That's not quite how engineering works, it was kinda in the past where they where also draftsmen but that's not really how it is.
It's more nitty-gritty than than that; like analysing how fluids/heated fluids flow in different shaped pipes and mathematical models for real system analysis.
For something that doesn't need to be applied in the real world, you'd genuinely do better visually studying the subject (and different forms of it) than studying how the spring-damper system eliminates oscillations or some shit.
The course I'm looking at sounds interesting though, it's 50/50 with architecture and design in a really, really good school.
I'll speak to my advisor, I'm almost set on transfering.