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skillfactor-pipeline/skills/mathematician/references/tasks.md
skillfactor-pipeline af05383bb1 chore: v1 baseline - full 3,039-package catalog with AI-skill enrichment and O*NET backfill 
Snapshot before the quality program (relevance gates, tiered mapping,
QA linter). v1 is the immutable before/after reference; evidence crawl
was at ~175/3039 occupations when tagged.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01PDKeXvpT6tENSvyQGLV1Uq
2026-07-09 05:32:49 +02:00

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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.

Detailed work activities

  • 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.