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Almost all schools and universities have different criteria for what is considered 'high-school' / 'undergrad' / 'post-grad'. I've seen calculus treated as a po
by fao_ 9y ago
Almost all schools and universities have different criteria for what is considered 'high-school' / 'undergrad' / 'post-grad'. I've seen calculus treated as a post-graduate subject, and as a high-school subject -- the same concepts, no less.
- btilly 9y agoCalculus as a post-graduate subject? That would either be real analysis, in which case "the same concepts" is a highly misleading description at best, or else it was not a math department. That said, browsing a syllabus for a real analysis course, you could be pardoned for thinking it was the same material as a Calculus course. You would be wrong, but you will see a lot of the same keywords. The difference is that things which are claimed in the Calculus course, such as the mean value theorem, actually get rigorous proofs from the 13 standard axioms for the real numbers. The first 9 being the usual rules of arithmetic for fields. The next 3 make it into an ordered field. And most of the attention goes to the 13'th axiom, If a non-empty subset has an upper bound, then it has a least upper bound.