{VERSION 5 0 "IBM INTEL NT" "5.0" } {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 "Blue Emphasis" -1 256 "Times" 0 0 0 0 255 1 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "Green Emphasis" -1 257 "Times" 1 12 0 128 0 1 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "Maroon Emphasis" -1 258 "Times" 1 12 128 0 128 1 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "Purple Emphasis" -1 259 "Times" 1 12 102 0 230 1 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "Red Emphasis" -1 261 "Times" 1 12 255 0 0 1 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "Dark Red Emphasis" -1 267 "Times" 1 12 128 0 0 1 0 1 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 0 128 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 3 0 3 0 2 2 0 1 }{PSTYLE "Heading 2 " -1 4 1 {CSTYLE "" -1 -1 "Times" 1 14 128 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 "Error" -1 8 1 {CSTYLE "" -1 -1 " Courier" 1 10 255 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -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 "Maple Plot" -1 13 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 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 14 "What is Maple?" }}{PARA 0 "" 0 " " {TEXT -1 147 "Adapted from a worksheet by Carl Eberhart,\nProfessor \+ of Mathematics, Department of Mathematics,\nUniversity of Kentucky,\nh ttp://www.ms.uky.edu/~carl" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 18 "Version: 20.2.2002" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 24 "Four Properties of Maple" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{PARA 0 "" 0 "" {TEXT -1 163 "Here we intend to provide \+ you with just enough information about the Maple language to give a he ad start at using it productively in the problem solving process. " }} {PARA 0 "" 0 "" {TEXT -1 82 "Maple has at least four properties which \+ make it very useful in problem solving. " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }}{PARA 0 "" 0 "" {TEXT -1 10 "It is an " }{TEXT 259 23 "immedi ate mode language" }{TEXT -1 1 ":" }{TEXT 256 1 " " }{TEXT -1 1 " " }} {PARA 0 "" 0 "" {TEXT -1 195 "That means that you can type in commands and execute them, just like in the languages Basic and Logo. A Maple \+ command is simply a string of characters ending in a semicolon ';' or colon ':'. " }}{PARA 0 "" 0 "" {TEXT -1 82 "For example, the foll owing commands tell Maple to do three things: add 2 and 5, " }{TEXT 0 6 "factor" }{TEXT -1 20 " the quadratic, and " }{TEXT 0 6 "expand" } {TEXT -1 14 " the binomial." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "2+5;\nfactor(x^2+5*x +6);\nexpand(( x+y)^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&%\"xG\"\"\"\"\"$F&F&,&F%F&\"\"#F&F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$)%\"xG\"\"#\"\"\"F(*(F'F(F&F(%\"yGF(F(*$)F*F'F (F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 10 "The words " }{TEXT 0 6 "factor" }{TEXT -1 5 " and " }{TEXT 0 6 "expand" }{TEXT -1 371 " are n ames of procedures which have been defined for performing the action ( sometimes) suggested by the name on the stuff enclosed in parentheses \+ just after the word. That stuff is usually called the input of the pro cedure. The result of performing the procedure on the input is natural ly called the output of the procedure. If the command is terminated wi th a semicolon " }{TEXT 0 1 ";" }{TEXT -1 73 ", the output is displaye d, and if the command is terminated with a colon " }{TEXT 0 1 ":" } {TEXT -1 30 ", the output is not displayed." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 9 "It is a " }{TEXT 259 34 "symbol ic and graphical manipulator" }{TEXT -1 1 ":" }{TEXT 256 1 " " }{TEXT -1 1 " " }}{PARA 0 "" 0 "" {TEXT -1 135 "That means that it is built t o work with algebraic expressions and draw pictures. There is a large \+ vocabulary of Maple words, such as " }{TEXT 0 6 "factor" }{TEXT -1 2 ", " }{TEXT 0 8 "simplify" }{TEXT -1 6 ", and " }{TEXT 0 6 "expand" } {TEXT -1 379 " which are used to \"symbolically manipulate\" expressi ons in the manner you are used to doing with pencil and paper. There a re also a number of plotting procedures, which are used to draw graphs of functions of one or two variables, curves and surfaces. These draw ings can be animated (i.e. displayed in sequence) to study change. Two of the plotting procedures most often used, " }{TEXT 0 4 "plot" } {TEXT -1 5 " and " }{TEXT 0 6 "plot3d" }{TEXT -1 99 ", are part of the regular Maple vocabulary. The rest, and there are several, are found \+ in the the " }{TEXT 0 5 "plots" }{TEXT -1 82 " package, a sort of spe cialized vocabulary of words which is loaded separately. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 9 "It is an " } {TEXT 259 19 "extensible language" }{TEXT -1 2 ": " }}{PARA 0 "" 0 "" {TEXT -1 492 "What this means is that you can define additional proced ures and add them to the vocabulary. Initially, there will be little n eed to do this, except to define functions. The existing vocabulary is large enough to carry out the solution to many problems. After a whi le, it becomes very useful to be able to add new words to the vocabula ry. If you develop some words to work on a specialized class of proble ms, these can be put into a package of procedures for easy access betw een worksheets. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 67 "Maple comes equipped with several such packages already, \+ including " }{TEXT 0 5 "plots" }{TEXT -1 30 " a package of drawing wor ds, " }{TEXT 0 6 "linalg" }{TEXT -1 71 " - a very useful package of v ector and matrix manipulation procedures, " }{TEXT 0 8 "combinat" } {TEXT -1 52 " - a package of procedures from combinatorics, and " } {TEXT 0 8 "networks" }{TEXT -1 28 " - a graph theory package.\n" }} {PARA 0 "" 0 "" {TEXT -1 16 "It comes with a " }{TEXT 259 21 "workshee t environment" }{TEXT -1 14 " -- see below." }}{PARA 0 "" 0 "" {TEXT -1 227 "We want to learn to use Maple to solve problems. In order mak e good use of the language for this purpose, we need to become familia r with the worksheet environnment, get to know the language, and foste r our experimental urges." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 48 "The Worksheet: A handy place to solve pr oblems." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{PARA 0 "" 0 "" {TEXT -1 548 "When you click on the Maple Icon in Windows, an unt itled worksheet opens up. Think of it as a clean sheet of paper. Typ ically, after a while, the worksheet will contain a record of the work done to date on the problem or problems you have been working on. Ve ry often, you might be in a problem-solving team working on the proble ms. The worksheet can be given a name and saved onto a disk for later working or for handing in. The worksheet file consists of a number o f cells of three different types: input cells, output cells, and text cells." }}{PARA 0 "" 0 "" {TEXT -1 1 " " }}{PARA 0 "" 0 "" {TEXT 259 11 "Input cells" }{TEXT -1 3 ": " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }} {PARA 0 "" 0 "" {TEXT -1 43 "These start with the command prompt: [ > ." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 " " }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 405 "An input cell is the place where you put the \"commands \" or \"statements\" you want Maple to execute. The cell can contain o ne or more statements, each ending with a semicolon. The nice thing ab out these cells in a worksheet is that they can be modified and re-exe cuted over and over again. This enables you to correct typing mistake s with relative ease. For example, suppose I wanted Maple to calculat e " }{TEXT 0 16 "3*(4+5*3)*(7+6);" }{TEXT -1 28 " but left out a par enthesis." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "3*(4+5*3)*(7+6 ;" }}{PARA 8 "" 1 "" {TEXT -1 28 "Synt ax error, `;` unexpected" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 223 "An \+ error message is generated which may help you find your mistake. So y ou can make a change in that input cell and re-execute it. Use the mou se to put the cursor at the spot where the error occurs and make the c orrection " }}{PARA 0 "" 0 "" {TEXT -1 180 "You can also use this abil ity to change and re-execute input cells to change the numbers in what ever problem you have worked out a solution to and see how the solutio n is affected." }}{PARA 0 "" 0 "" {TEXT -1 2 " " }}{PARA 0 "" 0 "" {TEXT 259 12 "Output cells" }{TEXT -1 2 ": " }}{PARA 0 "" 0 "" {TEXT -1 273 "Almost every input cell, when executed, gives an output cell c ontaining the results of the calculations. It is appended to the inpu t cell which produced it. For example, let's add 3 to the power 23 an d 4 to the power 12 -- then let's factor the result into prime factors ." }}{PARA 0 "" 0 "" {TEXT 259 4 "Note" }{TEXT -1 91 ": You can get a \+ new line associated with a single command prompt by typing \"shift - e nter\"." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "s := 3^23 + 4^12;\nifactor(s);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"sG\",Vg&*fT*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&- %!G6#\"$F(\"\"\"-F%6#\"*4&=&H\"F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 132 "You inspect the output cell to see if it is what you wan t. If it is not, then go back and change the input cell, and re-execut e it. " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }}{PARA 0 "" 0 "" {TEXT -1 33 "Certain Maple procedures such as " }{TEXT 0 4 "plot" }{TEXT -1 30 " generate a picture as ouput. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "plot(x^3-x+4, x=-2..2); " } }{PARA 13 "" 1 "" {GLPLOT2D 297 244 244 {PLOTDATA 2 "6%-%'CURVESG6$7S7 $$!\"#\"\"!F(7$$!1LLL$Q6G\">!#:$!1(Q82bte3\"F.7$$!1nm;M!\\p$=F.$!1RV%) *p#=;O!#;7$$!1LLL))Qj^eb>NBx$F67$$!1LLL=Kvl;F.$\"1J5(p[JP/\"F .7$$!1nm;C2G!e\"F.$\"1I[<^f'Qj\"F.7$$!1LL$3yO5]\"F.$\"1\\'y>nL!>@F.7$$ !1++]nU)*=9F.$\"1X;\\Ui$=c#F.7$$!1LL$3WDTL\"F.$\"1na*o)z_fHF.7$$!1++]d (Q&\\7F.$\"1iW-M]d)H$F.7$$!1nmmc4`i6F.$\"1w5g#o&R\"f$F.7$$!1LLLQW*e3\" F.$\"16?0VQW0QF.7$$!1,+++()>'***F6$\"1x%el#)f2+%F.7$$!1++++0\"*H\"*F6$ \"1]#3T$\\'>:%F.7$$!1++++83&H)F6$\"1?rUvqteUF.7$$!1LLL3k(p`(F6$\"1:&Q \"e?bDVF.7$$!1nmmmj^NmF6$\"1@j5P$*QrVF.7$$!1ommm9'=(eF6$\"1$=G:mJZQ%F. 7$$!1,++v#\\N)\\F6$\"1/<$pn%euVF.7$$!1pmmmCC(>%F6$\"1g8az?yXVF.7$$!1** ***\\FRXL$F6$\"1,F'ynwjH%F.7$$!1+++D=/8DF6$\"1#)RRqLVNUF.7$$!1mmm;a*el \"F6$\"1\\Ug$4\\5;%F.7$$!1pmm;Wn(o)!#<$\"1NO(f.@i3%F.7$$!1qLLL$eV(>!#= $\"10rj]V(>+%F.7$$\"1Mmm;f`@')Fhr$\"1T%)>([DW\"RF.7$$\"1)****\\nZ)H;F6 $\"1#ewawW8%QF.7$$\"1lmm;$y*eCF6$\"1.#zNcq*oPF.7$$\"1*******R^bJ$F6$\" 1g[FAB*[q$F.7$$\"1'*****\\5a`TF6$\"1jiN$Q-jl$F.7$$\"1(****\\7RV'\\F6$ \"1B_*>b5fi$F.7$$\"1'*****\\@fkeF6$\"19Ng*GW_h$F.7$$\"1JLLL&4Nn'F6$\"1 '3-?me)HOF.7$$\"1*******\\,s`(F6$\"1E6_$zjWn$F.7$$\"1lmm\"zM)>$)F6$\"1 #ei6e7Ru$F.7$$\"1*******pfa<*F6$\"1IU@!\\`=$)F.7$$\"1++]2%)38>F.$\"1k^ RMxj)3*F.7$$\"\"#F*$\"#5F*-%'COLOURG6&%$RGBG$Fhz!\"\"F*F*-%+AXESLABELS G6$Q\"x6\"%!G-%%VIEWG6$;F(Fez%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 1 ";" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT 259 21 "Text or comment cells" }{TEXT -1 2 ": " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 324 "A text cell used is to record remarks and explanations of the solution to the problem you are working on. It is a good idea to be liberal with text. Undocument ed calculations are for the most part worthless to anyone but the pers on who made the calculations, and even then the value is a rapidly dec reasing function of time." }}{PARA 0 "" 0 "" {TEXT -1 160 "You can ins ert text informally simply by introducing spaces or paragraphs in betw een input/output groups as is done here, or you can make a formal text insert :" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 27 "This is a formal text cell." }}}{PARA 0 "" 0 "" {TEXT -1 2 " " }}{PARA 0 "" 0 "" {TEXT -1 257 "You have very good control over the cells in your worksheet with the Menus at the top of this workshe et. Depending on what platform you are using (Windows, X, or Mac), th e menus may vary in their titles, but the effects are the same with mi nor differences:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 61 "You open up new cells (input or text) between existing ce lls." }}{PARA 0 "" 0 "" {TEXT -1 64 "You can erase cells (input, text, or output) at your discretion." }}{PARA 0 "" 0 "" {TEXT -1 72 "You ca n copy cells (input or text) and paste them into another location." }} {PARA 0 "" 0 "" {TEXT -1 199 "These controls make it relatively easy t o work away on a worksheet, doing computations, recording observations , explanations, etc and then go back and polish the worksheet up into \+ a public document. " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }}{PARA 0 "" 0 " " {TEXT -1 475 "The worksheet does not replace pencil and paper or the chalk board in the problem solving process. When you are in the midd le of analyzing a problem and deciding how to solve it, these tools ar e extremely useful. It is easier to draw a rough diagram by hand than by Maple. After you have decided on a plan and need to do some numer ical calculation, some symbolic manipulation, or some plotting to carr y out the plan, then a knowledge of the Maple language becomes useful. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 26 "Get to know the language " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{PARA 0 "" 0 "" {TEXT -1 177 "Maple has a large \+ built in vocabulary of words especially defined to carry out many of t he algorithms you have learned in your previous math classes. There ar e Maple words like " }{TEXT 0 6 "factor" }{TEXT -1 3 ", " }{TEXT 0 6 "expand" }{TEXT -1 3 ", " }{TEXT 0 8 "simplify" }{TEXT -1 44 ", etc. \+ You can learn about them with online " }{TEXT 259 4 "Help" }{TEXT -1 3 ". " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 158 "There is a Browser available in Windows Maple which has the Maple vocabulary nicely indexed by category. Alternatively, you can ask for help in an input cell." }}{PARA 0 "" 0 "" {TEXT -1 31 "For example, t o find out about " }{TEXT 0 6 "factor" }{TEXT -1 11 " just type:" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "?factor" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 81 "Knowing a Maple wo rd for a procedure is one thing, but you also need to know the " } {TEXT 259 6 "syntax" }{TEXT -1 427 " of the procedure. What is syntax ? Every algorithm requires certain input information in order to be p erformed. After it has been performed, certain output information is \+ produced. To know the syntax of a Maple word is to know the input info rmation needed and the output information produced by the word. The he lp screen gives you the syntax of the word, and thus tells you how to use it. For example, the help screen for " }{TEXT 0 6 "factor" } {TEXT -1 110 " tells us (in calling sequences) that there are one and \+ possibly two inputs needed and one output produced by " }{TEXT 0 6 "fa ctor" }{TEXT -1 2 ". " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 276 "The most useful part of the help screen is the bottom part, where there are examples of the usage of the word in question. \+ These examples can be copied into a worksheet and tested out, which gi ves you a chance to develop a feel for the procedure by experimenting \+ with its use." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "?plot" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 11 "Experiment!" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}} {PARA 0 "" 0 "" {TEXT -1 443 "Experimentation is a prime source of lea rning. We are constantly conducting little experiments, learning from them, and using that knowledge in some way. The same holds true when \+ you are learning Maple and/or working on some math problem. The help f acility is a great aid to experimentation. Say you are working on a m ath problem and you need to carry out some algorithm, like solve an eq uation you have set up. You know the Maple procedure " }{TEXT 0 5 "sol ve" }{TEXT -1 78 " will carry out the algorithm, but you have forgotte n the syntax. You can use " }{TEXT 0 7 "example" }{TEXT -1 83 " to lis t some examples of its usage, rather than bring up the entire help she et on " }{TEXT 0 5 "solve" }{TEXT -1 2 ". " }}{PARA 0 "" 0 "" {TEXT -1 28 "Alternatively, you can type " }{TEXT 0 8 "???solve" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "???solve" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 249 "Kee p in mind that the help sheets are written for general use by both nov ices and experts, so don't be intimidated by unfamiliar terminology. O ften the examples at the bottom of the sheet suffice to tell you what \+ you need to know. Keep using help! " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 266 "Experimentation is used at the beginni ng of solving a problem to generate data to conjecture a solution. To wards the end of the process, experimentation is used to test the solu tion. Maple makes the act of experimentation easier to carry out and \+ easier to modify. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 185 "A Maple Worksheet makes it easier to carry on work from \+ one session to the next, and to prepare public documents, i.e. homewor k assignments, reseach papers, etc. for public consumption." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{SECT 1 {PARA 4 "" 0 "" {TEXT 260 5 "Tasks" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 2 "Q1" }}{PARA 0 "" 0 "" {TEXT -1 32 "Discover the difference between " }{TEXT 0 6 "f actor" }{TEXT -1 5 " and " }{TEXT 0 7 "ifactor" }{TEXT -1 7 " using " }{TEXT 0 8 "?ifactor" }{TEXT -1 2 ". " }}{PARA 0 "" 0 "" {TEXT -1 46 " ______________________________________________" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 46 "____________________ __________________________" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 2 "Q2" }}{PARA 0 "" 0 "" {TEXT -1 4 "Use " }{TEXT 0 7 "ifactor" }{TEXT -1 33 " to factor your s tudent number. " }}{PARA 0 "" 0 "" {TEXT -1 46 "_____________________ _________________________" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 46 "______________________________________________ " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}{SECT 1 {PARA 4 " " 0 "" {TEXT -1 2 "Q3" }}{PARA 0 "" 0 "" {TEXT -1 4 "Use " }{TEXT 0 9 "nextprime" }{TEXT -1 41 " to find the first 30 primes after 5000. " } }{PARA 0 "" 0 "" {TEXT -1 46 "________________________________________ ______" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 46 "______________________________________________" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 2 "Q4" }}{PARA 0 "" 0 "" {TEXT -1 7 "How do " }{TEXT 0 7 "collect" } {TEXT -1 2 ", " }{TEXT 0 6 "coeff " }{TEXT -1 4 "and " }{TEXT 0 6 "exp and" }{TEXT -1 8 " work? " }}{PARA 0 "" 0 "" {TEXT -1 20 "Use them to expand " }{XPPEDIT 18 0 "(x+2*y)^4" "6#*$,&%\"xG\"\"\"*&\"\"#F&%\"yG F&F&\"\"%" }{TEXT -1 77 ", collect the result into a polynomial in x, \+ and find the coefficient of the " }{XPPEDIT 18 0 "x^3" "6#*$%\"xG\"\"$ " }{TEXT -1 22 " term of that result. " }}{PARA 0 "" 0 "" {TEXT -1 46 "______________________________________________" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 46 "____________________ __________________________" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 2 "Q5" }}{PARA 0 "" 0 "" {TEXT -1 65 "Spend a few minutes with the online help deciding what th e terms " }{TEXT 0 4 "list" }{TEXT -1 5 " and " }{TEXT 0 3 "set" } {TEXT -1 85 " mean in Maple. In particular, what is the main differenc e between a list and a set? " }}{PARA 0 "" 0 "" {TEXT -1 46 "_________ _____________________________________" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 46 "_________________________________ _____________" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 2 "Q6" }}{PARA 0 "" 0 "" {TEXT -1 56 "If you haven't already, find out the usage of the terms " }{TEXT 0 3 "seq" }{TEXT -1 3 " , " }{TEXT 0 4 "NULL" }{TEXT -1 3 " , " }{TEXT 0 6 "subsop" }{TEXT -1 30 " as used in the examples for " }{TEXT 0 3 "s et" }{TEXT -1 5 " and " }{TEXT 0 4 "list" }{TEXT -1 2 ". " }}{PARA 0 " " 0 "" {TEXT -1 46 "______________________________________________" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 46 "__ ____________________________________________" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}}{MARK "5 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }