Maple Animation

Maple Animation

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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.show more

Product details

  • Paperback | 232 pages
  • 156.5 x 233.2 x 14.5mm | 358.34g
  • Taylor & Francis Inc
  • CRC Press Inc
  • Bosa Roca, United States
  • English
  • 247 black & white illustrations
  • 1584883782
  • 9781584883784

Review quote

"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, 2004show more

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 Indexshow more