For which sports specifically? Nowadays, "functional" strength is specialized and would help if you competed in any event.
Strength and conditioning coach, personal trainer, PE teacher have slightly different educational and experience background but kinesiology and physiology would be a good place to start.
However, since you mentioned "strength coach" at the end, then I would go and speak with a good college football team's staff coaches. What I've discovered is that universities don't teach power or explosive movements in PE classes to students. You often get that training from being involved with football, possibly wresting, competitive weight lifters, track, gymnastics, and other power sports. Sports science is relatively new compared to Chemistry or Physics and is changing constantly. The National Strength and Conditioning Association might be helpful too. Anyways, good luck in your life and live it well.