This occupation is part of the Computer and Mathematical cluster

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About the Job
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.
It is also Called
 Technical Fellow
 Scientist
 Research Scientist
 Research Computing Specialist
 Numerical Analysis Group Manager
 Nanotechnologist
 Lead Simulation Modeling Engineer
 Knowledge Engineer
 Image Scientist
 Geometrician
What They Do
 Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
 Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or lawenforcementrelated information in code.
 Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
 Perform computations and apply methods of numerical analysis to data.
 Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
 Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
 Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
 Assemble sets of assumptions and explore the consequences of each set.
 Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
 Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Interests
People who work in this occupation generally have the interest code: ICA.
This means people who work in this occupation generally have Investigative interests, but also prefer Conventional and Artistic environments.
Work Values
People who work in this occupation generally prize Achievement, but also value Recognition and Working Conditions in their jobs.
Things They Need to Know
 Mathematics  Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
 Computers and Electronics  Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
 English Language  Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.
 Engineering and Technology  Knowledge of the practical application of engineering science and technology. This includes applying principles, techniques, procedures, and equipment to the design and production of various goods and services.
 Physics  Knowledge and prediction of physical principles, laws, their interrelationships, and applications to understanding fluid, material, and atmospheric dynamics, and mechanical, electrical, atomic and sub atomic structures and processes.
Things They Need to Be Able to Do
 Mathematics  Using mathematics to solve problems.
 Complex Problem Solving  Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.
 Critical Thinking  Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
 Reading Comprehension  Understanding written sentences and paragraphs in work related documents.
 Active Learning  Understanding the implications of new information for both current and future problemsolving and decisionmaking.
 Writing  Communicating effectively in writing as appropriate for the needs of the audience.
 Active Listening  Giving full attention to what other people are saying, taking time to understand the points being made, asking questions as appropriate, and not interrupting at inappropriate times.
Education Required
Most of these occupations require graduate school. For example, they may require a master's degree, and some require a Ph.D., M.D., or J.D. (law degree).
Wages
In 2014, the average annual wage in United States was $104,350 with most people making between $54,830 and $157,090
Outlook
During 2012, this occupation employed approximately 3,500 people in United States. It is projected that there will be 4,300 employed in 2022.
This occupation will have about 80 openings due to growth and about 90 replacement openings for approximately 170 total annual openings.
Common College Majors
 Find Institutions Mathematics, General
 Find Institutions Algebra and Number Theory
 Find Institutions Analysis and Functional Analysis
 Find Institutions Geometry/Geometric Analysis
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 Find Institutions Mathematics, Other
 Find Institutions Applied Mathematics, General
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 Find Institutions Computational and Applied Mathematics
 Find Institutions Financial Mathematics
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 Find Institutions Applied Mathematics, Other
 Find Institutions Mathematical Statistics and Probability
 Find Institutions Mathematics and Statistics
 Find Institutions Mathematics and Statistics, Other
 Find Institutions Logic
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