Mathematicians are employed in academia, government, and the private sector to solve problems using mathematical formulas. They work on teams with engineers, scientists, and other math professionals. Mathematicians conduct research to develop and understand mathematical principles and create models to solve practical problems in fields such as business, government, engineering, and the sciences. Mathematicians analyze data and apply mathematical techniques to help solve real-world problems. They recognize previously unknown relationships between known mathematical principles. Mathematicians may develop computational methods and computer codes.