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[quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous]I’m just happy that people aren’t putting 3 at the top. There’s too many PhDs coming out of the Ivy league, let alone the rest of the T50, to even begin suggesting that there’s some extreme difference in education. Unless your kid is on the bounds and is highly highly intelligent (like top 0.001%) where they need specialized/accelerated instruction to the level of grad school near freshman year, you’re probably receiving a very similar education to others.[/quote]
Even a standard freshman course like math 2230 at Cornell will exceed the level of rigor of any freshman math course at most lower ranked universities[/quote]

Cite?[/quote]https://math.cornell.edu/lower-level-courses (scroll to bottom)

https://pi.math.cornell.edu/~allenk/courses/14/2230/

Compre this to the freshman math options at most other lower ranked schools (e.g. any VA school besides UVA)[/quote]

I don't think this is true.[/quote]

DP. Why do you doubt it? The most elite schools are known for having more challenging coursework, stem and humanities. Any professor will tell you that. Professors have written about it. Not cornell, but one student of ours takes second semester calculus at a different ivy versus one taking the equivalent at a non-flagship in VA: they are night and day. They both are equivalent to BC calc, are the “regular “ versions (the ivy has an even more difficult proof based version) and they cover almost the same topics, yet the ivy has several topics not in the state school curriculum, and the psets /quizzes/exams are much different, with the ivy much more difficult . For people who study math or are in mathematics-heavy fields, it is not subtle how much harder the ivy is. I do not have one at UVA to know where uva falls on the spectrum of difficulty. [/quote]

Where is the actual evidence?[/quote] The commonness of extremely rigorous proof-based math courses intended for first semester students at top universities, compared to their rarity elsewhere. Just about every T20 has one.

You can also look at the finals for the lowest level, easiest math courses (which are often several levels below the most rigorous freshman classes):

Precalc final at Princeton: https://exams.math.princeton.edu/syllabus/mat103/precalculus

One-semester combined calc 1 and 2 final at MIT: https://ocw.mit.edu/courses/18-01sc-single-variable-calculus-fall-2010/pages/final-exam/

Calc 2 final at Princeton: https://web.math.princeton.edu/~nelson/104/F02ans.pdf[/quote]

DP. We reviewed syllabi when our first was applying to colleges, at the urging of our college professor family member who has taught at T10s and T55-60. The course offerings are more rigorous, indeed as pointed out by other posters above and on other threads , at almost all T20s. Not sure why this is surprising to anyone. The student body makeup skews much further to the top-1% students; these students are the future of intellectual thought in whatever fields they choose. Of course the top schools need these courses, and their “regular “ intro courses are also more rigorous. The vast majority of professors are about the same—it is the student level that determines how hard the professors can push the pace and depth of coursework [/quote]
You'd be surprised by how underwhelming the math talent is at most T20s. It's just that Princeton swallows all the students interested in math academia and MIT the competitive math students. Harvard has math geniuses, but they're 2% of the math students. The rest are very very average.[/quote]

So, by your logic there are only like 200ish kids in any college class in the entire country with any math talent I guess?

How would 99% of us be underwhelmed…99% of us can barely remember how to do any basic calculus because we never needed it past HS/college.[/quote]

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