Maple 9 Learning Guide - Maplesoft

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288 • Chapter 8: Input and Output8. To export the worksheet as an HTML document with frames, selectthe Use Frames check box.9. You can export mathematical expressions in various forms. SelectGIF images, MathML1.0, MathML2.0, or MathML2.0 withWebEQ.10. Click OK.Example of Export to HTML Format The following is a Maple worksheetexported as HTML. Notice that other HTML documents (includinga table of contents), which were created by the export process, are calledwithin it.tut1.htmSorry, this document requires that your browser supportframes.This linkwill take you to a non-frames presentation of the document.The following is a portion of the tut11.htm file called in the abovetut1.htm file.CalculationLook at the integral . Notice that its integrand,
8.3 Exporting Worksheets • 289align=middle>, depends on the parameter .Give the integral a name so that youcan refer to it later.> expr := Int(x^2 * sin(x-a),x);The value of the integral is an anti-derivative of the integrand.L A TEXThe .tex file that Maple generates is ready for processing by L A TEX. Alldistributions of Maple include the necessary style files.Translation of Maple Worksheets to L A TEX The following is a descriptionof what happens when you export the worksheet.• Displayed mathematics is translated into L A TEX 2e, using line-breakingalgorithms to conform to the document width requested by the user.• Hidden content is not exported.• Images and sketches are not exported.• Maple character styles are mapped directly onto L A TEX 2e macro calls.• Maple paragraph styles are mapped onto L A TEX environments.• Maple section headings are mapped onto L A TEX sections and subsections.
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Maple 9Learning GuideBased in part
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ContentsPreface 1Audience . . . . .
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Contents • vRoot Finding and Fact
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Contents • viiLast-Name Evaluatio
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1 Introduction to MapleMaple is a S
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2 Mathematics with Maple:The Basics
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2.2 Numerical Computations • 7are
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2.2 Numerical Computations • 9Tab
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2.2 Numerical Computations • 11Im
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2.2 Numerical Computations • 13Th
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2.2 Numerical Computations • 15Ma
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2.3 Basic Symbolic Computations •
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2.4 Assigning Expressions to Names
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2.5 Basic Types of Maple Objects2.5
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2.5 Basic Types of Maple Objects
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{1,2,3,a,b,c} intersect {0,1,y,a};2
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third_set := old_set minus {2, 5};2
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2.6 Expression Manipulation • 333
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x 2 + x y + y 2(y + x) (x 2 + y 2 )
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2.6 Expression Manipulation • 37T
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2.6 Expression Manipulation • 39>
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2.6 Expression Manipulation • 41C
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3 Finding SolutionsThis chapter int
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3.1 The Maple solve Command • 45s
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3.1 The Maple solve Command • 47A
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3.1 The Maple solve Command • 49>
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3.1 The Maple solve Command • 51>
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3.1 The Maple solve Command • 53f
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3.2 Solving Numerically Using the f
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3.2 Solving Numerically Using the f
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3.4 Polynomials • 59Solving Recur
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3.4 Polynomials • 61> sort(mul_va
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3.4 Polynomials • 63Table 3.1 Com
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3.5 Calculus3.5 Calculus • 65Mapl
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3.5 Calculus • 67> plot({f(x), p}
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3.5 Calculus • 69> simplify(%);x
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3.6 Solving Differential Equations
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_C1 e + _C2 e (−1) − _C3 sin(1)
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4 Maple OrganizationThis chapter in
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4.1 The Organization of Maple • 8
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CurveFitting commands that support
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4.2 The Maple Packages • 85Orthog
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4.2 The Maple Packages • 87TypeTo
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4.2 The Maple Packages • 89To vie
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4.2 The Maple Packages • 91> Limi
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4.2 The Maple Packages • 93You ca
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4.2 The Maple Packages • 95The fo
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4.2 The Maple Packages • 97To est
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4.2 The Maple Packages • 99> read
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4.2 The Maple Packages • 101The s
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5 PlottingMaple can produce several
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5.1 Graphing in Two Dimensions •
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polarplot( r-expr, angle=range )5.1
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5.2 Graphing in Three Dimensions
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5.3 Animation • 127Simultaneous u
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5.3 Animation • 129Specifying Fra
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• a,b - real constants giving the
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5.4 Annotating Plots • 133The Sph
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5.5 Composite Plots • 135> with(p
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a := plot( sin(x), x=-Pi..Pi ):5.6
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5.6 Special Types of Plots • 139T
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5.6 Special Types of Plots • 141A
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5.6 Special Types of Plots • 1431
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5.7 Manipulating Graphical Objects
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5.7 Manipulating Graphical Objects
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hedgehog := [s1, s2, c3, stelhs]:>
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5.8 Code for Color Plates • 151>
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5.10 Conclusion5.10 Conclusion •
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6 Evaluation andSimplificationExpre
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expand( (x+1)*(y^2-2*y+1) / z / (y-
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6.1 Mathematical Manipulations •
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factor( poly, RootOf(x^2-2) );6.1 M
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6.2 Assumptions • 175> assume( a
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6.2 Assumptions • 177∞Logarithm
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6.2 Assumptions • 179a:nothing kn
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6.3 Structural Manipulations • 18
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f := (x, y) → is(x < y)6.3 Struct
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term3 := 2 cos(x) 2 sin(x)6.3 Struc
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y := ln( sin( x * exp(cos(x)) ) );y
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√ z sin(z) + w6.3 Structural Mani
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6.4 Evaluation Rules • 203> eval(
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6.4 Evaluation Rules • 205proc(x:
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6.4 Evaluation Rules • 207The seq
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6.4 Evaluation Rules • 2091Import
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6.4 Evaluation Rules • 211> q :=
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6.5 Conclusion • 213> sum( ’a||
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7 Solving Calculus ProblemsThis cha
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7.1 Introductory Calculus • 217>
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7.1 Introductory Calculus • 219In
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⎡⎧ ⎛1 √⎞1⎨5 − ⎩⎢a
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7.1 Introductory Calculus • 223en
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sol := solve( {err_x=0, err_xi=0},
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7.1 Introductory Calculus • 227If
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7.1 Introductory Calculus • 229>
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7.1 Introductory Calculus • 231{0
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7.1 Introductory Calculus • 233An
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∫ 1+ sin(x) dx27.1 Introductory C
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Page 249 and 250: 7.2 Ordinary Differential Equations
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Page 253 and 254: Evaluate the result at values for t
Page 261 and 262: odeplot( sol, [t, x(t)], -1..2 );7.
Page 265 and 266: You must evaluate the derivatives a
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Page 275 and 276: f := unapply( rhs( % ), t );7.2 Ord
Page 277 and 278: eq := diff(y(t),t) = 1-y(t)*f(t);7.
Page 279 and 280: 7.3 Partial Differential Equations
Page 285 and 286: 8 Input and OutputMaple provides co
Page 287 and 288: 8.1 Reading Files • 279For exampl
Page 289 and 290: 8.2 Writing Data to a File • 281W
Page 291 and 292: ExportVector( "vectordata.txt", V )
Page 293 and 294: 8.2 Writing Data to a File • 285o
Page 295: 8.3 Exporting Worksheets • 287•
Page 299 and 300: 8.3 Exporting Worksheets • 291\en
Page 301 and 302: 8.3 Exporting Worksheets • 293Exp
Page 303 and 304: 8.3 Exporting Worksheets • 295Pla
Page 305 and 306: 8.3 Exporting Worksheets • 2974.
Page 307 and 308: 8.5 Conclusion • 299Graphics Suit
Page 309 and 310: 9 Maplet User InterfaceCustomizatio
Page 311 and 312: 9.3 How to Start the Maplets Packag
Page 313 and 314: 9.7 How to Activate a Maplet Applic
Page 315 and 316: Index!, 8I ( √ −1), 14π, 12~,
Page 317 and 318: Index • 309combiningpowers, 37pro
Page 319 and 320: Index • 311integer quotient, 9int
Page 321 and 322: Index • 313partial, 173fsolve, 54
Page 323 and 324: Index • 315liesymm, 83lighting sc
Page 325 and 326: Index • 317graphical, 144odeplot,
Page 327 and 328: Index • 319lighting schemes, 126l
Page 329 and 330: Index • 321refining 2-D plots, 11
Page 331 and 332: Index • 323by total order, 60spac
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Maple 9 Learning Guide - Maplesoft

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