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Is my golf coach a physical therapist or a physical movement coach? He's been helping me improve my swing around an injury I had dirt biking.

If your golf coach is helping you with your golf swing, I'd say that he's a golf coach.

My grandma once helped me with my math homework, was she a mathematician?

You might get lucky with your golf coach. There are people that went to medical school for that though. Your choice.

She was able to help you though. You don't need a PhD in mathematics to be able to answer some math questions.

Positive human interaction goes a long way.