Tasks & work activities — mathematician

Source: O*NET 30.3, occupation 15-2021.00 (Mathematicians).

Task statements

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

Analyze data to identify trends or relationships among variables.
Analyze security of systems, network, or data.
Apply mathematical principles or statistical approaches to solve problems in scientific or applied fields.
Collaborate on research activities with scientists or technical specialists.
Design computer modeling or simulation programs.
Determine appropriate methods for data analysis.
Develop computer or information security policies or procedures.
Develop scientific or mathematical models.
Prepare analytical reports.
Present research results to others.
Provide technical guidance to other personnel.
Review professional literature to maintain professional knowledge.
Update knowledge about emerging industry or technology trends.
Update professional knowledge.