Which gameplay systems would require you to know advanced math?

Well, basically, two character types, one is just a brute with limited mobility, but uses a flashlight, can lean to get a better shot, equipped with a rifle, handgun, grenade, melee kill. Basically your generic fps.

the other class, can climb ledges, take cover, sneak, etc. think assassin’s creed with guns, I guess. I am not too worried about the ledge system, as I will probably buy the alex3d ledge system.

I am going to use ikinema, if that means anything to you.

My only concern is aerial assassinations (how do I implement this? I assume I will have to use math to calculate when an enemy is below me, then execute the kill animation at a certain distance from the enemy), lighting (I need to calculate how much light is shining on a character), turning sound from within a 20 ft radius into a visualizer (shotgun goes off, visualizer(sound meter) displays how much sound was generated), and potentially creating an air drone that can be user controlled. That is basically all I can think of at the moment.

this is just a small multiplayer game, with bot backfilling (ai replaces empty player slots in a match).