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Teaching during a pandemic I.

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Author’s note: This blog post is an effort to record, perhaps just for myself, some of my experiences teaching during the spring of 2020, as higher education rapidly transitioned to remote learning in the face of the coronavirus pandemic. I have numbered this "I." as I may write more of my thoughts about approaches to teaching for the fall in the coming months. The opinions expressed herein are entirely my own, and do not represent the views or policies of Rutgers University or its Department of Mathematics.   The spring semester of 2020 was always going to be a bit rough for me, though nothing could have prepared me for the difficulty the semester would actually present. It would begin with a difficult job search, probably include some stressful travel, and somewhere in there I would have to find time to restart to my research program. It would also be the last semester of my three-year postdoctoral position at Rutgers University, a place that I have come to deeply value and...

Flattening the curve and the third derivative

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Caveat lector: I am not an expert on epidemiology, mathematical biology, or even applied mathematics in general. I am a pure mathematician , but I am also a math teacher, and at the undergraduate level that often means teaching calculus. It is that experience which informs the thoughts below. There is an anecdote that sometimes gets told in freshman calculus classes which I'll call "Richard Nixon and the third derivative". It goes something like this: While running for re-election in 1972, President Nixon sought to reassure the nation by announcing that the  “ rate of increase of inflation was decreasing ” . To understand the context of this story in the classroom, it’s worth knowing a little bit about differential calculus, the mathematical study of rates of change. Suppose you have a quantity which changes over time. The rate at which that quantity changes is called its derivative . For example, if the original quantity describes the distance an object has traveled fro...