" the mathematics major (or similar) who feels their knowledge of topics only related to programming in general is satisfactory enough to hit the ground running as a Web developer of all things"
All companies I worked for routinely hired guys like that assuming they will learn on the job. Most did, some did not. In any case, many professional programmers I see studied mathematics, physics or something similar and then changed career.
Edited to add: it is possible that your company can not afford a bit longer learning curve in the beginning. Did not wanted to make it sound like I am accusing you.
I actually thought that big difference between men and women is that men assume they can do tech by default, apply for jobs even as they have minimum qualification or experience and it oftentimes works out.
All companies I worked for routinely hired guys like that assuming they will learn on the job. Most did, some did not. In any case, many professional programmers I see studied mathematics, physics or something similar and then changed career.
Edited to add: it is possible that your company can not afford a bit longer learning curve in the beginning. Did not wanted to make it sound like I am accusing you.
I actually thought that big difference between men and women is that men assume they can do tech by default, apply for jobs even as they have minimum qualification or experience and it oftentimes works out.