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Careers / Mathematicians |
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| Summary Description |
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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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| Sample Job Titles |
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Agent-Based Modeler |
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Algebraist |
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Applied Mathematician |
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Cipher Expert |
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Computational Mathematician |
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Computational Physicist |
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Computational Scientist |
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Consultant |
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Cryptanalyst |
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Cryptographer |
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Cryptographic Vulnerability Analyst |
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12. |
Director of Quantitative Research |
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Emerging Solutions Executive |
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Engineering Mathematician |
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Geometrician |
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Image Scientist |
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Knowledge Engineer |
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18. |
Lead Simulation Modeling Engineer |
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19. |
Mathematician |
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Nanotechnologist |
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Numerical Analysis Group Manager |
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Research Computing Specialist |
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23. |
Research Scientist |
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24. |
Scientist |
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25. |
Technical Fellow |
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| Job Tasks |
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Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
- Determine appropriate methods for data analysis.
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Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
- Apply mathematical principles or statistical approaches to solve problems in scientific or applied fields.
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Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
- Design computer modeling or simulation programs.
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Assemble sets of assumptions and explore the consequences of each set.
- Analyze data to identify trends or relationships among variables.
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Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
- Update knowledge about emerging industry or technology trends.
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Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
- Analyze data to identify trends or relationships among variables.
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Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
- Present research results to others.
- Prepare analytical reports.
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Perform computations and apply methods of numerical analysis to data.
- Analyze data to identify trends or relationships among variables.
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Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
- Analyze security of systems, network, or data.
- Develop computer or information security policies or procedures.
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Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
- Develop scientific or mathematical models.
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Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
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| Work Activities |
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| Interacting With Computers —
Using computers and computer systems (including hardware and software) to program, write software, set up functions, enter data, or process information. |
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| Analyzing Data or Information —
Identifying the underlying principles, reasons, or facts of information by breaking down information or data into separate parts. |
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| Making Decisions and Solving Problems —
Analyzing information and evaluating results to choose the best solution and solve problems. |
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| Getting Information —
Observing, receiving, and otherwise obtaining information from all relevant sources. |
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| Thinking Creatively —
Developing, designing, or creating new applications, ideas, relationships, systems, or products, including artistic contributions. |
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| Processing Information —
Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying information or data. |
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| Updating and Using Relevant Knowledge —
Keeping up-to-date technically and applying new knowledge to your job. |
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| Communicating with Supervisors, Peers, or Subordinates —
Providing information to supervisors, co-workers, and subordinates by telephone, in written form, e-mail, or in person. |
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| Estimating the Quantifiable Characteristics of Products, Events, or Information —
Estimating sizes, distances, and quantities; or determining time, costs, resources, or materials needed to perform a work activity. |
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| Identifying Objects, Actions, and Events —
Identifying information by categorizing, estimating, recognizing differences or similarities, and detecting changes in circumstances or events. |
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| Documenting/Recording Information —
Entering, transcribing, recording, storing, or maintaining information in written or electronic/magnetic form. |
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| Interpreting the Meaning of Information for Others —
Translating or explaining what information means and how it can be used. |
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| Organizing, Planning, and Prioritizing Work —
Developing specific goals and plans to prioritize, organize, and accomplish your work. |
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| Provide Consultation and Advice to Others —
Providing guidance and expert advice to management or other groups on technical, systems-, or process-related topics. |
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| Training and Teaching Others —
Identifying the educational needs of others, developing formal educational or training programs or classes, and teaching or instructing others. |
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| Developing Objectives and Strategies —
Establishing long-range objectives and specifying the strategies and actions to achieve them. |
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| Communicating with Persons Outside Organization —
Communicating with people outside the organization, representing the organization to customers, the public, government, and other external sources. This information can be exchanged in person, in writing, or by telephone or e-mail. |
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| Establishing and Maintaining Interpersonal Relationships —
Developing constructive and cooperative working relationships with others, and maintaining them over time. |
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| Scheduling Work and Activities —
Scheduling events, programs, and activities, as well as the work of others. |
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| Developing and Building Teams —
Encouraging and building mutual trust, respect, and cooperation among team members. |
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| Guiding, Directing, and Motivating Subordinates —
Providing guidance and direction to subordinates, including setting performance standards and monitoring performance. |
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| Coordinating the Work and Activities of Others —
Getting members of a group to work together to accomplish tasks. |
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| Coaching and Developing Others —
Identifying the developmental needs of others and coaching, mentoring, or otherwise helping others to improve their knowledge or skills. |
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| Monitor Processes, Materials, or Surroundings —
Monitoring and reviewing information from materials, events, or the environment, to detect or assess problems. |
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| Judging the Qualities of Things, Services, or People —
Assessing the value, importance, or quality of things or people. |
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| Evaluating Information to Determine Compliance with Standards —
Using relevant information and individual judgment to determine whether events or processes comply with laws, regulations, or standards. |
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| Resolving Conflicts and Negotiating with Others —
Handling complaints, settling disputes, and resolving grievances and conflicts, or otherwise negotiating with others. |
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| Performing Administrative Activities —
Performing day-to-day administrative tasks such as maintaining information files and processing paperwork. |
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| Monitoring and Controlling Resources —
Monitoring and controlling resources and overseeing the spending of money. |
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| Selling or Influencing Others —
Convincing others to buy merchandise/goods or to otherwise change their minds or actions. |
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| Nature of the Work |
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| Working Conditions |
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| Interesting Fact |
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| At 5:00 a.m. on Sunday, September 3, 1967, the entire nation of Sweden switched from driving on the left to driving on the right. |
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| Did you know... |
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| The Salary Calculator reports average wages by career and by specific location! |
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