You can also choose to pass the FE exam to qualify for the patent bar; most states require a BS in engineering to take the FE exam, but not all, and an FE pass in a state that doesn't still qualifies.
One interesting and controversial one is that mathematics courses are excluded from patent prep (i.e., mathematics is specifically excluded from the list of courses that qualify you for the patent bar[1]).
https://www.math.utah.edu/~palais/grb.pdf
https://www.math.utah.edu/~palais/usptovsmath.html
[1] perhaps this is why mathematics dressed up as something else often gets patented, because the patent bar specifically and deliberately excludes people with strong math backgrounds from the profession.