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>>> I hated higher level mathematics specifically because I couldn't see any use for it. That's why I loved it. But I think this is a dilemma of teaching any number of subjects: How to convey both the useful aspect and the intrinsically interesting aspect, for lack of a better term.
You loved something because you didn't see any use for it ?
But you kind of get to a point after a couple years or so where you've learned enough math to handle the physics coursework -- including being able to pick up new math topics quickly as needed. And that's also the point, like 3rd year, where math really begins to come alive as an end unto itself. I loved the abstract stuff and the beauty of proofs, and it was as much of an escape from reality as a way to engage with it.