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Unfinished

In both my classes this term (Multivariable Calculus and Abstract Algebra) I've had to pick and choose what to cover in the last few class meetings. There are many related topics to choose from; when I took these classes we had two semesters and the greater amount of time really broadened my understanding of the material.

Ideally this is how every class should end; we should just run out of the allotted time but never out of things to talk about.

One of the things that I value most about having studied math more than my students is the sense that things are simpler in a fundamental sense when you have more examples to play with. There are more commonalities than we can talk about with our undergraduates; for me Category Theory unites all of algebra, etc.

I also have more confidence than my students. Sometimes that appears as confidence in myself but I think it is more confidence in the math, that the things work out if you're careful.

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