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Description
Conduct research in fundamental mathematics or in application of mathematical techniques to science, management, and other fields. Solve problems in various fields using mathematical methods.
  • • 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.
  • • Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
  • • Perform computations and apply methods of numerical analysis to data.
  • • Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
  • • Assemble sets of assumptions, and explore the consequences of each set.
  • • Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
  • • Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
  • • Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
  • • Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
  • • Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
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Source
Tasks & skills: O*NET occupational data (work activities, skills, knowledge). Learn more
Sources & Standards: This site includes information from O*NET by the U.S. Department of Labor, Employment and Training Administration (USDOL/ETA), used under the CC BY 4.0 license. Career Clutch has modified some of this information for student readability. USDOL/ETA has not approved, endorsed, or tested these modifications. O*NET® is a trademark of USDOL/ETA.
Last reviewed: Jan 2026
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