\n #execution group (bracketed on \+ the left) if\n #your cursor is anywhere in it. You can move t he\n #cursor with the mouse or the arrow keys. Maple will\n \+ #try to put it in a good place if it detects an error." }} {PARA 8 "" 1 "" {TEXT -1 25 "Error, unexpected number\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 290 "(3+4)^2/7; 3+4^2/7; evalf(3+4^2/7) ; #the evalf command gives a \n #decimal approximation inst ead of an algebraic \n #expression. Notice that if given a ch oice, Maple \n #computes powers first, then multiplies and di vides, \n #and finally adds or subtracts." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "diff(x^2,x); #``differentiate x^2 with res pect to x''" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 92 "diff(exp(sin (x))*x^3,x); #a harder differentiation problem\n #you should \+ get output:" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*(-%$cosG6#%\"xG\"\" \"-%$expG6#-%$sinGF'F))F(\"\"$F)F)*(F0F)F*F))F(\"\"#F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 141 "f:= x-> exp(sin(x))*x^3; #this is the syntax for defining a \n #function, in this case the func tion we just \n #differentiated" }}{PARA 11 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "diff(f(x),x); \+ #should get the same answer as before. " }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 126 "int(t^2*exp(t),t); #``integrate (t^2)*exp(t) wit h respect\n #to t'' (Maple doesn't put in the integration con stant.)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 84 "int(t^3*exp(sin( t)),t); #this shows that Maple is not God, you \n #will get " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$intG6$*&)%\"tG\"\"$\"\"\"-%$exp G6#-%$sinG6#F(F*F(" }}}{PARA 11 "" 1 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 " # since if Maple can't find an elementary function \n #antiderivative it just echos what yo u put in. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 167 "evalf(int(t ^3*exp(sin(t)),t=0..1)); #But you could do\n #a definite int egral (numerically) even if Maple\n #can't compute an element ary antiderivative" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 77 "Pi;ex p(1);evalf(Pi);evalf(exp(1));infinity;\n #some important numb ers" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 301 28 " Downloading Maple documents:" }}{PARA 0 "" 0 "" {TEXT -1 142 " Thi s xeroxed tutorial is available online in several formats, if you foll ow the links from Professor Korevaar's 2250-1 Maple homepage at" } {TEXT 300 1 " " }{URLLINK 17 "http://www.math.utah.edu/~korevaar/2250f all08." 4 "http://www.math.utah.edu/~korevaar/2250fall03" "" }{TEXT -1 102 " Files with suffix \".mws\" or \".txt\" can be downloaded fr om your browser and then opened from Maple. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 143 " Alternately, if you know \+ the URL you want, you can use the \"open URL\" file option on most sys tems. Do this now, for this document's URL, " }{URLLINK 17 "http://ww w.math.utah.edu/~korevaar/2250fall08/2250mapleintro.mws" 4 "http://www .math.utah.edu/~korevaar/2250fall08/2250mapleintro.mws" "" }{TEXT -1 155 " . Maple should download and open the document, and now you can \+ follow the tutorial from your computer instead of from your hard copy \+ - so start doing so." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 135 " Sometimes, if you have several windows open Maple \+ will put the wrong one on top. Use the Window menu item to move betwe en windows." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 278 53 "Making new files which mix text, commands and output:" }} {PARA 0 "" 0 "" {TEXT -1 216 " From the \"File\" menu item, create a new worksheet.(It will start out being called Untitled(2).mws or so mething like that. The first time you save this file you can pick any name you want, as long as it ends in " }{TEXT 299 4 ".mws" }{TEXT -1 59 ", for Maple worksheet. (Maple 11-12 files have the suffix ." } {TEXT 312 2 "mw" }{TEXT -1 22 ". You cannot open a ." }{TEXT 313 2 "m w" }{TEXT -1 40 " file from Maple 8, but you can open a ." }{TEXT 314 3 "mws" }{TEXT -1 128 " file from Maple 11-12. To be able to read a f ile you've been working on in Maple 11-12 in Maple 8, make sure to sav e it as a ." }{TEXT 315 3 "mws" }{TEXT -1 62 " file (\"classic\") when working in the higher-numbered version." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 714 " In your new worksheet turn t he command field into a text field by putting your cursor into it, and then using the``T'' menu item. You can usually erase the annoying bra ckets around text fields you create this way, by highlighting them wit h your mouse and then typing the \"delete\" key. Type in the title `` My first Maple worksheet'' (center it with the menu option on the righ t side of the toolbar), as well as your name and today's date. When yo u are doing your Maple projects your instructor may expect you to han d in more than a page of computations: You will likely be expected to \+ add text explanations of what you've been doing. In general, if you m ove your cursor to a command field and the press the " }{TEXT 279 2 "[ >" }{TEXT -1 128 " button with your mouse, Maple makes a new command f ield directly below it. If you move to the new command field and pres s the " }{TEXT 280 1 "T" }{TEXT -1 127 " button you will have a text f ield into which you may write, using the rudimentary word processing t ools on the Maple menu bar." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 195 " Use your mouse to copy the following sequ ence of commands from this worksheet into your new one. Paste into a \+ command field. (Successive lines were entered here without execution \+ by using " }{TEXT 302 12 "shift-return" }{TEXT -1 26 " at the end of e ach line.)" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 277 "restart: #cl ear all current definitions from memory \n #(regardless of wh ich window was open when \n #the definition was made).\nwith( plots): #load plotting library\nplot(x^2,x=-1..1,color=red,title=`my \+ first parabola`);\n #use ` quotes, not ' or \" ones" }}} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 221 " Aft er pasting, execute this command field in you new window. By clicking on the plot you are able to rescale it and avail yourself of various \+ new menu options. You could export this plot to other documents as we ll." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 267 "" 0 "" {TEXT -1 13 " Saving Files:" }}{PARA 0 "" 0 "" {TEXT -1 554 " It is always a goo d idea to save your maple file periodically. Save all of your documen ts - this one, which I called 2250mapleintro.mws (you can change the n ame if you want), as well as your untitled documents. Use the tool bar , using the \"save\" option under the \"File\" menu item. The first ti me you save a new file, and any time you use the \"save as\" option, y ou will be asked to name your file and say where you want to keep it. \+ You name it in the left part of the box, being careful to keep the su ffix \".mws\" so that Maple knows this file is a " }{TEXT 266 1 "M" } {TEXT -1 5 "aple " }{TEXT 267 1 "W" }{TEXT -1 4 "ork " }{TEXT 268 1 "S " }{TEXT -1 107 "heet. If you're working on a PC, you can use the dir ectory structure to save your file whereever you want." }}{PARA 0 "" 0 "" {TEXT -1 2 " " }}{PARA 0 "" 0 "" {TEXT -1 467 " If you are on \+ the Math system, your directory is probably new you likely haven't mad e any subdirectories yet (unix command mkdir, in a local window), but \+ as you create more files you may wish to organize where you save them \+ using the tree structure of Unix directories, which you can follow in the right side of your saving box. You use various UNIX commands in \+ your local or terminal window to organize your directories. For more \+ information about this, go to" }{TEXT 274 1 " " }{URLLINK 17 "http:// www.math.utah.edu/computing/unix/unix-commands.html" 4 "" "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 168 " It will p robably happen some time that you will crash Maple long after your las t save. This will not make you feel happy but will teach you an impor tant lesson. " }}{PARA 0 "" 0 "" {TEXT -1 4 " " }}{PARA 268 "" 0 " " {TEXT -1 9 "Printing:" }}{PARA 0 "" 0 "" {TEXT -1 126 " This dep ends on which system/computer you are working on. Ask a lab assistant for help if you don't know how to do this." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 281 17 "Execution Groups:" }}{PARA 0 " " 0 "" {TEXT -1 366 " You can modify the text and input using the \+ toolbar and menu options. You will notice many brackets on the left o f the document. These are execution groups. Maple will execute every thing in one execution group at once, and then move the cursor to the \+ next execution group. You can create large execution groups by highli ghting sections of a document, using " }{TEXT 263 42 "Edit->Split or J oin->Join Execution Groups" }{TEXT 264 1 "." }{TEXT 290 2 " " }{TEXT -1 252 "You can remove brackets by highlighting them with the mouse an d deleting them with the delete key or the menu option. And you alrea dy learned how to insert new prompts or new text wherever your cursor \+ is, by using the [> and T buttons on your toolbar." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 265 21 "4) Warm- up problems:" }}{PARA 0 "" 0 "" {TEXT -1 256 "If you are in Professor \+ Gustafson's Math 2250-2 section, you will be handing in a warm-up Mapl e project. If your instructor is not requiring that you hand this pro ject in, we still recommend that you do it. Professor Gustafson's Map le page is at the URL " }}{PARA 284 "" 0 "" {URLLINK 17 "http://www.ma th.utah.edu/~gustafso/f2008/2250mapleF2008.html" 4 "http://www.math.ut ah.edu/~gustafso/f2008/2250mapleF2008.html" "" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 478 "and the warm-up project is the first one, enti tled \"maple Lab 1 fall 2008 pdf\". Read this .pdf document from your browser and try create the requested output in a Maple file. You can use Professor Gustafson's hints. Alternately, you can practice using the help windows to find commands related to answering his questions. (You may end up finding the commands he recommends, but if you pract ice finding them on your own you will also be practicing learning how \+ to use Maple.)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 316 7 "Hint: " }{TEXT -1 987 "Students often approach the task \+ of reading mathematical material as if they were reading a novel; they sort of skim along quickly. That approach is O.K. to get an overvie w, but in order to have a chance at real understanding you must be pre pared to proceed much more slowly, sentence by sentence and thought by thought. Otherwise you will almost certainly find yourself partly lo st after several paragraphs and completely lost after several more. ( This might happen anyway.) If you are working properly it can easily \+ take half an hour to read through one page of mathematical text. Thi s takes a certain amount of discipline, patience, and practice. With \+ the Math 2250 computer projects there is the added temptation of ha ving Maple execute commands in successive command sections by repeate dly hitting the enter (return) key, without pausing to digest the in terlaced text or the meaning of the commands. There is a seductive ap peal in having this capability. Resist it." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{MARK "116 0" 175 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 } {PAGENUMBERS 0 1 2 33 1 1 }