This is how I introduce triple integrals in my Calculus III course:Ībove, the volume of the tetrahedron in the first octant bounded above by the plane \(2x + y + z = 40\) can be thought of as the sum of many small blocks that fill the solid region. In rectangular coordinates, \(dV = dx \, dy \, dz\) is the volume of a "very small" block. That is, the total volume of a solid is the sum of infinitesimally small volumes. The volume of a solid region \(E\) in space can be expressed abstractly as
#MINETEST TOOLS MOD#
Here are some ways I've used the MathPlot mod in educational settings. See the MathPlot project wiki for documentation and examples. I also implemented a similar a activity for Rose-Hulman's Sonia Math Day. So far, I've used this mod to explain triple integrals in Calculus III lectures, and I have piloted its use on a small scale with a class of Calculus III students (Fall 2019) with a last-day-of-class activity. I have authored the MathPlot mod for this purpose. When I learned about Minetest and its modding API, I quickly discovered its potential for systematically generating (large!) structures in the three-dimensional world based on mathematical formulas. True to the spirit of open-source software, one can study the code of existing mods and mimic their functionality. It is designed to be modded easily, with a flexible and well-documented lua API. I was especially drawn to it for its Linux support. It is open-source, free to download / redistribute, and runs on a variety of operating systems. I am excited about using this game as an educational tool, as it possesses some very important qualities: Minetest is an open-source voxel game similar to Minecraft.
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