Purdue:
https://www.admissions.purdue.edu/apply/highschoolcourses.php
“Students interested in applying for technical programs (engineering, science, health-related majors, technology, and agriculture, etc.) should take as much advanced coursework as possible in math and science (pre-calculus, AP/IB Calculus, AP/IB Biology, AP/IB Chemistry, and AP/IB Physics).”
While they may not require calculus, with the strong applicant pools that most of these engineering schools have the percentage of successful applicants who have taken AP Calc is probably quite high.
I suspect that the colleges do this because applicants with stronger backgrounds in math and science have a higher graduation/success rate.
Also, while Penn does not require Calc for SEAS and Wharton, their version of Calc I assumes AP Calc AB. If you need to take the AP Calc AB equivalent course, it will not count toward graduation requirements.
Penn names the courses differently. Its calculus 1 (104) is what other schools call calculus 2. What other schools call calculus 1, Penn calls introduction to calculus (103).
https://www.math.upenn.edu/undergraduate/courses/descriptions
A common engineering admissions speech:Take the highest level of math available at your school.
Students tend to enter having completed the equivalent of AB, BC or multi-var calc. Everyone adjusts to fit into their major learning that college math courses are much more theoretical.
At the same university, Calc I can be differential calc in the College of Arts and Sciences, but might also be a prerequisite course for the Calc I math sequence required at the Engineering College. Schools have different math curriculum level starts and stops for Calc I through IV.
http://math.mit.edu/academics/undergrad/first/calculus.php MIT has a catch-up option for freshman without BC calc.
Actually, that link indicates that the basic option 18.01 and 18.02 does not assume AP credit (high school algebra and trigonometry are listed as prerequisites), and is not a proof-heavy course. However, it is accelerated, covering in two semesters what most other schools cover in three semesters. Students with a 5 on BC can go directly to 18.02 (or 18.022 with some additional stuff). Students with a 5 on AB can take the 18.01A and 18.02A sequence that initially starts as a rapid review.