Game programming will more quickly take you down the math rabbit hole than than any other kind of programming. It is always painfully clear that you should know

Game programming will more quickly take you down the math rabbit hole than than any other kind of programming. It is always painfully clear that you should know better math when you run into a simple problem like "find a solution to hit this moving target", or something more complex like "figure out how the inverse kinematics of animal's bones work". For the first problem you could use anything from tight to algebra to calculus to solve it. For the second, you might easily find yourself knee deep in a PDF giving you a "remedial treatment of jacobian matrices"