Volume Elements
cults3d
These models come in handy when discussing various coordinate systems. In my Multivariable Calculus course, we delve into rectangular, cylindrical, and spherical coordinates. Each model represents a specific "chunk" of space as it would be naturally divided using the corresponding coordinate system. Specifically, they are useful when working with triple integrals. I love passing these models around class to give students a hands-on grasp of each element of volume and understanding ΔxΔyΔz (rectangular) versus ΔzΔrΔθ (cylindrical) versus ΔρΔθΔφ (spherical). Developed using Mathematica software. Also, be sure to check out my Ring Sector Model.
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