Is software development a branch of engineering or mathematics? I'm ok with them forcing me take additional coursework to pass the FE exam as long as they also

Is software development a branch of engineering or mathematics? I'm ok with them forcing me take additional coursework to pass the FE exam as long as they also have to go back to school and take a year of real analysis, a year of abstract algebra, and a semester of complex analysis. I'd prefer to see number theory, with proofs, as well. I'm sure we can come up with a difficult and expensive comprehensive exam as an extra hurdle. This has about as much to do with software "engineering" as the FE exam.