{VERSION 6 1 "Windows XP" "6.1" } {USTYLETAB {PSTYLE "Dash Item" -1 16 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 3 }{PSTYLE "Wa rning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "Bullet Item" -1 15 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 2 }{PSTYLE "Line Printed Output" -1 6 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "Heading 4" -1 20 1 {CSTYLE "" -1 -1 "Times" 1 10 0 0 0 1 1 1 2 2 2 2 0 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 } {PSTYLE "Heading 3" -1 5 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 1 1 2 2 2 2 0 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }1 1 0 0 8 2 2 0 2 0 2 2 -1 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }3 3 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }1 1 0 0 8 4 2 0 2 0 2 2 -1 1 }{PSTYLE "Author" -1 19 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }3 1 0 0 8 8 2 0 2 0 2 2 -1 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Help" -1 10 1 {CSTYLE "" -1 -1 "Courier" 1 9 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "Left \+ Justified Maple Output" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 3 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Fixed Widt h" -1 17 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "R3 Font 5" -1 200 1 {CSTYLE "" -1 -1 "Couri er" 1 24 0 0 0 0 2 1 2 2 2 2 0 0 0 1 }0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "List Item" -1 14 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 5 }{PSTYLE "Error" -1 8 1 {CSTYLE "" -1 -1 "Courier" 1 10 255 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "R3 Font 4" -1 201 1 {CSTYLE "" -1 -1 "Courier" 1 24 0 0 0 0 2 1 2 2 2 2 0 0 0 1 }0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "R3 Font 3" -1 202 1 {CSTYLE "" -1 -1 "Courier" 1 12 0 0 0 0 2 1 2 2 2 2 0 0 0 1 }0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 } {PSTYLE "Diagnostic" -1 9 1 {CSTYLE "" -1 -1 "Courier" 1 10 64 128 64 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "R3 Fo nt 2" -1 203 1 {CSTYLE "" -1 -1 "Courier" 1 14 0 0 0 0 2 2 2 2 2 2 0 0 0 1 }0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "Title" -1 18 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 1 2 2 2 0 0 0 1 }3 1 0 0 12 12 2 0 2 0 2 2 -1 1 }{PSTYLE "R3 Font 0" -1 204 1 {CSTYLE "" -1 -1 "Ti mes" 1 20 0 0 0 0 2 2 2 2 2 2 0 0 0 1 }0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 0 2 2 2 2 2 2 0 0 0 1 }0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{CSTYLE "LaTeX" -1 32 "" 0 1 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }{CSTYLE "Maple Comment" -1 21 " Courier" 0 1 0 0 0 1 0 0 0 2 2 2 0 0 0 1 }{CSTYLE "2D Math Bold" -1 5 "Times" 0 1 0 0 0 0 0 1 2 2 2 2 0 0 0 1 }{CSTYLE "Help Underlined" -1 44 "Times" 1 12 0 0 0 0 0 0 1 2 2 2 0 0 0 1 }{CSTYLE "Output Labels" -1 29 "Times" 1 8 0 0 0 1 0 0 0 2 2 2 0 0 0 1 }{CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 2 1 2 0 0 0 1 }{CSTYLE "Page Number " -1 33 "Times" 0 1 0 0 0 0 0 0 2 2 2 2 0 0 0 1 }{CSTYLE "Maple Input \+ Placeholder" -1 200 "Courier" 1 12 200 0 200 1 0 1 0 2 1 2 0 0 0 1 } {CSTYLE "Text" -1 201 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 } {CSTYLE "2D Math Italic Small" -1 202 "Times" 0 1 0 0 0 0 1 0 2 2 2 2 0 0 0 1 }{CSTYLE "Help Heading" -1 26 "" 1 14 0 0 0 0 0 1 0 2 2 2 0 0 0 1 }{CSTYLE "Help Italic Bold" -1 40 "Times" 1 12 0 0 0 0 1 1 0 2 2 2 0 0 0 1 }{CSTYLE "Help Normal" -1 30 "Times" 1 12 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }{CSTYLE "Help Nonterminal" -1 24 "Courier" 0 1 0 0 0 1 0 1 0 2 2 2 0 0 0 1 }{CSTYLE "2D Math Small" -1 7 "Times" 0 1 0 0 0 0 0 0 2 2 2 2 0 0 0 1 }{CSTYLE "Help Underlined Italic" -1 43 "Times" 1 12 0 0 0 0 1 0 1 2 2 2 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 2 2 2 0 0 0 1 }{CSTYLE "Copyright" -1 34 "Times" 1 10 0 0 0 0 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 2 0 1 2 2 2 0 0 0 1 }{CSTYLE "Plot Title" -1 27 "" 1 10 0 0 0 0 0 1 0 2 2 2 0 0 0 1 }{CSTYLE "2D Input" -1 19 "Times" 0 1 255 0 0 1 0 0 2 2 1 2 0 0 0 1 }{CSTYLE "Help Maple Name" -1 35 "" 0 1 104 64 92 1 0 1 0 2 2 2 0 0 0 1 }{CSTYLE "Help Italic" -1 42 "Times" 1 12 0 0 0 0 1 0 0 2 2 2 0 0 0 1 }{CSTYLE "Help Underlined Bold" -1 41 "Times" 1 12 0 0 0 0 0 1 1 2 2 2 0 0 0 1 }{CSTYLE "Default" -1 38 "" 0 1 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }{CSTYLE "Help Fixed" -1 23 "Courier" 1 10 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }{CSTYLE "Dictionary Hyperlink" -1 45 "" 0 1 147 0 15 1 2 0 1 2 2 2 0 0 0 1 }{CSTYLE "2D Output" -1 20 "Times" 0 1 0 0 255 1 0 0 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math Italic" -1 3 "Times" 0 1 0 0 0 0 1 0 2 2 2 2 0 0 0 1 }{CSTYLE "Popup" -1 31 "" 0 1 0 128 128 1 1 0 1 2 2 2 0 0 0 1 }{CSTYLE "2D Math Symbol 2" -1 16 "Times" 0 1 0 0 0 0 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Plot Text" -1 28 "" 1 8 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }{CSTYLE "Help Notes" -1 37 "" 0 1 0 0 0 1 0 1 0 2 2 2 0 0 0 1 }{CSTYLE "Help Bold" -1 39 "Times" 1 12 0 0 0 0 0 1 0 2 2 2 0 0 0 1 }{CSTYLE "Help Menus" -1 36 "" 0 1 0 0 0 1 0 1 0 2 2 2 0 0 0 1 } {CSTYLE "2D Comment" -1 18 "Times" 0 1 0 0 0 0 0 0 2 2 2 2 0 0 0 1 } {CSTYLE "Help Variable" -1 25 "Courier" 0 1 0 0 0 1 2 2 0 2 2 2 0 0 0 1 }{CSTYLE "2D Math Bold Small" -1 10 "Times" 0 1 0 0 0 0 0 1 2 2 2 2 0 0 0 1 }{CSTYLE "Help Emphasized" -1 203 "" 0 1 0 0 0 0 1 2 0 2 2 2 0 0 0 1 }{CSTYLE "Prompt" -1 1 "Courier" 0 1 0 0 0 1 0 0 0 2 2 2 0 0 0 1 }{PSTYLE "_pstyle1" -1 205 1 {CSTYLE "" -1 -1 "Courier" 1 24 0 0 0 0 2 1 2 2 2 2 0 0 0 1 }0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "_ps tyle2" -1 206 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 0 2 2 2 2 2 2 0 0 0 1 }0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "_pstyle3" -1 207 1 {CSTYLE "" -1 -1 "Courier" 0 1 255 0 0 1 0 1 0 2 1 2 0 0 0 1 }0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{CSTYLE "_cstyle1" -1 204 "Courier" 1 18 255 0 0 1 2 1 2 2 1 2 0 0 0 1 }{PSTYLE "_pstyle4" -1 208 1 {CSTYLE "" -1 -1 "Courier" 1 24 0 0 0 0 2 1 2 2 2 2 0 0 0 1 }0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "_pstyle5" -1 209 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 {EXCHG {PARA 205 "" 0 "" {TEXT -1 0 "" }{TEXT -1 13 "\nMaple B asics" }{TEXT -1 0 "" }{TEXT -1 1 "\n" }}{PARA 206 "" 0 "" {TEXT -1 65 "Here are some basic Maple examples. They illustrate the syntax" }{TEXT -1 0 "" }{TEXT -1 53 "\nof some useful commands for calculus. \+ You can make" }{TEXT -1 0 "" }{TEXT -1 67 "\nthe commands ``happen'' by hitting RETURN at the end of any input" }{TEXT -1 0 "" }{TEXT -1 68 "\nline. Input lines are in red on a color monitor, and they st art" }{TEXT -1 0 "" }{TEXT -1 21 "\nwith a > symbol." }{TEXT -1 0 "" }}{PARA 206 "" 0 "" {TEXT -1 0 "" }}{PARA 206 "" 0 "" {TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 51 "\nDefine an expression to work with in various ways:" }{TEXT -1 0 "" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 17 "f := x^2*sin(x);" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 55 "\nNote \+ that every command ends with a semicolon. Having" }{TEXT -1 0 "" } {TEXT -1 67 "\ndefined f , we can use it in various ways. Maple wi ll remember" }{TEXT -1 0 "" }{TEXT -1 30 "\nwhat's meant by the symbol f." }{TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 1 "\n" }{TEXT -1 78 "\n Now let's try doing some calculus-style things to f, such as differen tiating" }{TEXT -1 0 "" }{TEXT -1 21 "\nf with respect to x." }{TEXT -1 0 "" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 10 "diff (f,x);" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 54 " Look what happens if we use another variable than x :" }{TEXT -1 0 "" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 10 "diff(f,y);" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 46 "Do you \+ agree with the answer? (You should.) " }{TEXT -1 0 "" }{TEXT -1 1 " \n" }{TEXT -1 25 "\nLet's do something else." }{TEXT -1 0 "" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 14 "g := int(f,x);" } {MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 59 "The previ ous command defined g as a new expression ---" }{TEXT -1 0 "" } {TEXT -1 29 "\n an antiderivative of f. " }{TEXT -1 0 "" }}{PARA 206 "" 0 "" {TEXT -1 0 "" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 10 "dif f(g,x);" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 28 "That's reasssuring ... " }{TEXT -1 0 "" }{TEXT -1 69 "\nLet's tr y plotting something. Maple can plot all kinds of things." }{TEXT -1 0 "" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 19 "plot ( f, x=-3..3 );" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 78 "As you see, a new window pops up. You can do various th ings with the buttons" }{TEXT -1 0 "" }{TEXT -1 79 "\nin the menu at t he top of the plot window, such as changing the style of axes." } {TEXT -1 0 "" }{TEXT -1 69 "\nWhen you're done with the window you can use the File menu to close" }{TEXT -1 0 "" }{TEXT -1 15 "\nit or kil l it." }{TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 71 "\nThere are many \+ variations on the plot command. To find out more, use" }{TEXT -1 0 " " }{TEXT -1 64 "\nthe built-in help system. To do so, give a command like this:" }{TEXT -1 0 "" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 5 "?plot" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 75 "A help window pops up, with lots more information tha n you want. The most" }{TEXT -1 0 "" }{TEXT -1 81 "\nuseful stuff is often the examples at the bottom of the window. Note that you " } {TEXT -1 0 "" }{TEXT -1 76 "\ncan try any example by highlighting i t with the mouse, then moving to an" }{TEXT -1 0 "" }{TEXT -1 81 "\nin put position in the Maple window, and pressing the middle mouse button . (This" }{TEXT -1 0 "" }{TEXT -1 71 "\ncopies the highlighted stuff \+ from one window into the input position.)" }{TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 68 "\nHere are a few more plot examples, to illustrate \+ the possibilities:" }{TEXT -1 0 "" }{TEXT -1 2 "\n " }{TEXT -1 0 "" }} {PARA 207 "> " 0 "" {MPLTEXT 1 204 37 "plot( sin(x), x=-Pi .. Pi, -2 . . 2 );" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 0 "" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 37 "plot( sin(x), x=-Pi .. Pi, - 5 .. 5 );" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 207 "> " 0 "" {MPLTEXT 1 204 33 "plot( [sin(t),cos(t), t=0..Pi] );" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 64 "The plot above is a para metric plot---it produces a semi-circle." }{TEXT -1 0 "" }{TEXT -1 74 "\nIf the plot doesn't look right to you, try something in the Proj ection" }{TEXT -1 0 "" }{TEXT -1 45 "\nmenu in the plot window to see \+ what it does." }{TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 70 "\nNote ca refully how the square brackets are used. In particular, the" } {TEXT -1 0 "" }{TEXT -1 68 "\nt-range is included INSIDE the square brackets, for some reason." }{TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 77 "\nIn the next example, the last two bits of information control the ``window''" }{TEXT -1 0 "" }{TEXT -1 28 "\nin which the plot is d rawn." }{TEXT -1 0 "" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 47 "plot( [sin(t),cos(t), t=0..Pi] , -5..5, -5..5);" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 207 "> " 0 "" {MPLTEXT 1 204 34 "plot( [sin (t),cos(t), t=0..2*Pi]);" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 0 "" }{TEXT -1 67 "\nTry playing with any of the command s above, by using the mouse and" }{TEXT -1 0 "" }{TEXT -1 43 "\narrow \+ keys to change whatever you want. " }{TEXT -1 0 "" }{TEXT -1 1 "\n" }}{PARA 205 "" 0 "" {TEXT -1 14 "Plotting in 3d" }{TEXT -1 0 "" } {TEXT -1 1 "\n" }}{PARA 206 "" 0 "" {TEXT -1 0 "" }}{PARA 206 "" 0 "" {TEXT -1 87 "Maple is especially useful for plotting surfaces and othe r objects in three dimensions." }{TEXT -1 0 "" }{TEXT -1 1 "\n" } {TEXT -1 56 "\nThe basic 3-d plotting command has the following form: " }{TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 36 "plot3d( x^2+y^2, x=-3..3, y=-3..3 );" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 0 "" }{TEXT -1 78 "\nT he result is a surface in xyz-space, as you'd expect. Note that you might" }{TEXT -1 0 "" }{TEXT -1 75 "\nhave to fool with some of the m enu items at the top to get axes, different" }{TEXT -1 0 "" }{TEXT -1 85 "\ncolor schemes, etc. After you've made new choices for such th ings, either click " }{TEXT -1 0 "" }{TEXT -1 74 "\nagain on the pict ure (use the MIDDLE mouse button) or type ``p'' to get" }{TEXT -1 0 "" }{TEXT -1 14 "\nthe new plot." }{TEXT -1 0 "" }{TEXT -1 1 "\n" } {TEXT -1 54 "\nTry clicking on the picture and dragging the bounding" }{TEXT -1 0 "" }{TEXT -1 59 "\nbox around to see the surface from diff erent angles. " }{TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 1 "\n" }{TEXT -1 68 "\nTry changing the function or the domain region to see \+ what happens." }{TEXT -1 0 "" }}{PARA 206 "" 0 "" {TEXT -1 0 "" }} {PARA 206 "" 0 "" {TEXT -1 0 "" }}{PARA 208 "" 0 "" {TEXT -1 0 "" } {TEXT -1 24 "\nOther 3d plotting tools" }{TEXT -1 0 "" }}{PARA 206 "" 0 "" {TEXT -1 0 "" }{TEXT -1 78 "\n Maple has many other 3d plotting t ools. To get access to most of them, use" }{TEXT -1 0 "" }{TEXT -1 14 "\nthis command:" }{TEXT -1 0 "" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 14 "with( plots );" }{MPLTEXT 1 204 0 "" }}} {EXCHG {PARA 206 "" 0 "" {TEXT -1 0 "" }{TEXT -1 84 "\nThis loads a lo t of new plotting functions into Maple. For example, you can type" }{TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 41 "contourplot( x^2+y^2, x=-3..3, y=-3..3 );" } {MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 0 "" }{TEXT -1 84 "\nThe result is a set of level curves for the function. (You \+ may want to experiment" }{TEXT -1 0 "" }{TEXT -1 77 "\nwith some of th e menu items at the top of the plot window to get axes, etc.)" }{TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 73 "\nFor more information about an y function, such as contourplot , you can" }{TEXT -1 0 "" }{TEXT -1 49 "\nalways use the Maple help system. Type, e.g., " }{TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 12 "?contourplot" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 0 "" }{TEXT -1 83 "\nYou'll get a window full of information . The bottom of the window often contains" }{TEXT -1 0 "" }{TEXT -1 42 "\nthe most useful information and examples." }{TEXT -1 0 "" }} {PARA 208 "" 0 "" {TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 1 "\n" } {TEXT -1 1 "\n" }{TEXT -1 20 "\nDefining functions " }{TEXT -1 0 "" } {TEXT -1 1 "\n" }}{PARA 206 "" 0 "" {TEXT -1 0 "" }{TEXT -1 70 "\nAbov e we showed how to define f and g as EXPRESSIONS. Doing" } {TEXT -1 0 "" }{TEXT -1 76 "\nso can save a lot of typing and retyping , but it does NOT define f and g" }{TEXT -1 0 "" }{TEXT -1 66 "\nas FUNCTIONS in the usual mathematical sense. For example," } {TEXT -1 0 "" }{TEXT -1 75 "\nwe might like to find f(3), but Ma ple won't do this properly (yet):" }{TEXT -1 0 "" }{TEXT -1 1 "\n" }} {PARA 206 "" 0 "" {TEXT -1 0 "" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 5 "f(3);" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 45 "We got some nonsense, but not what we wanted." }{TEXT -1 0 "" } {TEXT -1 1 "\n" }{TEXT -1 69 "\nHere's how to define f as a FUNCTI ON, not an expression. Notice" }{TEXT -1 0 "" }{TEXT -1 83 "\nthe use of the ``arrow''---it's actually just a hyphen and a greater than \+ sign." }{TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 22 "f := x -> x^2*sin(x);" }{MPLTEXT 1 204 0 " " }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 71 "Now we've defined f succ essfully as a function in the usual sense. " }{TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 5 "f(3 );" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 69 "To g et a decimal form of the answer above, type something like this:" } {TEXT -1 0 "" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 9 "evalf(%);" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 80 "The evalf command tries to evaluate anything to a decimal ( or ``floating " }{TEXT -1 0 "" }{TEXT -1 77 "\npoint'') number. The double quote sign represents the previous output." }{TEXT -1 0 "" }{TEXT -1 1 "\n" }{TEXT -1 81 "\nIf you feed f a decimal number to start with, it will give a decimal output." }{TEXT -1 0 "" }{TEXT -1 1 "\n" }}{PARA 207 "> " 0 "" {MPLTEXT 1 204 7 "f(3.0);" }{MPLTEXT 1 204 0 "" }}}{EXCHG {PARA 207 "> " 0 "" {MPLTEXT 1 204 0 "" }}}{PARA 209 "" 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 }