^It’s been a few years since I last looked at these requirements. Just took another look. Your interpretations of HMC and MIT requirements seem to me to be correct. However, wrt to Caltech, your interpretation
is off a bit, in a couple of areas:
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Writing intensive courses are all upper level (i.e. advanced) H/SS courses. Freshman-level courses don’t count.
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At least 3 writing intensive courses are required, two of which can be from advance humanity courses. All of them have to be graded.
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Not all freshman-year courses are graded pass/fail. Only the first 2 quarters are and there’re 3 quarters in an academic year. A student can certainly select an H/SS course to be graded P/F in the 3rd quarter if s/he so choose (and use up that option for that quarter).
The most up-to-date information is in its catalog:
http://www.catalog.caltech.edu/current