I grew up in PA but didn't go to school anywhere remotely close for any of my degrees, but I have a few friends from high school who went to Pitt (since it was kinda close), so I can say they have (as far as I know) decent literature, economics, and physics departments.
Looking at undergrad is very different from looking at grad school stuff. Knowing what I know now, I wouldn't change a single thing, but it's funny that I made of my "correct" choices without really having the knowledge of schools I do now.
Most undergraduate universities will have pretty generic engineering level math and physics classes (the ones you'll take as a freshman or sophomore). This is because they have to get hundreds if not thousands of students through these courses each year to satisfy university requirements for degrees in engineering, chemistry, biology, math, physics, etc... so most of the time you'll get a cookie cutter class, possibly even in a large lecture hall, taught or co-taught by a TA or two.
Some universities offer specialized "general engineering math" classes as subsections of those courses taught ... like calculus for pre-meds, or calculus for engineers with a lot of weight on analytical geometry, or calculus for math majors, which would include a few elements of real analysis. I'm not sure if Pitt does any of that, but universities that do have that might make the first year or two in your major a bit more personal rather than you being one of the masses in a 100+ student lecture hall.
I went to a university that had an "honors college" containing about 100 students per graduating class. What happened there is that every honors student (regardless of major) took their lower level (100 and 200 level) courses through the honors college. So I basically took all my gen eds through the honors college and most of my minors as well as the first two years of my major. When I took my lower level math and science courses and all my electives, I was given more theoretical lectures on the topics with class sizes ranging from 2 to maybe 7 or 8 students. Honors college students were then "reintroduced" to the normal university population when they started taking 300,400, and 500 (graduate) level courses.
This is another alternative to not being lost in the masses of an undergraduate student body. I had the feel of a very small, private, liberal arts college (which most small liberal arts colleges won't even have a student:teacher ratio of 5:1 like I had during undergrad), but also was able to have access to graduate level courses that wouldn't be available at a private liberal arts college just due to the size and expertise of the faculty at a small school.
Most good universities that have segregated honors colleges are pretty hard to get into (sometimes harder than ivy league schools) ... I think the average incoming SAT of my honors college graduating class was above a 1560, even though the average SAT of the entire incoming undergraduate class was 1250 - 1300 or something that year.
So my end words of advice (other than I've never heard anything negative about Pitt's undergrad ... and it's one of my top choices for graduate school BTW), is that there are a few things you should look for if you're really concerned with how good an undergraduate program is: overall reputation, class size (if you're not a self motivator), class specificity (like if they offer sections of the general classes for math majors, for bio majors, etc...), graduate class availability (like when you get to the level, will you have access to taking grad courses or will there be nothing for you but maybe an independent study like if you were at a small liberal arts college), and also if you're interested in grad school eventually, how good are undergrad research opportunities there.
Good luck, hope I gave you a little bit to think about, you've got this! and update this if you end up going to Pitt, maybe I'll be there next year as a graduate student and can say hi, haha.
