232 Pages 247 B/W Illustrations
    by Chapman & Hall

    232 Pages
    by Chapman & Hall

    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 downloadable resources provide 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.

    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

    Biography

    John F. Putz

    "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