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For questions related to teaching mathematics. For questions in Mathematics Education as a scientific discipline there is also the tag mathematics-education. Note you may also ask your question on http://matheducators.stackexchange.com/.

22 votes
4 answers
5k views

What is the best way explain to undergraduates that all 1-dimensional manifolds are orientable?

I am teaching a third-year curves and surfaces course, and what I am looking for is the following. Suppose you don't know what all the connected $1$-dimensional smooth manifolds are. …
Spiro Karigiannis's user avatar
7 votes

References for "modern" proof of Newlander-Nirenberg Theorem

In my continued searches for modern proofs of Newlander-Nirenberg, I found this great source: it's "Applications of Partial Differential Equations to Some Problems in Geometry", a set of lecture notes …
37 votes

Do names given to math concepts have a role in common mistakes by students?

My favourite is this: some books use "completely reducible" for semi-simple and "irreducible" for simple. As a result, every irreducible module is completely reducible.
27 votes
5 answers
7k views

References for "modern" proof of Newlander-Nirenberg Theorem

Hi, I'm starting to prepare a graduate topics course on Complex and Kahler manifolds for January 2011. I want to use this course as an excuse to teach the students some geometric analysis. In particu …