{VERSION 4 0 "APPLE_PPC_MAC" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 261 "" 0 1 255 0 0 1 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 0 1 255 0 0 1 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 266 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 269 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 271 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 272 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 274 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 275 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 276 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 277 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 278 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 279 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 280 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 281 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 282 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 283 "" 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 284 "" 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 285 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 286 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 287 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 288 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 289 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 290 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 291 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 292 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 293 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 294 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 295 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 296 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 297 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 298 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 299 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 300 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 301 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal " -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 2 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Outpu t" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 } 3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Bullet Item" -1 15 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 3 3 1 0 1 0 2 2 15 2 }{PSTYLE "Title" -1 18 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 1 2 2 2 1 1 1 1 }3 1 0 0 12 12 1 0 1 0 2 2 19 1 }{PSTYLE "Author" -1 19 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 8 8 1 0 1 0 2 2 0 1 }} {SECT 0 {PARA 18 "" 0 "" {TEXT -1 12 "Introduction" }}{PARA 19 "" 0 " " {TEXT -1 28 "Dr. Saccone, Revised 1/18/01" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 25 "Maple is a very powerful " } {TEXT 264 28 "Symbolic Computation System " }{TEXT -1 3 "or " }{TEXT 265 25 "Computer Algebra System. " }{TEXT -1 382 "One of the dangers o f a mathematics professor introducing such a resource into a mathemati cs course is simply getting carried away. My first instinct was to int roduce the student to the many capabilities of this program and foresh adow things to come. Instead, I will try to keep this introduction as \+ gentle as possible. We will do more advanced things with Maple as the \+ need arises." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 32 "The following is an example of " }{TEXT 256 12 "Maple Input " }{TEXT -1 12 "followed by " }{TEXT 257 13 "Maple Output." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "1+2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 34 "Note some of the \+ features of this " }{TEXT 258 16 "Maple worksheet." }}{PARA 15 "" 0 " " {TEXT -1 45 "Maple commands are (usually) preceded by the " }{TEXT 259 19 "command prompt \">\"." }}{PARA 15 "" 0 "" {TEXT -1 29 "Maple c ommands appear inside " }{TEXT 260 17 "execution groups " }{TEXT -1 38 "that are grouped within left brackets." }}{PARA 15 "" 0 "" {TEXT -1 18 "Maple Input is in " }{TEXT 261 3 "red" }{TEXT -1 1 " " }{TEXT 262 5 "text " }{TEXT 283 5 "on a " }{TEXT 284 13 "command line." }} {PARA 15 "" 0 "" {TEXT -1 142 "The Maple Input is followed by a semico lon. This is necessary, an error message will occur if there is not so me kind of termination character." }}{PARA 15 "" 0 "" {TEXT -1 19 "Map le Output is in " }{TEXT 263 9 "blue text" }{TEXT -1 1 "." }}{PARA 15 "" 0 "" {TEXT -1 223 "There is some text in this document that is not \+ Maple Input nor Maple Output, such as the text you are reading now and the document title above. Such text is used to provide comments about what is going on in the worksheet." }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{PARA 0 "" 0 "" {TEXT -1 81 "The next execution group is not followed by Maple Output. That will be up to you." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "20*5;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{PARA 0 "" 0 "" {TEXT -1 12 "In order to " }{TEXT 266 8 "execute " } {TEXT -1 432 "this input you must use your mouse to put the cursor on \+ the line containing the Maple Input, in this case 20*5 (which is multi plicaiton) and hit Enter (or Return). Maple performs the calculation a nd the output occurs. The next location of the cursor depends on the w ay the worksheet is set up. If there is another command line below Map le will proceed to that command line. Otherwise Maple may provide you \+ with another command line." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 267 124 "Have Maple do some calculations for you. To do \+ this, open a new worksheet to be used for scratch work. Do this by sel ecting " }{TEXT -1 4 "New " }{TEXT 285 9 "from the " }{TEXT -1 4 "File " }{TEXT 288 171 " menu. Your worksheet should begin with a command li ne. Try entering some expressions like the one above. If you want to a rrange the two windows next to each other select " }{TEXT -1 9 "Vertic al " }{TEXT 286 9 "from the " }{TEXT -1 7 "Window " }{TEXT 287 5 "menu ." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 358 "Fro m now on when you encounter command lines in these worksheets you are \+ expected to execute them by clicking on them and hitting enter. You mu st execute the command lines in order from top to bottom otherwise you may not produce the correct results. There are some command lines tha t have already been executes. If so, they will be followed by Maple ou tput." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 80 " If you prefer to execute all the comand lines in Maple worksheet you m ay select " }{TEXT 299 10 "Worksheet " }{TEXT -1 9 "from the " }{TEXT 300 8 "Execute " }{TEXT -1 14 "option of the " }{TEXT 301 5 "Edit " } {TEXT -1 5 "menu." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 11 "Below is a " }{TEXT 268 8 "Section " }{TEXT -1 29 "of a M aple document entitled " }{TEXT 269 7 "Numbers" }{TEXT -1 81 ". At the moment you cannot see what is inside the section because the section \+ is " }{TEXT 270 11 "collapsed. " }{TEXT -1 3 "To " }{TEXT 271 7 "expan d " }{TEXT -1 154 "the section and see what's inside, click the little box with the \"+\" sign. This will reveal the contents of that sectio n with partial bracket to the left." }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{SECT 1 {PARA 3 "" 0 "" {TEXT -1 7 "Numbers" }}{PARA 0 "" 0 "" {TEXT -1 13 "Maple can do " }{TEXT 272 9 "symbolic " }{TEXT -1 35 "calculati ons with rational numbers." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "1/2+1/3;" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 72 "If you would like a decimal representation of that last result, use the " }{TEXT 273 14 "Maple command " }{TEXT -1 49 "evalf which co nverts a numerical expression to a " }{TEXT 274 22 "floating point num ber." }{TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "evalf (1/2+1/3);" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 58 "Want more digits? Here's the same number to thirty digits." }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "evalf(5/6,30);" }}}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 70 "Of course that res ult was predictable. Let's try something else, like " }{XPPEDIT 18 0 " Pi;" "6#%#PiG" }{TEXT -1 29 ". To tell Maple to work with " }{XPPEDIT 18 0 "Pi;" "6#%#PiG" }{TEXT -1 12 " we use the " }{TEXT 275 5 "name " }{TEXT -1 3 "Pi." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "evalf(Pi ,30);" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 53 "Some other calculations. These use the Maple function" }{TEXT 276 1 " " }{TEXT -1 0 "" }{TEXT 277 4 "sqrt" }{TEXT -1 44 " which computes th e square root of a number." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "sqrt(2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "evalf(sqrt(2)) ;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "evalf(sqrt(2),40);" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 109 "Try some calculations on your \+ own in your scratch window. Some other Maple functions: sin, cos, tan, exp, ln." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 11 "Maple Input" }}{PARA 0 "" 0 "" {TEXT -1 95 "If you want t o input commands to Maple you need to generate a command line. Do so b y selecting " }{TEXT 291 12 "Maple Input " }{TEXT -1 9 "from the " } {TEXT 292 7 "Insert " }{TEXT -1 178 "menu (or command-M on a Macintosh ). Maple input can be done almost anywhere in a document. Below we pla ce some Maple input on the same line as text. Note the use of the buil t-in " }{TEXT 294 9 "function " }{TEXT -1 47 "sin, which is the usual \+ trigonometric function." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 20 "Here is some input: " }{MPLTEXT 1 0 10 "s in(Pi/4);" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{PARA 0 "" 0 "" {TEXT 293 121 "Place the cursor below this section an d select Maple input from the Insert menu. Experiment with other funct ions such as " }{TEXT -1 14 "cos, tan, exp " }{TEXT 295 3 "and" } {TEXT -1 5 " ln. " }{TEXT 296 23 "Can you think of others" }{TEXT -1 2 "? " }{TEXT 297 42 "Your instructor may make some suggestions." }}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 11 "On Your Own" }}{PARA 0 "" 0 "" {TEXT -1 694 "In the future you will have to do things using Maple on \+ your own. Maple, unfortunately, is not the most user-friendly system a round. It takes getting used to. There may be times when it does thing s that seem make absolutely no sense. Try to be patient. The problem m ay be due to an internal error. You may have to save the document and \+ restart the program or even the computer. Of course, the problem is us ually due to error in the worksheet. As you continue to use the progra m you will become used to the types of errors that occur. You will lea rn to compensate for any small deficiencies in Maple's design. Hopeful ly you will come to appreciate the program as a useful resource for th e class." }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 12 "Online Help." }} {PARA 0 "" 0 "" {TEXT -1 179 "In the first semester that I used Maple \+ I did not pick up a manual once. I relied solely on Maple's online hel p resources for information on the names of commands, functions, etc. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 219 "Take a look at some of the items in the Help pulldown menu above. Much of \+ it will be self-explanatory. The help files may seem tedious at first. After time you should get used to the format. Some other ways to get \+ help:" }}{PARA 15 "" 0 "" {TEXT -1 36 "Put the cursor on a word and se lect " }{TEXT 278 16 "Help on Context " }{TEXT -1 54 "from the Help me nu. For example, try this on the word " }{TEXT 279 4 "sqrt" }{TEXT -1 92 ". You can also try hitting the help key on your keyboard (this may not work on all systems)." }}{PARA 15 "" 0 "" {TEXT -1 7 "Enter ?" } {TEXT 281 6 "topic " }{TEXT -1 42 "on a command line to get help on wh atever " }{TEXT 282 6 "topic " }{TEXT -1 3 "is." }{TEXT 280 1 " " }} {PARA 15 "" 0 "" {TEXT -1 45 "Use the search resources under the help \+ menu." }}{PARA 15 "" 0 "" {TEXT -1 11 "If you use " }{TEXT 298 15 "Con textual Help" }{TEXT -1 11 " or select " }{TEXT 289 13 "Introduction \+ " }{TEXT -1 34 "from the Help menu a window named " }{TEXT 290 13 "Map le 6 Help " }{TEXT -1 108 "should also open. You can try navigating th rough the topics in this window to find what you are looking for." }} {PARA 15 "" 0 "" {TEXT -1 54 "I may put some Maple books on reserve at the library. " }}}}}{MARK "6 0 0" 4 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }