[mattbrewsbytes]

No you won't need a degree to get started in software development. However, for computer science don't think of the degree as just a piece of paper some employers look at, there are some key courses that help build a foundational understanding of how computers work at the lowest levels, like assembly.

This might be important if your interest is in compiler development since that deals directly with how to optimize things with the CPU, stack, etc.

Maybe you should go get a meeting setup with the person in charge of CompSci department and see if they can persuade admissions or give you advice.

The vast majority of coders are working on Information Systems and you don't need a CompSci degree for that or any special math skills. It is just what some people call "CRUD apps" but the fun part with these is really helping non-technical folks do things and be efficient. Sciency based CompSci jobs are the minority.

Side topic: why is Mathematics called "maths"? across the pond its always been "math"