Interactive Applets and Calculators
Not only are you surrounded by math, thanks to technology it’s something you can interact with directly. That’s why I’ve created the library of interactive math applets and calculators contained in the subpages on this page.
The interactive applets linked to below are tied to content from Calculus Simplified. (“Bonus” figures are not referenced in the book but are either referenced in the online appendixes or are additional applets I created to further illustrate calculus concepts.) They deal with content found in a typical Calculus 1 course.
I have included a GIF next to the links to give you a preview of what you’ll find in the applet. Click on the GIF to access the applet.
Figure 1.1
Estimating the volume of a sphere by adding up the volumes of inscribed cylinders of decreasing thickness.
Figure 2.1
Visualizing the right-hand limit of a function.
Figure 2.2
Visualizing a function's graph "tending to" a particular y-value.
Bonus Figure
Visualizing the epsilon-delta definition of a limit.
Figure 3.3
Visualizing the slopes of secant lines approaching the slope of the tangent line.
Figure 3.8
Visualizing the graph of the derivative function f'(x) of a quadratic function.
Figure 3.9
Visualizing the graph of the derivative function f'(x).
Figure 3.10
Visualizing the graph of the derivative of f(x)=sin(x).
Figure 4.4
Visualizing the linearization of a function.
Figure 5.3
Visualizing the area under the graph of a function.
Bonus Figure
Illustrating the Riemann sums approach to the definite integral.
The interactive applets linked to below are tied to content from Calculus 2 Simplified. They deal with content found in a typical Calculus 2 course.
I have included a GIF next to the links to give you a preview of what you’ll find in the applet. Click on the GIF to access the applet.
This applet helps you visualize the volume of a solid with known cross-sections.
This applet helps you visualize volumes of solids of revolution via the Disk Method.
This applet helps you visualize volumes of solids of revolution via the Washer Method.
This applet helps you visualize volumes of solids of revolution via the Shell Method.
This applet plots the first 10 terms in a Taylor polynomial (red) for a given function (blue).
Click on the image below (or the title below the image) to access the applet.
Click on the image below (or the title below the image) to access the applet.
(this calculator was referenced in my essay in The Reducetarian Solution)