Task statements

  • Mentor others on mathematical techniques.
  • Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
  • Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
  • Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
  • Assemble sets of assumptions, and explore the consequences of each set.
  • Perform computations and apply methods of numerical analysis to data.
  • Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
  • Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
  • Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
  • Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
  • Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
  • Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.

Career and skills data: O*NET 31.0 (onetcenter.org). Figures are published survey estimates, not real-time market data.