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In short, the lack of a proof-based class renders students Calc-clueless. (groan) This happened to me. I went straight from high school calc into college dif
by mturmon 16y ago
In short, the lack of a proof-based class renders students Calc-clueless. (groan)
This happened to me. I went straight from high school calc into college differential equations because the AP score allowed me. It took a Rudin-based analysis course, much later, for me to appreciate proofs of convergence or epsilon-delta arguments, because my H.S. calc did not have them, and the college diff-eq assumed you knew them already. The shock was painful.
Eventually though, you learn what you need to know.
- jgg 16y agoIt took a Rudin-based analysis course, much later, for me to appreciate proofs of convergence or epsilon-delta arguments, because my H.S. calc did not have them, and the college diff-eq assumed you knew them already. The shock was painful. I have yet to take a course that uses the so-called "terse little blue book from hell". (: Eventually though, you learn what you need to know. Indeed, although I wonder about people becoming discouraged about being mathematicians simply because they've been misled for so long about what's on the "other side" of college math.