quadruple major

Will you need financial aid, or can your family pay $60,000/year? Boston University is known for not giving very much financial aid.

One thing you need to remember is that, outside of engineering which is sequential, many SUBJECTS allow you to take a couple classes without majoring in them.
So, your first two years, you’ll have about 9-10 classes per year:
Year one would be: 3 English/humanities/social sciences/art, 2 calculus, 2 physics, Engineering seminar (for 1st semester students) and intro to engineering/CS classes, plus perhaps some kind of “activity”/phys ed class for stress relief.
Year two would be 1-2 gend ed, 4 math/science, 4 engineering. Then you’d start branching out.
For example, at Georgia Tech:
http://www.me.gatech.edu/files/ug/program_of_study_meip1516.pdf
https://www.ece.gatech.edu/sites/default/files/documents/undergrad/curriculum_charts_cmpe_2015-2016.pdf
Note that the first year is exactly the same and the second year has 60% overlap.
This is an example from Penn State:
http://www.ee.psu.edu/Undergraduate/ProgramInfo/orangeprogramflowchart.pdf
https://www.engr.psu.edu/FlowCharts/ME_OptionA.pdf

Why BU though?
it’s expensive, very stingy with financial aid, and it’s not especially known for its engineering.

Great first post. Bravo