Along with most of the health sciences, the programs I mentioned above, like info science, education, psych, social work, etc can hang with some of the best programs in the country…public or private…top 10-20-30ish range.
I’m not personally familiar with math and physics, but I’d say they’re not quite of that caliber at Pitt, although they’re solid enough…like around 50ish. In fact I think Pitt’s grad program in physics is ranked 50th in US News, so that is an indication of the level of faculty.
I will say that back in the 50s and 60s, Pitt had one of the stronger physics departments in the country, including one of the top nuclear physics lab that had, at the time, perhaps the best Van de Graaff partical accelerator in academia. It has a tradition in nuclear physics because one of the largest companies in the nuclear industry, Westinghouse, was founded and based in Pittsburgh. It’s had some pretty amazing names associated with it too: Samuel Langley, one of the pioneers of aviation and astrophysics; Reginald Fergussen, regarded as a father of radio broadcasting; Lee Davenport, who helped pioneer early radar; Vladimir Zworykin, considered by many to be the father of television; John Wistar Simpson, a nuclear energy pioneer, and Paul Lauterbur, who invented the MRI.
In the intervening years, the physics department stagnated a bit, but in recent years it seems to be finding a niche in nanoscience (in collaboration with the engineering school) and particle physics. I will say this about the astronomy component of the department…there are few, if any, departments in the country, where undergrads have access to an observatory like the one available to Pitt undergrads. Pitt’s Allegheny Observatory is a historic, and still functioning (doing real research) observatory located just a couple miles from the main campus in a city park. It isn’t mothballed or relegated to mere show-and-tell exercises like those at most universities. Pitt has many undergrads doing research projects in the observatory, and that is an opportunity for time and experience on older, but still valuable telescopes that I don’t believe undergrads would find anywhere else in the country.