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Mar 20, 2011 at 9:59 comment added Charlie Frohman I am with you. A first course in Differential Geometry should be very concrete. Generally, what I am up against is that the students have very little experience with multivariable calculus, and they need to be forced to work lots of concrete examples, so that they can get that into their heads.
Mar 20, 2011 at 1:41 history answered Deane Yang CC BY-SA 2.5