At UGA, graduate students in Mathematics are put into teaching roles by our second year, so the department provides training courses for us in our first year. As a part of this training course, we chose various topics from Multivariable Calculus to present, so we could receive feedback on our lecturing styles.

This write-up is a quick refinement of the talk I gave, which was on computing moments and centers of mass of solid bodies. I found the treatment in most Calculus texts to be unmotivated – it’s a travesty that it’s often divorced from the notion of moments from probability theory, which recover familiar concepts such as the expected value and variance.

With that in mind, I tried to approach it in a slightly different way.

Hope you all enjoy the read! Feel free to let me know if you have ideas for improvements or any feedback.

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