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| Task | Importance |
|---|---|
| Mentor others on mathematical techniques. | 85% |
| Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences. | 85% |
| Develop new principles and new relationships between existing mathematical principles to advance mathematical science. | 82% |
| Disseminate research by writing reports, publishing papers, or presenting at professional conferences. | 81% |
| Assemble sets of assumptions, and explore the consequences of each set. | 80% |
| Perform computations and apply methods of numerical analysis to data. | 78% |
| Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols. | 77% |
| Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic. | 75% |
| Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation. | 73% |
| Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields. | 73% |
| Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry. | 64% |
| Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code. | 55% |