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Further Calculus And Series
Max/min Volume Problems - By Fergal Reid
This Applet Demonstrates How Differnetial Calculus Can Quickly Solve Max/min Problems. It
Provides An Illustration Of What It Is That Calculus Actually Helps Us Do, And The Power Of
Calculus As A Tool For Finding Quantities Maximum Or Minimum Values, And The Conditions Under Width These Occur. [View Applet]
Approximation Of Pi - By Birgit Boeckeler
There Are Several Ways To Approximate Pi Mathematically, This Applet Uses The Most Illustrative One: It Draws Two Polygons And A Circle On The Screen, One Polygon Touching The Circle From The Outside, One From The Inside. The Polygons Double The Number Of Their Sides With Each Approximation, The Values Of Their Perimeters And Areas Getting More And More Close To Those Of The Circle.
N.b.: The Applet Shows Just A Quarter Of The Drawing And Thus Uses A "default Zoom", As The Polygons Are Increasingly Difficult To Distinguish From The Circle.
[View Applet]
Maximum Area Problems - By Annie Bedford
The Applet Shows The Effect Of Changing The Length And Width Of A Rectangle On The Area Of A Rectangle. The Graph Shows The Current Area's Position In Relation To The Maximum Area's Position. [View Applet]
The Ratio Test - By Adam Bermingham
"the Ratio Test Is A Test To Determine Whether An Infinite Series Converges Towrards A Point Or Does Not. This Applet Allows A User To Select A Preset Series As An Example Or To Input Their Own Series. The Series Is Then Graphed And The Program Calculates Whether Or Not The Series Converges Etc..." [View Applet]
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