How can I tell whether I want to change degrees or just escape a module I'm struggling with?

Dad looked at the transfer form and said, "You loved engineering until the equations got hard." That stung partly because last week I spent an hour staring at a differential-equations problem and then spent the next hour looking at industrial-design courses.

I'm finishing my first year of engineering. I still enjoy the circuits lab, especially finding out why something I built doesn't work. I dread most of the maths homework. The design course appeals to me because I imagine making things, but a student I spoke to showed me a project with weeks of research and several rounds of criticism before the final model. I haven't done that kind of work either.

My adviser gave me a provisional estimate that transferring could add a semester. We haven't mapped the modules yet. Dad is covering my fees on the understanding that I finish the degree we agreed to fund; he hasn't said he would pay for the extra time. I could delay the decision for a term, but that could also affect which classes I can enter.

I have an open studio visit next week and a maths-help appointment before that. What should I try to find out at each, so I can explain a transfer as more than running from one difficult subject? I don't want to stay only to prove Dad wrong, either.