Calculus Animations & Visualizations

 

On this page I have put together a series of animations and visualizations that I found on the World Wide Web which were developed by a number of different math professors around the country and around the world.  I hope that these animations will help you visualize many of the concepts that we will be discussing in Calculus.  The animations are arranged by chapter, section, and subject.

A Preview of Calculus
Rectangular Approx
http://www.ies.co.jp/math/java/calc/kubunqX2jo/kubunqX2jo.html

Introduction to Limits
Limits Visualization http://www.ies.co.jp/math/java/calc/kinji/kinji.html

More On Limits
Limits & Continuity  http://archives.math.utk.edu/visual.calculus/1/index.html

Introduction to the Derivative
Derivative of sine
http://www.calculus.org/Contributions/sine_deriv.mov

Tangent Line http://www.ima.umn.edu/~arnold/calculus/differential/differential-g.html  Douglas N. Arnold UMN  http://www.ima.umn.edu/~arnold/index.html

Zoom In On Tangent Line http://www.ima.umn.edu/~arnold/calculus/tangent/tangent-g.html

Secant Tangent Line http://www.ima.umn.edu/~arnold/calculus/secants/secants2/secants-g.html DNA

Secant Tan Non Diff  http://www.ima.umn.edu/~arnold/calculus/secants/secants3/secants-g.html

Vertical Secant Tangent Line    http://www.ima.umn.edu/~arnold/calculus/secants/secants4/secants-g.html

http://www.ies.co.jp/math/java/calc/limsec/limsec.html

Surf The Derivative http://www.ies.co.jp/math/java/calc/doukan/doukan.html

Left/Right Hand Derivatives http://www.ies.co.jp/math/java/calc/limrl/limrl.html

Implicit Differentiation
http://www.calculus.org/Contributions/implicit_deriv.mov

The Mean Value Theorem and Related Topics
Mean Value & Rolles Theorem  http://www.ies.co.jp/math/java/calc/rolhei/rolhei.html

Optimization Problems
Max Min Inscribed Rectangle In Ellipse  http://www.calculus.org/Contributions/ellipt_rect.mov

Riemann Sums
http://www.calculus.org/Contributions/mid_riemann.mov

The Fundamental Theorem of Calculus
Integration  http://www.calculus.org/Contributions/integral_func.mov

Volume by Discs  Scroll down and click on animation foe shell method

Solid of revolution  http://www.ies.co.jp/math/java/calc/rotate/rotate.html
http://www.ies.co.jp/math/java/calc/renshi/renshi.html 

Shell Method  Scroll down and click on animation foe shell method
 

Another Link With A Number of Interesting Animations

http://www.ies.co.jp/math/java/calc/index.html 

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