Yes, always play dual-class, so to say. For every pair of important fields X and Y, there are numerous people who can do X very well but can't do any Y, and vice versa. If you do both X and Y well enough, you are at a huge advantage.

Trivially, being good at frontend coding and at UX design (cognitive aspects, etc) helps. Being good at designing software and being good at talking the language of your business is super helpful, this what's required at the director / VP Eng level.

And yes, do take the math. After just 2 years of university math (as an embedded systems major, I had to later study myself to grab some missing algebra, some category theory, etc, to grasp SICP on one hand, and Haskell on another. This helped me become seriously better at writing and understanding code in industrial languages.

I will say that I noticed sometimes the honors courses, in college, were taught by the absolute worst professors.

I have a theory it was because, "they are honors students, they'll learn the subject regardless, and we need to put this bad teacher SOMEWHERE".

I once got out of a differential equations honors class because it was very obvious the first week, that the teacher was awful. Later, my fellow honors students told me how "lucky" I was to have switched. They were suffering through the course, while I was learning and enjoying my new class.

Never went to college but I can agree with everything you said. I would add to actually go out and build something. A portfolio is immense and has opened doors for me otherwise that never would be.

Could you expound on #4 some more?

Would you recommend a specific branch of math?(discrete, linear algebra, etc.)

Also, which math or general skills/fundamentals would you say has helped you the most when implementing compilers?

I've followed the same path, out of curiosity do you mind if I PM you asking a few questions? I'm a couple months out of undergrad and I'd like to pick your brain a bit.

sure