This is a great point. You have to consider directed versus serendipitous need. Most advanced careers are being invented at a rapid pace, and also roles change.

This is a great point. You have to consider directed versus serendipitous need. Most advanced careers are being invented at a rapid pace, and also roles change. We have no idea what math an engineer in 2030 will need to know every day. I have no idea what title I’ll have in 5 years. Better to know the math and not use it for your particular role, than be unqualified because you can’t