<p>When I was going to CSULA, Applied Math is an MS program. I know because I applied for it. They only have Math or Pure Math for BS. When you say “purest analytical skills”, you are saying something like “pure” math. “Pure” translate to something that is not practical. Engineering is all practical. It is all about finding a solution that is practical in nature, for example, building a bridge, or creating electricity out of nuclear reaction. Einstein is not an engineer, he is a purist, he deals with abstract things. He never had a laboratory to experiment if e = mc^2 prove the theory of relativity, he knew it by abstraction, pure thought.</p>