15-2021.00 · Task explorer
Mathematicians: reported tasks and exploration worksheet
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.
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Read the task inventory
This source lists 12 tasks, including 11 marked Core and 1 marked Supplemental. Labels and dates are retained below. Employers can combine or divide these responsibilities differently; explore the task itself before assuming it belongs in every version of the role.
Task source dates: 08/2025.
12 tasks shown
Core · Task 24002 · 08/2025 · Occupational Expert
Mentor others on mathematical techniques.
Core · Task 7369 · 08/2025 · Occupational Expert
Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
Core · Task 7374 · 08/2025 · Occupational Expert
Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
Core · Task 20191 · 08/2025 · Occupational Expert
Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
Core · Task 7372 · 08/2025 · Occupational Expert
Assemble sets of assumptions, and explore the consequences of each set.
Core · Task 7370 · 08/2025 · Occupational Expert
Perform computations and apply methods of numerical analysis to data.
Core · Task 7373 · 08/2025 · Occupational Expert
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
Core · Task 7376 · 08/2025 · Occupational Expert
Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
Core · Task 7371 · 08/2025 · Occupational Expert
Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
Core · Task 7367 · 08/2025 · Occupational Expert
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Core · Task 7368 · 08/2025 · Occupational Expert
Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
Supplemental · Task 7375 · 08/2025 · Occupational Expert
Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
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Source and practice material
Occupational context uses the O*NET® 31.0 Database from the U.S. Department of Labor, Employment and Training Administration, under CC BY 4.0. View the occupation.
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