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"Times" 1 12 0 128 128 1 2 2 1 2 2 2 0 0 0 1 }{PSTYLE "_pstyle7" -1 225 1 {CSTYLE " " -1 -1 "" 0 1 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }} {SECT 0 {PARA 219 "" 0 "" {TEXT 262 0 "" }}{PARA 219 "" 0 "" {TEXT 262 9 "Math 2250" }{TEXT 262 0 "" }}{PARA 219 "" 0 "" {TEXT 262 21 "In troduction to Maple" }{TEXT 262 0 "" }}{PARA 219 "" 0 "" {TEXT 262 9 " Fall 2009" }{TEXT 262 0 "" }}{PARA 219 "" 0 "" {TEXT 262 0 "" }}{PARA 220 "" 0 "" {TEXT 262 287 " This document is an introduction to Mapl e for Math 2250 students who may not have done previous work with this software, or who may just want to brush up on their skills. An on-li ne version of this tutorial, without Maple output, is to be found at h ttp://www.math.utah.edu/~korevaar " }{TEXT 262 0 "" }}{PARA 220 "" 0 " " {TEXT 262 0 "" }}{PARA 221 "" 0 "" {TEXT 263 179 " These notes we re created using the software package Maple in order to introduce you \+ to Maple, but also to show you the kinds of documents you will be able to create yourself. " }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 224 "Although this software has been produced by a private company sin ce 1988, it originated with Canadian government support at the Univers ity of Waterloo; the originators used the leaf on the Canadian flag to motivate the name " }{TEXT 264 5 "Maple" }{TEXT 263 1 "." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 730 " You will be using Maple in Math 2250, in order to solve prob lems and do computer projects. You should think of this software as a nalgous to the service provided by Microsoft Word as a tool for writin g papers - except Maple lets you create documents which combine text a nd mathematics. Alternately, you may use Maple to generate mathematic al output, which you can then export to other documents. That is clos er to how engineers use the numerical laboratory Matlab, which is desi gned for extremely large numerical computations, but lacks Maple's abi lity to create text documents and to easily do symbolic mathematical w ork. Your specific assignments and required formats will depend on yo ur particular Math 2250 instructor." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 402 " We recommend Maple 13 in Math 2250. The previous recommended version was Maple 12, and there are many online Maple 8 to 12 examples. The main advantage of these latter versions is that they include more Microsoft Word typ e bells and whistles. Any Maple 8 document should open in Maple 9.5 t o 13. If you are using newer Maple versions and you expect to reopen y our document in Maple 8, then use " }{TEXT 263 1 " " }{TEXT 264 4 ".m ws" }{TEXT 263 1 " " }{TEXT 263 715 "for the file extension . Student computers around campus (Engineering, Marriott, Math Department, Heri tage Commons ) have Maple software installed, and in most places you c an find both the earlier and latter versions. The University bookstor e sells a student version of Maple 13 for OS/X, linux and MS-windows. \+ Maplesoft offers a student version of this package at substantial disc ounts. Browse the maplesoft site and also local computing sites at Uta h for current information. There is no course requirement to buy maple , because the software is provided campus-wide by a site license. Spri ng 2009, there was an offer for maple 12 from Waterloo maple at a cost of $50. It might be repeated this year. Please ask!" }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 102 " When you open any of these Maple versions you can find a new user 's tour in a help window (enter " }{TEXT 264 8 "?newuser" }{TEXT 263 70 " to launch it). This tour gives an overview of Maple's capabilitie s. " }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 220 "The tour is e nough information to begin learning Maple the same way you learned to \+ use Microsoft Word, i.e. by using it, using the help features, and ask ing friends, lab assistants, TAs and teachers when you get stuck. " } {TEXT 263 182 "In Maple 12, there is an additional Tour of Maple on th e help menu, especially useful for learning about new features, progra mming examples, conversion of maple code to matlab code. " }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 397 " We will also be running Maple introductions sessions specifi cally for this course, Math 2250, and you might be in one of these ses sions even as you are reading this document. Students who know matlab or mathematica should not attend these sessions, but instead visit an online tutorial for maple. Ask your instructor for online tutorial li nks, like the rookie tutorial at Indiana University " }{TEXT 264 69 "h ttp://www.indiana.edu/~statmath/math/maple/gettingstarted/index.html" }{TEXT 263 2 ". " }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" } }{PARA 221 "" 0 "" {TEXT 263 55 "The currently scheduled sessions (we \+ may add more) are:" }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 219 "" 0 "" {TEXT 262 53 "Saturday XXX: PCLab 1735, in Marri ott MMC, 2-3 pm." }{TEXT 262 0 "" }}{PARA 219 "" 0 "" {TEXT 262 48 " Tuesday XXX: LCB 115, 11:50-12:40 and 2:30-3:20" }{TEXT 262 0 "" }} {PARA 219 "" 0 "" {TEXT 262 37 "Wednesday XXX: LCB 115, 10:45-11:55." }{TEXT 262 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 " " {TEXT 263 191 " These sessions are first-come, first-serve, and \+ about 30 people can fit into any particular session. Every session is \+ identical - there is no advantage to repeating the LCB 115 tutorial." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 225 "The Math 2250 projects can be done in any of Maple ver sions 8 to 13. Math Department support for these projects will assume you're using Maple. Additional language support, such as matlab, is a t the option of the instructor." }{TEXT 263 0 "" }}{PARA 219 "" 0 "" {TEXT 262 140 "....................................................... ...................................................................... ..............." }{TEXT 262 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }} {PARA 220 "" 0 "" {TEXT 262 48 "1) Computer Labs on campus, and loggi ng on/off:" }{TEXT 262 0 "" }}{PARA 221 "" 0 "" {TEXT 263 62 " The re are many computer labs on campus, follow the link " }{HYPERLNK 265 "http://www.it.utah.edu/services/connected/labs.html" 4 "www.it.ut ah.edu/services/connected/labs.html" "" }{TEXT 263 396 " . Most compu ter labs have Maple software, and in most of these labs you log on usi ng your University ID and password, i.e. the same way you log on to re gister for courses, get transcripts, etc. For example, if you are usi ng the MMC labs this is the way you log on to your computer. It is ge nerally true that when you log off a student computer on campus, you s hould not turn off the computer." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 220 "" 0 "" {TEXT 262 37 "Math account name/pas sword exception:" }{TEXT 262 0 "" }}{PARA 221 "" 0 "" {TEXT 263 145 " \+ One important exception to the universality of your uid/password f or logging on to campus computers is the Math Department computer syst em, " }{HYPERLNK 265 "http://www.math.utah.edu/ugrad/lab.html" 4 "www. math.utah.edu/ugrad/lab.html" "" }{TEXT 263 552 ". All students takin g Math courses are assigned a Math Department login name and initial p assword that are NOT the same as their UID and University password. T he undergraduate walk-in computer lab is located in the Rushing Math S tudent Center, located underneath the plaza connecting JWB to LCB. Th ere is also a computer classroom in LCB 115, where some introductory t utorials are held. Useful information about most aspects of the lab ca n be found by following links from the Math Department web pages like \+ the one above, or the precurser directory" }{TEXT 264 2 " " } {HYPERLNK 265 "http://www.math.utah.edu/ugrad" 4 "www.math.utah.edu/ug rad" "" }{TEXT 264 2 " ." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 53 " If you're working on t he Math Department system " }{TEXT 264 15 "your login name" }{TEXT 263 492 " will be of the form c-azbc, where `az' is first letter- last letter of your last name, and `b',`c' are your first, and middle init ials, respectively. For example, if your name is Ulysses Attila Erato sthenes, your login name will be c-esua. (Many people have the same i nitials, 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 character of each name is used. " }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }} {PARA 221 "" 0 "" {TEXT 263 10 " Your " }{TEXT 264 16 "initial pas sword" }{TEXT 263 277 " will be the letters as in the login name, foll owed by the last four digits of your University ID number (e.g., if yo ur UID is 123456789 and your login name is c-esua, then your password \+ is esua6789) or if the login name is c-esua2 the password is still esu a6789). You should " }{TEXT 264 21 "change your password " }{TEXT 263 214 "if it's still the default one. To do so, log in, open a termi nal window using a mouse or icon selection (depending on the operating system you've logged on with), then type ``passwd'' (followed by RETU RN/ENTER). " }{TEXT 264 19 "Ask a lab assistant" }{TEXT 263 77 " how to do this if you're doing this tutorial on your own and are confused . " }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 86 " If you previously took a math class and used \+ our system, for example if you did \"" }{TEXT 264 8 "webworks" }{TEXT 263 153 "\" homework, then your 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." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 95 " Don't forget to log ou t when you're done. Never turn off a Math Department computer. " }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 219 "" 0 "" {TEXT 262 140 "...................................................... ...................................................................... ................" }{TEXT 262 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" } }{PARA 221 "" 0 "" {TEXT 264 34 "2) Opening a browser, maple, etc:" } {TEXT 263 4 " " }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 86 " \+ Your browser choice depends on your operating system and personal \+ preferences. T" }{TEXT 263 21 "he Microsoft browser " }{TEXT 264 18 " Internet Explorer " }{TEXT 263 36 "delivers surprises when you try the " }{TEXT 264 9 "Open URL " }{TEXT 263 34 "option from the Maple file \+ menu. " }{TEXT 264 7 "Mozilla" }{TEXT 263 1 " " }{TEXT 264 7 "Firefox " }{TEXT 263 21 " has worked with the " }{TEXT 264 8 "Open URL" } {TEXT 263 167 " option. There is a second way to use Maple files that \+ you find on the internet, which is to download them to local disk, and then open them from the Maple file menu. " }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 204 " Map le versions 8 to 13 may appear as icons on your computer desktop and p erhaps the icon will contain a picture of a maple leaf. Alternately, \+ you may open Maple with a terminal window command (unix " }{TEXT 263 7 "command" }{TEXT 263 1 " " }{TEXT 264 7 "xmaple&" }{TEXT 263 6 " or " }{TEXT 264 11 "xmaple -cw&" }{TEXT 263 176 ") or by searching dire ctories. If you're not sure how to find and open Maple, ask a lab assi stant. In the MMC PC labs, the Maple software is in the \"Class Softw are\" directory." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" } }{PARA 219 "" 0 "" {TEXT 262 140 ".................................... ...................................................................... .................................." }{TEXT 262 0 "" }}{PARA 221 "" 0 " " {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 264 11 "3) Maple: " } {TEXT 263 1 " " }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 128 " \+ If you are starting the tutorial at this point, we assume you have o pened Maple version 12 or 13, as well as a web browser." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 361 " Maple is partly just a very fancy calculator; it can do prac tically any undergraduate mathematics computation or symbolic manipula tion. You can write programs in Maple and draw pictures as well. But \+ you can also use it to create documents which mix text with computatio ns, and you can export Maple output to other software to create intere sting documents." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" } }{PARA 221 "" 0 "" {TEXT 263 668 " If you are doing a homework ass ignment you can intersperse text with computations using the toolbar: \+ to get a computation prompt click on the ``[>'' box near the top. To insert text click on the ``T'' box. Or you can change command fields (starting with \"[>\") into text fields by putting the cursor into th em and then choosing \"T\". You can use the mouse to cut, paste, and \+ edit a document. You can change fonts, formats, and use other standar d text editing tools by choosing appropriate menu items. This documen t you are reading is a Maple document even though it is largely text. \+ You will learn by doing - and by asking your neighbor or the lab assi stant." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 220 "" 0 "" {TEXT 262 27 "New User's Tour and more: " }{TEXT 262 0 "" }}{PARA 221 "" 0 "" {TEXT 263 298 " Under the Help menu at the to p right of your Maple 13 window you will find the choice \"Take a Tour of Maple\". This is a good way to learn generally about what Maple c an do. If you wish you can explore now, or you can continue with the \+ Math 2250 notes below and come back to the tour later. " }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 54 " Another good introduction to Maple is located at " } {HYPERLNK 265 "http://www.math.utah.edu/~gardiner/Intro.mws" 4 "" "" } {TEXT 263 370 ". (If your computer is appropriately configured clicki ng on this hyperlink will open your browser and go to the indicated UR L. You can then save the file to your computer, and then open it from Maple if this does not happen automatically.) Alternately, if you ha ve a browser open, you can open Maple files directly off the internet \+ by using clicking successively on " }{TEXT 264 16 "File -> Open URL" }{TEXT 263 132 ", in the Maple menu items at the top of the Maple wind ow, and pasting or typing the desired URL into the dialog box which ap pears. " }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 220 "" 0 "" {TEXT 262 25 "Entering Maple commands: " }{TEXT 262 0 "" } }{PARA 221 "" 0 "" {TEXT 263 527 " To give you a brief taste of wh at Maple can do, we will try a few commands. Move your cursor into th e \"Untitled\" (new) Maple window which was created by Maple in step ( 2). Commands begin on lines having a command prompt ``>'', and shou ld be ended with either a semicolon ; or a colon : If you end with a \+ semicolon you will see visible output, if you end with a colon the out put will be suppressed even though the command is executed. Maple wil l not execute a command until you type the ``return'' or ``enter'' key . " }{TEXT 264 96 "If you have a multiline command to enter use ``shi ft-return'' to change lines without executing." }{TEXT 263 1 " " } {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 698 " If you incorrectly align parentheses or brackets, \+ or do something else which makes your command unexecutable you will ge t a ``syntax error'' message and Maple will try to point out your mist ake with the cursor and cryptic diagnostic phrases. After a while you will become good at fixing these mistakes but they can be annoying at first. Spaces are ignored in Maple, so you may use them to make inpu t easier to read. You can enter explanatory comments in a command lin e by inserting a ``#'' to the left of the comments; Maple ignores any \+ text after the #. Sometimes this is more informative than adding expl anatory text later, especially if you are explaining various steps in \+ a subroutine." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }} {PARA 221 "" 0 "" {TEXT 263 225 " Now, let's try some commands. (Yo u may try just the math commands, the editorial comments were only add ed to explain what the particular commands are illustrating ! ) Check that you understand what each command is doing." }{TEXT 263 0 "" }} {PARA 221 "" 0 "" {TEXT 263 0 "" }}{EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 266 65 "3+4; 4+5: 6 * 7; #one of these computations wil l not be shown" }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 65 "\n # even though all three will be done, illustrating the " }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 54 "\n #difference between a semicol on and a colon" }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 18 "\n \+ " }{MPLTEXT 1 266 0 "" }}}{EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 266 63 "(3+4)7; #if you want to multiply you must use *, so afte r" }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 62 "\n #trying the co mmand as given, insert a * to fix the" }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 62 "\n #resulting syntax error. You can execute a line or" }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 54 "\n #execution g roup (bracketed on the left) if" }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 59 "\n #your cursor is anywhere in it. You can move the" } {MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 63 "\n #cursor with the m ouse or the arrow keys. Maple will" }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 65 "\n #try to put it in a good place if it detects an er ror." }{MPLTEXT 1 266 0 "" }}}{EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 266 65 "(3+4)^2/7; 3+4^2/7; evalf(3+4^2/7); #the evalf command gives a " }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 58 "\n #decimal app roximation instead of an algebraic " }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 61 "\n #expression. Notice that if given a choice, Maple \+ " }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 64 "\n #computes power s first, then multiplies and divides, " }{MPLTEXT 1 266 0 "" } {MPLTEXT 1 266 42 "\n #and finally adds or subtracts." } {MPLTEXT 1 266 0 "" }}}{EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 266 54 "d iff(x^2,x); #``differentiate x^2 with respect to x''" }{MPLTEXT 1 266 0 "" }}}{EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 266 59 "diff(exp(sin (x))*x^3,x); #a harder differentiation problem" }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 33 "\n #you should get output:" }{MPLTEXT 1 266 0 "" }}}{EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 266 61 "f:= x-> exp( sin(x))*x^3; #this is the syntax for defining a " }{MPLTEXT 1 266 0 " " }{MPLTEXT 1 266 55 "\n #function, in this case the function \+ we just " }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 25 "\n #differe ntiated" }{MPLTEXT 1 266 0 "" }}}{EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 266 62 "diff(f(x),x); #should get the same answer as before. " }{MPLTEXT 1 266 0 "" }}}{EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 266 59 "int(t^2*exp(t),t); #``integrate (t^2)*exp(t) with respect" } {MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 67 "\n #to t'' (Maple doe sn't put in the integration constant.)" }{MPLTEXT 1 266 0 "" }}} {EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 266 67 "int(t^3*exp(sin(t)),t); \+ #Maple echos unsolvable integrals, so you " }{MPLTEXT 1 266 0 "" } {MPLTEXT 1 266 20 "\n #will get" }{MPLTEXT 1 266 0 "" }}} {PARA 223 "" 0 "" {TEXT 267 0 "" }}{EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 266 60 " # because Maple can't find an elementary \+ function " }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 29 "\n #antid erivative. " }{MPLTEXT 1 266 0 "" }}}{EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 266 58 "evalf(int(t^3*exp(sin(t)),t=0..1)); #But you can e valuate" }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 57 "\n #a defin ite integral numerically even if Maple" }{MPLTEXT 1 266 0 "" } {MPLTEXT 1 266 63 "\n #can't compute an elementary function a ntiderivative" }{MPLTEXT 1 266 0 "" }}}{EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 266 43 "Pi;exp(1);evalf(Pi);evalf(exp(1));infinity;" } {MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 58 "\n #Some important co nstants. Case is significant!" }{MPLTEXT 1 266 0 "" }}}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 220 "" 0 "" {TEXT 262 28 "Downloading Maple \+ documents:" }{TEXT 262 0 "" }}{PARA 221 "" 0 "" {TEXT 263 142 " Th is xeroxed tutorial is available online in several formats, if you fol low the links from Professor Korevaar's 2250-1 Maple homepage at" } {TEXT 268 1 " " }{HYPERLNK 265 "http://www.math.utah.edu/~korevaar/225 0fall08." 4 "www.math.utah.edu/~korevaar/2250fall03" "" }{TEXT 263 139 " Files with suffix \".mws\" or \".txt\" can be downloaded from \+ your browser and then opened from Maple (try RIGHT CLICK to get a dial og box)." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 143 " Alternately, if you know the URL you w ant, you can use the \"open URL\" file option on most systems. Do thi s now, for this document's URL, " }{HYPERLNK 265 "http://www.math.utah .edu/~korevaar/2250fall08/2250mapleintro.mws" 4 "www.math.utah.edu/~ko revaar/2250fall08/2250mapleintro.mws" "" }{TEXT 263 155 " . Maple sho uld download and open the document, and now you can follow the tutoria l from your computer instead of from your hard copy - so start doing s o." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 95 " Sometimes, if you have several windows open, Ma ple will put the wrong one on top. Use the " }{TEXT 264 6 "Window" } {TEXT 263 43 " menu item to move between windows or else " }{TEXT 264 16 "click on the tab" }{TEXT 263 4 " for" }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 49 "the window, located two lines below the menu bar ." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 220 "" 0 "" {TEXT 262 53 "Making new files which mix text, commands and output :" }{TEXT 262 0 "" }}{PARA 221 "" 0 "" {TEXT 263 14 " From the " } {TEXT 264 4 "File" }{TEXT 263 15 " menu , choose " }{TEXT 264 14 "Work sheet Mode" }{TEXT 263 113 " (called Untitled(2) or similar). The fir st time you save this file you can define the file name. Choose suffix " }{TEXT 264 4 ".mws" }{TEXT 263 99 " for saving a Maple Worksheet fo r use in Maple 8 to 13. Maple 9.5 to 13 files have default suffix ." } {TEXT 264 2 "mw" }{TEXT 263 22 ". You cannot open a ." }{TEXT 264 2 " mw" }{TEXT 263 40 " file from Maple 8, but you can open a ." }{TEXT 264 3 "mws" }{TEXT 263 94 " file from Maple 8 to 13. There are backwa rd compatibility issues for worksheets with suffix " }{TEXT 264 5 ".mw , " }{TEXT 263 134 "because of new features added to newer versions of maple. You may not be able to fully load a file created in Maple 13 i nto Maple 9.5." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }} {PARA 221 "" 0 "" {TEXT 263 714 " In your new worksheet turn the c ommand field into a text field by putting your cursor into it, and the n using the``T'' menu item. You can usually erase the annoying bracket s around text fields you create this way, by highlighting them with yo ur mouse and then typing the \"delete\" key. Type in the title ``My f irst Maple worksheet'' (center it with the menu option on the right si de of the toolbar), as well as your name and today's date. When you ar e doing your Maple projects your instructor may expect you to hand 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 move \+ your cursor to a command field and the press the " }{TEXT 264 2 "[>" } {TEXT 263 128 " button with your mouse, Maple makes a new command fiel d directly below it. If you move to the new command field and press t he " }{TEXT 264 1 "T" }{TEXT 263 127 " button you will have a text fie ld into which you may write, using the rudimentary word processing too ls on the Maple menu bar." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 194 " Use your mouse to cop y the following sequence of commands from this worksheet into your new one. Paste into a command field. Successive lines were entered here without execution by using " }{TEXT 264 12 "shift-return" }{TEXT 263 25 " at the end of each line." }{TEXT 263 0 "" }}{EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 266 54 "restart: #clear all current definitions from memory, " }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 53 "\n #regar dless of which window was open when " }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 36 "\n #the definition was made." }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 7 "\nopts:=" }{MPLTEXT 1 266 64 "color=red,title=\"my \+ first parabola\": # Replace \" by ` in maple8." }{MPLTEXT 1 266 0 "" } {MPLTEXT 1 266 24 "\nplot(x^2,x=-1..1,opts);" }{MPLTEXT 1 266 0 "" } {MPLTEXT 1 266 11 "\n " }{MPLTEXT 1 266 0 "" }}}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 221 " After past ing, 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 men u options. You could export this plot to other documents as well." } {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 220 "" 0 "" {TEXT 262 13 "Saving Files:" }{TEXT 262 0 "" }}{PARA 221 "" 0 "" {TEXT 263 234 " It is always a good idea to save your maple file p eriodically. Save all of your documents - this one, which I called 22 50mapleintro.mws (you can change the name if you want), as well as you r untitled documents. Use the tool bar " }{TEXT 264 4 "File" }{TEXT 263 6 " menu " }{TEXT 264 5 "Save " }{TEXT 263 69 "option. The first t ime you save a new file, and any time you use the " }{TEXT 264 8 "Save As " }{TEXT 263 155 "option, you will be asked to name your file and \+ say where you want to keep it. You name it in the left part of the bo x, being careful to keep the suffix " }{TEXT 264 4 ".mws" }{TEXT 263 37 " so that Maple saves this file is a " }{TEXT 264 1 "M" }{TEXT 263 5 "aple " }{TEXT 264 1 "W" }{TEXT 263 4 "ork " }{TEXT 264 1 "S" } {TEXT 263 126 "heet valid for versions 8 to 13. Use the directory str ucture on your computer system to save your file in a special location ." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 2 " " }{TEXT 263 0 " " }}{PARA 221 "" 0 "" {TEXT 263 323 " If you are on the Math system, then your directory likely has no subdirectories created yet (unix co mmand mkdir, in a local window), but as you create more files you may \+ wish to organize them using the tree structure of Unix directories, w hich you can follow in the dialog box. For more information about th is, go to" }{TEXT 268 1 " " }{HYPERLNK 265 "http://www.math.utah.edu/ computing/unix/unix-commands.html" 4 "" "" }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 30 " The \+ default setup on the " }{TEXT 264 5 "Tools" }{TEXT 263 125 " menu save s files every 3 minutes. Change this calm your nerves, then learn how \+ to recover your typing effort after a crash. " }{TEXT 264 6 "Lesson" } {TEXT 263 66 ": Maple will eventually crash. Be prepared to deal with \+ the event." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 4 " " } {TEXT 263 0 "" }}{PARA 220 "" 0 "" {TEXT 262 9 "Printing:" }{TEXT 262 0 "" }}{PARA 221 "" 0 "" {TEXT 263 126 " This depends on which sys tem/computer you are working on. Ask a lab assistant for help if you \+ don't know how to do this." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 220 "" 0 "" {TEXT 262 17 "Execution Groups:" }{TEXT 262 0 "" }}{PARA 221 "" 0 "" {TEXT 263 366 " You can modify the te xt and input using the toolbar and menu options. You will notice many brackets on the left of the document. These are execution groups. M aple will execute everything in one execution group at once, and then \+ move the cursor to the next execution group. You can create large exe cution groups by highlighting sections of a document, using " }{TEXT 264 42 "Edit->Split or Join->Join Execution Groups" }{TEXT 263 1 "." } {TEXT 264 2 " " }{TEXT 263 252 "You can remove brackets by highlighti ng them with the mouse and deleting them with the delete key or the me nu option. And you already learned how to insert new prompts or new t ext wherever your cursor is, by using the [> and T buttons on your too lbar." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{EXCHG {PARA 222 "> " 0 "" {MPLTEXT 1 266 56 "# A pound sign starts a comment , which ends with RETURN." }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 41 "\n # Continue a comment using SHIFT-RETURN." }{MPLTEXT 1 266 0 "" } {MPLTEXT 1 266 1 "\n" }{MPLTEXT 1 266 22 "\nplot(sin(x),x=0..Pi):" } {MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 2 "\n " }{MPLTEXT 1 266 0 "" } {MPLTEXT 1 266 79 "\n# Click anywhere in the group, press RETURN to ex ecute all lines of the group." }{MPLTEXT 1 266 0 "" }{MPLTEXT 1 266 61 "\n# End of the execution group (left-bracket scope ends here)." } {MPLTEXT 1 266 0 "" }}}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 220 "" 0 "" {TEXT 262 21 "4) Warm-up problems:" }{TEXT 262 0 "" }}{PARA 221 "" 0 "" {TEXT 263 284 "If you are in Professor Gustafson's 2250 se ction, you will be handing in a first Maple project, considered a warm -up project. Other instructors may not require that you hand this war m-up project, but we still recommend that you do it. Professor Gustaf son's Maple page is at the URL " }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 224 "" 0 "" {HYPERLNK 265 "http://www.math.utah .edu/~gustafso/s2009/2250mapleF2009.html" 4 "www.math.utah.edu/~gustaf so/s2009/2250mapleF2009.html" "" }{TEXT 269 1 " " }}{PARA 219 "" 0 "" {TEXT 262 0 "" }}{PARA 221 "" 0 "" {TEXT 263 51 "and the warm-up proje ct is the first one, entitled " }{TEXT 264 17 "Maple Lab 1 F2009" } {TEXT 263 410 ". Read this pdf document from your browser while tryin g to create the requested output in a Maple window. You can use the p rovided hints. Alternately, you can practice using the help windows t o find commands related to answering the warm-up questions. You may e nd up finding the recommended commands, but if you practice finding th em on your own, then you will also be practicing learning how to use M aple." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 264 7 "Hint: " }{TEXT 263 990 "Students often approach \+ the task of reading mathematical material as if they were reading a no vel; they sort of skim along quickly. That approach is O.K. to get a n overview, but in order to have a chance at real understanding you mu st be prepared to proceed much more slowly, sentence by sentence and t hought by thought. Otherwise you will almost certainly find yourself \+ partly lost after several paragraphs and completely lost after several more. (This might happen anyway.) If you are working properly it ca n easily take half an hour to read through one page of mathematical t ext. This takes a certain amount of discipline, patience, and practic e. With the Math 2250 computer projects there is the added temptat ion of having Maple execute commands in successive command sections by repeatedly hitting the enter key (return key), without pausing to d igest the interlaced text or the meaning of the commands. There is a \+ seductive appeal in having this capability. Resist it." }{TEXT 263 0 "" }}{PARA 221 "" 0 "" {TEXT 263 0 "" }}{PARA 225 "" 0 "" {TEXT -1 0 "" }}}{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 } {PAGENUMBERS 0 1 2 33 1 1 }