It is often echoed that mathematicians make excellent software engineers, and that their logic-adjacent work will translate efficiently into coding and designing.
I have found this to be almost universally untrue. I might even say the inverse is true.
While I and many of my peers have capacity to navigate the mathematical world, it certainly is not what sets us (at least me) apart when designing clever algorithms and software tricks.
Point being: I dont think the property/trait that makes good programmers is mathematical literacy.
I would love to hear what others experience is regarding this.
Yeah, I think you’re already on the right path with that, those are good basics for anything computer science related (and usually required classes if you take CS in college). Perhaps add Numerical Analysis to that list.
Also, Operations Research has some interesting optimization algorithms, and Statistics is useful for anything related to Machine Learning.