1. Virginia
2. Penn State
3. Purdue
4. Nebraska
...by overall academic reputation, of those you listed in the U.S. How college administrators rank other universities is a pretty good guide, IMO. As far as the Math departments, I can't say, but Purdue has one of the highest regarded Engineering departments.
Not sure about the location of U of Virginia... Penn State is in the middle of nowhere, not good access to major highways. Nebraska is in the state capital, but it's not a major city, but not far from Omaha (airport). Purdue is the only one of the four I've visited. It has a strange campus, I think. Most of the dormitories are separated from campus by a moderately large neighborhood of private residences that have been converted to "off-campus" housing. But the academic areas of campus are pretty. It's not terribly far from Chicago or Indianapolis, but traffic from Chicago's airport could be nerve racking.
2. Penn State
3. Purdue
4. Nebraska
...by overall academic reputation, of those you listed in the U.S. How college administrators rank other universities is a pretty good guide, IMO. As far as the Math departments, I can't say, but Purdue has one of the highest regarded Engineering departments.
Not sure about the location of U of Virginia... Penn State is in the middle of nowhere, not good access to major highways. Nebraska is in the state capital, but it's not a major city, but not far from Omaha (airport). Purdue is the only one of the four I've visited. It has a strange campus, I think. Most of the dormitories are separated from campus by a moderately large neighborhood of private residences that have been converted to "off-campus" housing. But the academic areas of campus are pretty. It's not terribly far from Chicago or Indianapolis, but traffic from Chicago's airport could be nerve racking.