: Mathematicians work in two areas: theory and applications. Theoretical mathematicians look for relationships between new math principles and old ones. This can help in science and engineering. Applied mathematicians use math to solve problems in business, government, and everyday life. Many mathematicians teach at colleges and universities.
Bureau of Labor Statistics, U.S. Department of Labor, Occupational Outlook Handbook, 2008-09 Edition at http://www.bls.gov/OCO/