{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "TXT CMD" -1 256 "" 0 0 128 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "Bookmark" -1 257 "" 0 0 0 128 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "word" -1 258 "Times" 0 0 128 0 0 1 0 1 0 0 0 0 0 0 0 }{CSTYLE "bookma rk" -1 259 "" 0 0 0 128 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 1 24 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 261 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 263 "" 0 1 0 0 0 0 1 1 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 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 266 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 267 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 269 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 271 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 272 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 274 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 275 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 276 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 277 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 278 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 279 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 280 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 281 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 282 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 283 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 284 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 285 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 286 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 287 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 288 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 289 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 290 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 291 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 292 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 2" 3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 4 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Bullet Item" 0 15 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 3 3 0 0 0 0 0 0 15 2 }{PSTYLE "newpa ge" -1 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 1 0 -1 0 }{PSTYLE "vfill" -1 257 1 {CSTYLE "" -1 -1 " " 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "Definition" -1 258 1 {CSTYLE "" -1 -1 "" 0 0 0 64 128 1 0 0 0 0 0 0 0 0 0 }0 0 0 -1 4 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Theorem" -1 259 1 {CSTYLE "" -1 -1 "" 0 0 219 36 36 1 0 0 0 0 0 0 0 0 0 }0 0 0 -1 4 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Problem" 15 260 1 {CSTYLE "" -1 -1 "" 0 0 0 0 255 1 0 0 0 0 0 0 0 0 0 }0 0 0 -1 4 4 3 4 0 0 0 0 -1 5 } {PSTYLE "dblnorm" -1 261 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 2 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "code" 2 262 1 {CSTYLE "" -1 -1 "Comic Sans MS" 0 0 128 0 128 1 0 1 0 0 0 0 3 0 0 }0 0 0 -1 -1 -1 3 12 0 0 0 0 -1 0 }{PSTYLE "asis" 0 263 1 {CSTYLE "" -1 -1 "Arial Narrow" 1 12 128 64 0 1 0 0 0 0 0 1 3 0 0 }0 0 0 -1 -1 -1 3 6 0 0 0 0 0 0 }{PSTYLE "subproblem" 0 264 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "dia gram" -1 265 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "dblnorm.mws" -1 266 1 {CSTYLE " " -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 2 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Item" 0 267 1 {CSTYLE "" -1 -1 "Lucida Sans" 1 12 0 0 0 1 0 0 0 0 0 0 0 0 0 }0 0 0 -1 6 -1 3 0 0 0 0 0 -1 0 }{PSTYLE "" 0 268 1 {CSTYLE "" -1 -1 "" 1 24 0 0 0 0 0 1 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 268 "" 0 "" {TEXT -1 16 "Day 2 with Maple" } {TEXT 260 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 74 "A few pointers. (Aka the answers to some questions that came up in Day 1)" }}{PARA 260 "" 0 "" {TEXT 272 10 "Question 1" }{TEXT -1 53 ". How can I open up new input cells in a worksheet?" }}{PARA 0 "" 0 "" {TEXT 273 7 "An swer." }{TEXT -1 3 " " }{TEXT 269 8 "One way:" }{TEXT -1 147 " Put \+ the cursor in the cell above where you want an input cell to open up. \+ Then click on the the 12th button ( it has a [> symbol in it) in th e" }{TEXT 265 9 " tool bar" }{TEXT 266 3 ". " }{TEXT -1 30 "A new inp ut cell will open up." }{TEXT 270 1 " " }{TEXT -1 46 " (If the tool ba r is not turned on, go to the " }{TEXT 267 9 "View menu" }{TEXT -1 20 " on the top row and " }{TEXT 268 18 "check the Tool bar" }{TEXT -1 2 ".)" }}{PARA 0 "" 0 "" {TEXT 271 13 "Another way: " }{TEXT -1 99 " Put the cursor in the cell above where you want to open a new cell. With the mouse, click on the " }{TEXT 262 11 "Insert menu" }{TEXT -1 57 " \+ at the top of the worksheet, then select the option " }{TEXT 261 15 "Execution group" }{TEXT -1 46 ", then select and click on the seco nd option " }{TEXT 263 15 "After cursor. " }{TEXT 264 2 " " }{TEXT -1 128 "A new input cell will open up. (If you want the input cell to \+ open up above where you are, choose and click on the first option " } {TEXT 274 13 "Before cursor" }{TEXT -1 2 ".)" }}{PARA 0 "" 0 "" {TEXT 276 16 "Yet another way." }{TEXT -1 64 " This is my favorite. Just p ut the cursor in a cell and press " }{TEXT 277 9 "control J" }{TEXT -1 17 " to open a cell " }{TEXT 279 5 "below" }{TEXT -1 16 " the curs or and " }{TEXT 278 10 "control K " }{TEXT -1 15 "to open a cell " } {TEXT 280 5 "above" }{TEXT -1 12 " the cursor." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 198 "You can often discover e diting features by experimenting with the buttons in the tool bar and status bar, and the row of menus at the top. It helps at first to tu rn on the balloon help (click the " }{TEXT 281 9 "Help Menu" }{TEXT -1 5 " and " }{TEXT 282 22 "check the balloon help" }{TEXT -1 12 " opt ion.). " }}{PARA 0 "" 0 "" {TEXT -1 85 "Now, what is the purpose of t he button in the tool bar which has a capital T in it? " }}{PARA 0 " " 0 "" {TEXT -1 56 "Also, if you don't already know, try to discover h ow to " }{TEXT 283 12 "split a cell" }{TEXT -1 17 " and also how to " }{TEXT 284 14 "join two cells" }{TEXT -1 1 "." }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 6 "answer" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 97 "To split, put the cursor in the cell at the point where the split is desired. \+ Then press the F3 " }}{PARA 0 "" 0 "" {TEXT -1 141 "button.For example , split this cell between this line and the line just above by putting the cursor at the front of the line and pressing F3." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 64 "To join, put the cursor anywhere in the \+ top cell and press F4. " }}}}{PARA 0 "" 0 "" {TEXT -1 77 "The followin g question was difficult to answer, the first time it came up. " }} {PARA 260 "" 0 "" {TEXT -1 61 "Question 2. How can I open up a new \+ line in an input cell?" }}{PARA 0 "" 0 "" {TEXT 275 7 "Answer." } {TEXT -1 102 " Put the cursor at the end of the line just above wher e you want a new line to open up. Then press " }{TEXT 285 78 "Shift E nter, that is, hold the shift key down while you press the enter key. \+ " }{TEXT -1 36 "Use this to insert the assignment " }{TEXT 256 6 "b := 9;" }{TEXT -1 98 " into the input cell below on a separate line be tween the two lines that are already in the cell." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "a := 6;\na+b;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 305 "Error messages in Maple \+ are for the most part good, and have gotten better with each new versi on. One of the most common errors used to be forget to put a semico lon or colon at the end of a Maple command. There was no error messa ge to signal the error. Now there is. Try making the assignment \+ " }{TEXT 256 5 "a:=7;" }{TEXT -1 67 " in the input cell below, but l eave off the semicolon on purpose." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 260 "" 0 "" {TEXT -1 44 "Question 3. What does the word \+ unapply do?" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 286 7 "Answer:" }{TEXT -1 190 " The answer to these kinds of questions lie in the Maple help sheets. Use your cursor to highlight the word unapply and then press the F1 key. Actually we can define our own unapply. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 87 "myunapply := proc(expression,variab le)\n proc(t) subs(variable=t,expression) end; end;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "kenstarr := 4*x^3+x^2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "f := myunapply(kenstarr,x);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "f(3);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 260 "" 0 "" {TEXT -1 43 "Question 4. What does the error message '" }{TEXT 256 10 "empty plot" }{TEXT -1 10 "' \+ mean? " }}}{EXCHG {PARA 0 "" 0 "" {TEXT 287 7 "Answer:" }{TEXT -1 129 " It means that there are no points to plot. It comes up whe n you are plotting an undefined function. Here is an example:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "plot(f,0..2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 301 "The function f has not been defined. There may be a definiti on of it in an input cell above the plot command, but you may not have executed that input cell. Here is a definition of a function f: e xecute the input cell containing the definition and then go back up an d reexecute the plot command." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "f := x -> x^2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 " " } }}{EXCHG {PARA 260 "" 0 "" {TEXT -1 75 "Question 4: I tried to plot \+ x^2 and I got gobbletygook. What happened?" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 1 " " }{TEXT 288 11 "Discussion:" }{TEXT -1 45 " Show me \+ what you typed. Well, I typed ---" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "plot x^2;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "What 's wrong with this?" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 14 "or, I typed --" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "Plot (x^2, x=0..3);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "What 's wrong with this?" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 261 "A common mistake is to mispell a command. If you do, Maple just spits the word back to you since it doesn't have t he definition of the mispelled command in its dictionary of commands. \+ You can spot this by just reading the output and noting the mispell ings." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 260 "" 0 "" {TEXT -1 50 "Question 5. How come there isn't a color purple?" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 56 "To verify that there is no named color pu rple, try this." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "plot(x^2 ,x=0..1, color=purple);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 289 7 "Answer :" }{TEXT -1 131 " There just isn't. There was a color purple in r elease 4, but it got taken out. Change purple to magenta, whenever yo u see it." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 260 "" 0 "" {TEXT 291 11 "Question 6." }{TEXT -1 95 " I executed this input cell, and \+ the cursor jumped down the page about two feet. Wha happen?" }}} {EXCHG {PARA 0 "" 0 "" {TEXT 290 7 "Answer:" }{TEXT -1 383 " When you execute an input cell, Maple puts the output immediately below and j umps to the next unexecuted input cell. If that cell is two feet dow n the page, it goes there anyway, leaving you wondering where the outp ut went. The fix for this is to split the input cell if need be and \+ insert some open input cells just below so that Maple will stop and le t you smell the output." }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 117 " Hin t: You can find the answer to a great many questions about the work sheet interface by using the help system. " }{HYPERLNK 17 "Click here " 2 "worksheet" "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 34 "Visual Prob lem Solving worksheets." }}{PARA 0 "" 0 "" {TEXT -1 293 "The first 6 w orksheets in the Visual Problem Solving book form a detailed introduc tion to drawing things (boxes, actually) and moving them around in a \+ Maple worksheet. Most everything is done from scratch. There are a few problems that arise when you try to work through the materials. \+ " }}{PARA 15 "" 0 "" {TEXT -1 91 " In the worksheet ch1.mws, replace c olor=purple with color=magenta wherever it occurs. " }}{PARA 15 " " 0 "" {TEXT -1 337 " In the worksheet ch2.mws, replace all occurenc es of color=purple with color=magenta. Also, you might find it usefu l to split out several input cells and insert some open input cells. \+ A poorly edited version of the worksheet was written to the chisel di sk. There are also some missing graphics, which you sort of have to \+ imagine." }}{PARA 15 "" 0 "" {TEXT -1 103 " In the worksheet ch3.mws, \+ replace purple by magenta as before ( there are not so many offenders \+ here)." }}{PARA 15 "" 0 "" {TEXT -1 121 "In the worksheet ch4b.mws, re place the occurence BL([0,0,2*t]) with CBP([0,0,2*t],red) about halfwa y down the worksheet. " }}{PARA 15 "" 0 "" {TEXT -1 267 "In the movie \+ constructed in the exercises at the bottom of ch5.mws, replace 'inseq uence=true' by 'insequence=true,axes=none'. Otherwise, your workshee t may go away in a flash when you execute this cell. (At least it di d before they patched release 5 of Maple). " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 292 11 "Suggestions" }{TEXT -1 191 ": \+ Pick one of the worksheets, and work through it, reading the text an d working some of the exercises. When there is a concensus to move on to another worksheet, do so. Ask questions. " }}}}{MARK "2 0 1" 0 }{VIEWOPTS 1 1 0 1 1 1803 }