Career Paths in Computers
I recently graduated from high school and it's time to pick a career(s). I love math, physics, and programming. For math and physics, the path is simple: Applied Mathematics and Physics. However for computers, there are more than four different paths:
1. Software Engineering (Sounds like what I want to do)
2. Computer Engineering
3. Hardware Engineering (Probably not because it won't have to do with programming)
4. Computer Science
5. There probably is something else but I don't know the name for it lol.
I was thinking two majors, Applied Math & Physics and one from the list above, but I don't know which one. Can someone tell me the difference between all of them? Thanks in advance!
P.S: This is in the United States.