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May, S.J. and Russell Blyth" } {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 122 "This worksheet is intended to introduce you to just eno ugh Maple to let you run the Maple worksheets for Linear Algebra. " } {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}}{EXCHG {PARA 218 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 219 "" 0 "" {TEXT 206 19 " Starting and Saving" }{TEXT 206 1 ":" }{TEXT 206 0 "" }}{PARA 217 "" 0 "" {TEXT 207 304 "When you start a prepared worksheet, you should get a warning message that the worksheet is locked and changes cannot be \+ saved. Instead you should choose \"save as\" from the file menu, pick a new name for the worksheet (a name that identifies the worksheet as yours), and save your work. (Do this now.) " }{TEXT 207 0 "" }} {PARA 217 "" 0 "" {TEXT 207 0 "" }}}{EXCHG {PARA 219 "" 0 "" {TEXT 206 19 "Executing sections:" }{TEXT 206 0 "" }}{PARA 217 "" 0 "" {TEXT 207 332 "A Maple worksheet contains executable lines where Maple does mathematics. These lines begin with an input prompt (a \">\") a nd are in red. To execute those sections, place the cursor anywhere i n the command section and hit the \"enter\" or \"return\" key. Maple \+ will execute the code and move the cursor down to the next input secti on." }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 35 "Execute the cod e section below now." }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}}{EXCHG {PARA 218 "> " 0 "" {MPLTEXT 1 0 16 "answer := 1 + 1;" } {MPLTEXT 1 0 0 "" }{MPLTEXT 1 0 8 "\nanswer;" }{MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 217 "" 0 "" {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 110 "Notice that in Maple commands end with a semicolon and values are assigned to a variable with the \":=\" symbol." }{TEXT 207 0 "" }} {PARA 217 "" 0 "" {TEXT 207 0 "" }}}{EXCHG {PARA 219 "" 0 "" {TEXT 206 19 "Typing in commands:" }{TEXT 206 0 "" }}{PARA 217 "" 0 "" {TEXT 207 185 "Since this is a math course, the worksheets you do will have exercises embedded in them. You need to be able to type in your own commands. At the input prompt below, enter the command" }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 18 "myanswer := 1 + 2;" }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 98 "to assign the value of 1+2 \+ to the variable myanswer. (Notice that there is no space in myanswer. )" }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}}{EXCHG {PARA 218 "> " 0 "" {MPLTEXT 1 0 16 "myanswer := 1+2;" }}}{EXCHG {PARA 217 " " 0 "" {TEXT 207 105 "For some of the exercises you need to use a seri es of commands. This raises the two practical questions:" }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}{PARA 220 "" 0 "" {TEXT 205 122 "1) How do you put more than one command line in a section with a \+ single input prompt? (Hitting return executes the line.)" }{TEXT 205 0 "" }}{PARA 220 "" 0 "" {TEXT 205 67 "2) How do you insert more inpu t prompts in the middle a worksheet?" }{TEXT 205 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 8 "Answers:" }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 72 "You continue an input section to a second line by typing a shi ft-return." }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }} {PARA 217 "" 0 "" {TEXT 207 235 "You insert a new input prompt by eith er going to the insert menu, select execution group, after paragraph, \+ or by typing control-J on a PC or command-J on a Mac (The command key \+ is the one labeled with the Apple logo and/or a \"flower\")." }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 27 "Enter the command sequence:" }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 16 "answer1 := 1 +3;" }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 8 "answer1;" }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 191 "on two lines at the single cursor below. Then insert two executi on groups below it (first click somewhere in the first execution group ) and reenter the commands in separate execution groups." }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}}{EXCHG {PARA 218 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 219 "" 0 "" {TEXT 206 12 "Adding tex t:" }{TEXT 206 0 "" }}{PARA 217 "" 0 "" {TEXT 207 257 "When doing math ematics exercises, it is important to answer the question asked, rathe r than simply showing some uninterpreted computations. Thus you need \+ to be able to add explanatory comments to your computations, even if i t is simply, \"The answer is ...\"" }{TEXT 207 0 "" }}{PARA 217 "" 0 " " {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 153 "To add a text sect ion, either insert an execution group and convert it to text with cont rol-t or command-t, or use the insert menu to insert a paragraph." } {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 97 "Annotate your work in the previous section with the comm ent that \"Maple shows us that 1 + 3 = 4\"." }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 324 "An obvio us annotation you want on all worksheets is your name. On all workshe ets after this one, the first thing you should do after opening it is \+ to add a line under the title that gives the name of everyone in the g roup that is working on the worksheet, along with your group name. (A dd your name to this worksheet now.)" }{TEXT 207 0 "" }}}{EXCHG {PARA 218 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 219 "" 0 "" {TEXT 206 20 "Cutting and Pasting:" }{TEXT 206 0 "" }}{PARA 217 "" 0 "" {TEXT 207 206 "Some of the exercises involve using several lines of code tha t duplicate an example with only minor modifications. Obviously you c ould retype everything, but that is not necessary. An easier method i s to " }{TEXT 207 0 "" }}{PARA 221 "" 0 "" {TEXT 204 41 "highlight the material you want to copy, " }{TEXT 204 0 "" }}{PARA 221 "" 0 "" {TEXT 204 92 "copy it with either the copy command from the edit menu \+ or by using control-c or command-c, " }{TEXT 204 0 "" }}{PARA 221 "" 0 "" {TEXT 204 55 "move the cursor to where you want the material place d, " }{TEXT 204 0 "" }}{PARA 221 "" 0 "" {TEXT 204 107 "paste the mate rial in with either the paste command from the edit menu or by using c ontrol-v or command-v, " }{TEXT 204 0 "" }}{PARA 221 "" 0 "" {TEXT 204 58 "edit the pasted commands to what you need for the exercise" } {TEXT 204 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 135 "Copy the two command line section that assigns a value \+ to answer1 above. Paste it in below and modify it to assign a value t o answer2." }{TEXT 207 0 "" }}}{EXCHG {PARA 218 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 219 "" 0 "" {TEXT 206 23 "Loading extra package s:" }{TEXT 206 0 "" }}{PARA 217 "" 0 "" {TEXT 207 268 "Much of the wor k we do uses special commands that are in a number of special add-on p ackages of commands. In particular, we will want to load packages wit h commands for linear algebra, and for plotting. Thus the first execu tion group of our worksheets will often be:" }{TEXT 207 0 "" }}{PARA 217 "" 0 "" {TEXT 207 0 "" }}}{EXCHG {PARA 218 "> " 0 "" {MPLTEXT 1 0 50 "with(LinearAlgebra): with(plottools): with(plots):" }}}{EXCHG {PARA 222 "" 0 "" {TEXT 201 547 "Make sure you execute this group befo re moving on in any worksheet. Execute the group above. Note that comm ands terminated with a colon have suppressed output (except for warnin gs), which is useful for when the output is not all that useful. If yo u change any or all of the colons to semicolons above and re-execute t he group you will see in the output a list of commands provided by the package. Since the worksheets provide examples of the commands you wi ll need to use it is generally not useful to see these commands listed in every worksheet." }}{PARA 222 "" 0 "" {TEXT 201 0 "" }}}{EXCHG {PARA 219 "" 0 "" {TEXT 206 22 "Reloading a worksheet:" }{TEXT 206 0 " " }}{PARA 217 "" 0 "" {TEXT 207 519 "Some of the worksheets will be do ne in class, but they are generally designed to be long enough that yo u will have to complete them after class. When you reopen a worksheet , you should be aware that Maple will only remember what you have done during that new Maple session instead of what you did while working p reviously on the worksheet. Thus you will need to re-execute sections that define quantities and terms you are using. In particular, you s hould start by re-executing the line that loads in extra packages." } {TEXT 207 0 "" }}}{EXCHG {PARA 218 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 219 "" 0 "" {TEXT 206 20 "Saving and printing:" }{TEXT 206 0 "" }}{PARA 217 "" 0 "" {TEXT 207 341 "It is generally a good ide a to save your work at least every 10 minutes. (Machines/programs cra sh at the most inconvenient times. People who work with computers lea rn that \"Murphy was an optimist\".) The last thing you want to do wi th a worksheet is to save it to disk and then to print a copy so that \+ you can turn it in. (Do this now.) " }{TEXT 207 0 "" }}}{EXCHG {PARA 218 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 223 "" 0 "" {TEXT 203 0 "" }}{PARA 224 "" 0 "" {TEXT 210 0 "" }}{PARA 225 "" 0 "" {TEXT -1 0 "" }}}{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 15 10 1804 1 1 1 1 } {PAGENUMBERS 0 1 2 33 1 1 }