<p>If you would rather do pure math, then do pure math. As terence said, never settle for a safe major. I am an old guy (relatively that is) and my parents always preached doing things safe and having something to fall back on. I have been in accounting and engineering and today I would be very happy today if I could be teaching math in a high school. As a matter of fact, one of my projects for this summer is to study for alternative teacher certification in math.</p>