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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][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] What do you mean? I just gave a task to compare the courses yourself; you can't disagree with that. If you want to refute me, find a comparable course at a VA school outside UVA (or MD school outside MD, etc), ignoring other elite schools of course.[/quote]

In the thread it was asserted that "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.  This was asserted without evidence so it can also be dismissed without evidence.  The burden is not on me.[/quote] The evidence is that in VA, a state with many strong universities, only UVA (the highest ranking school) has a comparable freshman math course.[/quote]

Show us the courses that you say are and aren't comparable.  [/quote] The comparable course  sequence is 1315/3315 at UVA. Even 2315 uses Williamson and Trotter, which is easier than Cornell's text by Hubbard and Hubbard, but they still are comparable. Every other freshman math sequence at every other VA school is not comparable.[/quote]

What makes the standards at VT, W&M, W&L etc. lower in your view?  [/quote] I don't know about the standards for the comparable courses (although I doubt they're at the level of the Ivy+ basic calculus classes I linked above), but the reason I said their sequences are not conpara is because none of them have a proof-based multivariable calculus and linear algebra freshman math sequence like Cornell (and similarly ranked institutions) and UVA (and UGA and UMD as a matter of fact).

You may use this as a canary in the coal mine for rigor throughout the later years of the math program - if you have such a rigorous course for freshmen, you likely have further upper level courses to challenge that course's graduates as sophomores and juniors.[/quote] To nitpick, UGA's course (3500H) isn't technically listed as a freshman course like UVA's, UMD's, and Cornell's is, although freshman with BC credit can take it.

The reason that matters is that if it didn't, any school that doesn't enforce prerequisites would automatically be seen as better than those that did, regardless of the actual rigor of their respective typical freshman/sophomore/etc courses.[/quote]

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