A) Engineering
B) Design
AB) Design & Engineering course
C) Physics & Astro-
(Any others? What do u think?)
A) office job - doing matlab, solidworks, academic research (lots of areas). Course: mechanical engineering
B) office job - drawing, CAD, Photoshop, rendering, some engineering & manufacturing necessary. No CAE/Matlab. That's for the A) folks. Though you could end up extremely conceptual side of design if you choose to (these jobs are rare). But seeing as you have physics & math, you can use that to stand out from other industrial/"product" designers.
Courses: architecture, industrial/"product" design. Interior design is least engineering based, more arts-aesthetics, & design. You should have fine art + design & technology for this; maths/physics is not preferred. Btw the consumer product you're working on is different for architecture, interior design, industrial. Which one do you want? Do you want to work on buildings & environment? Other products around us (from form & function, with some engineering realisation? Interior layout & furniture & "artistic" interior products.
BC) Types of job would be the same as industrial/"product" design but the course would have more emphasis on materials & manufacturing engineering. This means you have more engineering realisation. You could use this as a selling point. Be careful with this choice though. You may come out lacking drawing & design skills, and if you're to do a traditional industrial/product design role anyway, 90% will be design theory & skills. See /r/industrial design for more info.
C) museum work, academic research (lots of areas, astrophysics;quantum physics; particle physics; mathematical physics; thermodynamics; nanotechn, particle, experimental), programming office jobs. Geophysics
D) With all 3 you have the options of doing something entirely unrelated. Like some banking, management job, or teaching. And if this is something that's important to you cuz u feel u haven't really decided the end day-to-day job I.E. - u have no particular preference towards one of those jobs above, I'd then suggest choose mechanical
You're thinking: what kind of job do I want at the e You like drawing/you're good at drawing and making things?
If so, go down that route.
Physics route
more I'm guessing, and you'd like an office job in design?
Why not product/industrial design?
Maybe you could find a course which incorporates industrial/product design, as well as the engineering realisation aspect.
I did a course that had this in the UK.
It was product design engineering.
I do think architecture would