## Volume of pyramids

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The volume of a pyramid can be approximated by carving the pyramid into slices, and approximating each slice with a rectangular cuboid. To then set it up as a Riemann sum, it helps to orient the pyramid so that we … Continue reading

## Wolfram CDF Player

Some of the pages on this site use the Wolfram CDF Player, which you will need to install if you want to see everything on those pages. I like the player, except for one quality: it continues to run after … Continue reading

## Riemann sum graphics

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For practicing understanding the implications of lefthand vs. righthand (or lower bound vs. upper bound integrals), it's nice to be able to graph a function with a grid suited to the task. I plotted a portion of using Mathematica. f[x_] … Continue reading

## Graphing lines with Mathematica

There are lots of bells and whistles available in Mathematica, but sometimes I like something really plain. For example, I wanted my students to find slope analytically given two points. On graph paper with a full grid, they could count … Continue reading

## Graphing slope fields

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If you are manually graphing slope fields, here are some scalable graphics: Slope field, grid Slope field, grid You can plot slope fields with a solution to the differential equation in Grapher (Mac only). If you haven't used Grapher, it … Continue reading