Maple Animation: 1st Edition (Paperback) book cover

Maple Animation

1st Edition

By John F. Putz

Chapman and Hall/CRC

232 pages | 247 B/W Illus.

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Paperback: 9781584883784
pub: 2003-05-14
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Description

There is nothing quite like that feeling you get when you see that look of recognition and enjoyment on your students' faces. Not just the strong ones, but everyone is nodding in agreement during your first explanation of the geometry of directional derivatives.

If you have incorporated animated demonstrations into your teaching, you know how effective they can be in eliciting this kind of response. You know the value of giving students vivid moving images to tie to concepts. But learning to make animations generally requires extensive searching through a vast computer algebra system for the pertinent functions. Maple Animation brings together virtually all of the functions and procedures useful in creating sophisticated animations using Maple 7, 8, or 9 and it presents them in a logical, accessible way. The accompanying CD-ROM provides all of the Maple code used in the book, including the code for more than 30 ready-to-use demonstrations.

From Newton's method to linear transformations, the complete animations included in this book allow you to use them straight out of the box. Careful explanations of the methods teach you how to implement your own creative ideas. Whether you are a novice or an experienced Maple user, Maple Animation provides the tools and skills to enhance your teaching and your students' enjoyment of the subject through animation.

Reviews

"Putz designed this book for teachers of precalculus and first and second year calculus to provide a large number of animations to be used to illustrate various concepts of calculus. The accompanying CD-ROM contains all the described examples coded for use in class directly, along with suggestions for how to use these examples… This book will be very useful to faculty. Recommended."

-CHOICE, 2004

Table of Contents

Getting Started

The basic command line

A few words about Maple arithmetic

Comments

Assigning names to results

Built-in functions

Defining functions

Getting help and taking the tour

Saving, quitting, and returning to a saved worksheet

The Plot

The basics

Parametric forms

Plotting points and using the plots package

Storing and displaying plots

The plot thickens

Smoothing plots

Color

Scaling

Plotting with style

Adjusting your point of view

A limited view

Tailoring the axes

Toward leaner code

Context-sensitive menus and context bars

Further details

Non-Cartesian Coordinates and Quadric Surfaces

Polar coordinates

Cylindrical coordinates

Spherical coordinates and others

Quadrics quickly

Paraboloids

Elliptic cones

Ellipsoids

Hyperboloids

Quadric surfaces with axes other than the z-axis

Simple Animations

Animating a function of a single variable

Outline of an animation worksheet

Demonstrations: Secant lines and tangent lines

Using animated demonstrations in the classroom

Watching a curve being drawn

Demonstration: The squeeze theorem

Animating a function of two variables

Demonstrations: Hyperboloids

Demonstrations: Paraboloids

Demonstration: Level curves and contour plots

Building and Displaying a Frame Sequence

Sequences

The student and Student[Calculus1] packages

Displaying a sequence of frames

Building sequences with seq

Demonstrations: Rectangular approximation of the definite integral

Demonstration: Level surfaces

Moving points

Demonstrations: Projectiles

Demonstration: Cycloid

Loops and Derivatives

The for loop

The while loop

Derivatives

The line procedure

Demonstrations: Newton's method

Demonstrations: Solids of revolution

Demonstrations: Surfaces of revolution

Adding Text to Animations

Titles

The textplot and textplot3d procedures

Making text move

Demonstrations: Secant lines and tangent lines with labels

Including computed values in text

Demonstration: Rectangular approximation of the definite integral

with annotation

Constructing Taylor polynomials

Demonstrations: Taylor polynomials

Demonstrations: Experimenting with Taylor polynomials

Plotting Vectors

The two arrow procedures

The arrow procedure of the plots package

Dot product and cross product

The arrow options

Demonstration: The cross product vector

Demonstration: Velocity and acceleration vectors in two dimensions

Demonstration: Lines in space

Plotting Space Curves

The spacecurve procedure

Demonstration: Curves in space

Demonstration: Directional derivative and gradient vector

The tubeplot procedure

Demonstration: Velocity and acceleration vectors in three dimensions

Transformations and Morphing

The plottools package

The rotate procedure

The transform procedure

Matrix transformations

Morphing

Linear transformations

Bibliography

Index

Subject Categories

BISAC Subject Codes/Headings:
COM012000
COMPUTERS / Computer Graphics
MAT000000
MATHEMATICS / General
MAT021000
MATHEMATICS / Number Systems