And in terms of engineering, that first job is not going to really depend on the university attended. I have shared numerous times on CC that our oldest ds attended a small public tech university. He co-oped alongside students from schools like GA Tech, VA Tech, and NCSU. At graduation, all 4 students students were not offered jobs by that corp, but my ds was, even though he attended a school only ranked regionally and not nationally. Obviously that corp was far more focused on actual performance than where the co-op students attended school. (Of course they recruited co-op students from ds’s university b/c the school is well respected in industry, though CC posters would probably warn students to run the other way b/c it is no where “ranked” close to Alabama. 
)
FWIW, he did not go to work for that company when he graduated (though that was not an easy decision, b/c he thought it was a great company.) He works for a top 10 global chemical company. He was hired in at the same salary that all 1st time engineers are hired in at. He works with chemEs from across the “university” spectrum. Performance is what controls where they go within the corp, not school name.