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Animating Transformations

A demonstration designed to help students visualize transformations and mappings used to move (rotating, reflecting, translating), resize (contracting, expanding), and reshape (shearing, projecting) objects in the plane. While one can easily visualize the effect of such a transformation on particular points or on easily described objects like lines or rectangles, the effect on more complicated objects like graphs of functions or general plane curves is more difficult to visualize. The goal of this demo is to help students more easily visualize such transformations on a wide class of plane objects. Furthermore, use of this demo provide students with a better intuitive feel for the interrelationship between the algebra and the geometry involved, one of the most important foundations of linear algebra.

Identifier: 
http://www.mathdemos.org/mathdemos/anidemo/anifig.html
Rating: 
Average: 3.3 (3 votes)
Creator(s): 
James Uebelacker and Thurmon Whitley
Cataloger: 
David Hill
Publisher: 
University of New Haven
Rights: 
James Uebelacker, Thurman Whitley

Comments

Anonymous's picture

This page provides a demonstration to help students visualize transformations and mappings used to move (rotating, reflecting, translating), resize (contracting, expanding), and reshape (shearing, projecting) objects in the plane. Software supported by Matlab, LiveMath, and Excel can be used to animate the effect of applying various transofrmations to different shapes. The material can be used by students as a self-guided demonstration, or it can be used by instructors in lecture. The prerequisites are modest, with only an introduction to transformations needed. The page includes recommendations for how these materials can be used in a course.

Anonymous's picture

Well thought out, professionally presented videos. 

Dummy View - NOT TO BE DELETED