Should I double major?

So I have a bit of a dilemma. I am currently an incoming freshman at UCLA majoring in Applied Mathematics. I was thinking about either changing my major to Mathematics of Computation or specializing in computing, because I want to go deeper into computer science. I found three problems with this idea. The first is that I don’t know if computing and computation is the same as computer science. The second is that I would mostly take Program in Computing(PIC) classes rather than Computer Science classes. The third is that with either of these options I don’t know if I would go deep enough into computer science to satisfy my interest in it. Now, I love mathematics, and I really want to see how it relates to other fields of study including computer science, so I don’t want to just major in Computer Science. Unfortunately, I can’t minor in Computer Science, so that’s off the table too. Double majoring sounds really hard, because you can only take up to 216 units and if I want to graduate in four years(which I do, I’m not rich) I will have to take a lots of units each quarter. I would be willing to take on this work, but I’m just not completely sure if double majoring is the right choice. Also, in case you were wondering I want to join the FBI and become an intelligence analyst. I think these majors would be useful in this career. I might continue my education into grad school before joining the FBI though. Any advice you can give on this topic would be very helpful.