Calculus Simplified
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.)
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.