BA Product Design vs. BEng in Industrial Design?

I have a bachelors in industrial design engineering which is a mix between design engineering and industrial design. In my case, we studied a mix of things like manufacturing techniques, prototyping, statics, mechanisms and frame construction with product design, sketching, research and project planning. The outcome of that were feasible projects compared to what sometimes happens with industrial design concepts which could be far from being manufacturable.

However, I don’t know how your uni works so you better do what Yo suggested. Talking to people who studied there or checking graduation projects from past years would give you an overall idea of what you could do when you graduate. Don’t worry about maths/physics, it shouldn’t be that complicated.