Be aware that Texas A&M engineering frosh face a secondary admission process to enter specific majors. They need to meet the automatic admission college GPA (was 3.5, now 3.75) or apply into a competitive admission process naming at least three choices of major and write essays. AE and ME were among the more competitive majors recently, according to TAMU ETAM statistics - #172 by pbleigh and following posts.
Remember, a 3.75 college GPA is typically significantly harder to earn than a 3.75 high school GPA.
Purdue and Minnesota have similar secondary admission processes, but their automatic admission college GPA appears to be 3.2. At Minnesota, AE recently admitted applicants down to 2.0 college GPA, although even those majors like ME that did not admit all applicants did not reject that many: CSE Admission to the Major Statistics . Purdue does not seem to publish much information about how selective each major is for applicants below the 3.2 college GPA threshold.