What they do
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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Also called: |
Computational Mathematician, Computational Scientist, Cryptographer, Cryptographic Vulnerability Analyst, Image Scientist, Knowledge Engineer, Mathematician, Research Computing Specialist, Research Scientist, Researcher
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Wages
Wage rates not available for Vermont but may be for the nation and other states at CareerOneStop |
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Industries of Employment
United States - 2020 |
Industry | Percent of total |
- Federal government, excluding postal service
| 47% |
- Professional, scientific, and technical services
| 26% |
- Educational services; state, local, and private
| 18% |
More at BLS |
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Knowledge
People in this career often know a lot about: |
- Mathematics
Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
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- English Language
Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.
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- Computers and Electronics
Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
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- Education and Training
Knowledge of principles and methods for curriculum and training design, teaching and instruction for individuals and groups, and the measurement of training effects.
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More at O*NET |
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Skills
People in this career often have these skills: |
- Mathematics
Using mathematics to solve problems.
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- Critical Thinking
Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions, or approaches to problems.
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- Complex Problem Solving
Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.
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- Active Learning
Understanding the implications of new information for both current and future problem-solving and decision-making.
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- Reading Comprehension
Understanding written sentences and paragraphs in work-related documents.
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More at O*NET |
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Interests
People in this career often prefer these work environments: |
- Investigative
Work involves studying and researching non-living objects, living organisms, disease or other forms of impairment, or human behavior. Investigative occupations are often associated with physical, life, medical, or social sciences, and can be found in the fields of humanities, mathematics/statistics, information technology, or health care service.
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- Conventional
Work involves following procedures and regulations to organize information or data, typically in a business setting. Conventional occupations are often associated with office work, accounting, mathematics/statistics, information technology, finance, or human resources.
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- Artistic
Work involves creating original visual artwork, performances, written works, food, or music for a variety of media, or applying artistic principles to the design of various objects and materials. Artistic occupations are often associated with visual arts, applied arts and design, performing arts, music, creative writing, media, or culinary art.
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What are your interests? Take the O*NET Interest Profiler |
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Work Styles
People in this career will do well at jobs that need: |
- Analytical Thinking
Job requires analyzing information and using logic to address work-related issues and problems.
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- Attention to Detail
Job requires being careful about detail and thorough in completing work tasks.
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- Persistence
Job requires persistence in the face of obstacles.
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- Achievement/Effort
Job requires establishing and maintaining personally challenging achievement goals and exerting effort toward mastering tasks.
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- Innovation
Job requires creativity and alternative thinking to develop new ideas for and answers to work-related problems.
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More at O*NET |
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Tasks
On the job, you would: |
- Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
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- Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
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- Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
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- Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
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- Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
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More at O*NET |
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Related Occupations
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Career Video
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Projected Employment
Projected employment not available for Vermont but may be for the nation and other states at CareerOneStop |
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Education and Experience:
- Typical education needed for entry
Master's degree
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- Work experience in a related occupation
None
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- Typical on-the-job training needed to attain competency
None
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Based on BLS Education and Training Classifications |
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Physical Work Activity
Performing physical activities that require considerable use of your arms and legs and moving your whole body, such as climbing, lifting, balancing, walking, stooping, and handling materials. |
- Physical activity is Seldom Important
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- Level of activity is Very Low
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Low | | High |
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Compare Occupations at O*NET |
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Job Zone
Extensive Preparation Needed |
- Specific Vocational Preparation Range
(8.0 and above) - A typical worker will require
over 4 years up to and including 10 years or more
of training to achieve average performance in this occupation.
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Based on O*Net Job Zones and SVP |
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Education Level
How much education do most people in this career have? |
Education level | | Percent of U.S. Workers |
Doctoral or professional degree or post-MA certificate | | 58% |
Master's degree or post-BA certificate | | 33% |
Bachelor's degree | | 8% |
Associate's degree | | 0% |
Certificate or some college, no degree | | 0% |
High school diploma or equivalent | | 0% |
Less than high school diploma | | 0% |
More at O*NET |
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Abilities
People in this career often have talent in: |
- Mathematical Reasoning
The ability to choose the right mathematical methods or formulas to solve a problem.
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- Number Facility
The ability to add, subtract, multiply, or divide quickly and correctly.
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- Deductive Reasoning
The ability to apply general rules to specific problems to produce answers that make sense.
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- Inductive Reasoning
The ability to combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events).
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- Information Ordering
The ability to arrange things or actions in a certain order or pattern according to a specific rule or set of rules (e.g., patterns of numbers, letters, words, pictures, mathematical operations).
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More at O*NET |
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Work Activities
In general, what you might do: |
- 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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- Processing Information
Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying information or data.
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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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More at O*NET |
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Detailed Work Activities
What you might do in a day: |
- Analyze data to identify trends or relationships among variables.
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- Prepare analytical reports.
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- Present research results to others.
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- Update knowledge about emerging industry or technology trends.
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- Apply mathematical principles or statistical approaches to solve problems in scientific or applied fields.
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More at O*NET |
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Other Resources
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- CareerOneStop
resource for job seekers, students, businessess and career professionals
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- O*NET Online
nation's primary source of occupational information
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