Mathematicians

Description

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.

Tasks

  • Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
  • Assemble sets of assumptions and explore the consequences of each set.
  • Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
  • Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
  • Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
  • Perform computations and apply methods of numerical analysis to data.
  • Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
  • Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
  • 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.
  • Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.

Knowledge

Building and Construction
Knowledge of materials, methods, and the tools involved in the construction or repair of houses, buildings, or other structures such as highways and roads.
Medicine and Dentistry
Knowledge of the information and techniques needed to diagnose and treat human injuries, diseases, and deformities. This includes symptoms, treatment alternatives, drug properties and interactions, and preventive health-care measures.
Food Production
Knowledge of techniques and equipment for planting, growing, and harvesting food products (both plant and animal) for consumption, including storage/handling techniques.
Fine Arts
Knowledge of the theory and techniques required to compose, produce, and perform works of music, dance, visual arts, drama, and sculpture.
Therapy and Counseling
Knowledge of principles, methods, and procedures for diagnosis, treatment, and rehabilitation of physical and mental dysfunctions, and for career counseling and guidance.

Skills

Equipment Selection
Determining the kind of tools and equipment needed to do a job.
Installation
Installing equipment, machines, wiring, or programs to meet specifications.
Operation and Control
Controlling operations of equipment or systems.
Equipment Maintenance
Performing routine maintenance on equipment and determining when and what kind of maintenance is needed.
Troubleshooting
Determining causes of operating errors and deciding what to do about it.
Repairing
Repairing machines or systems using the needed tools.

Abilities

Trunk Strength
The ability to use your abdominal and lower back muscles to support part of the body repeatedly or continuously over time without 'giving out' or fatiguing.
Speed of Limb Movement
The ability to quickly move the arms and legs.
Wrist-Finger Speed
The ability to make fast, simple, repeated movements of the fingers, hands, and wrists.
Reaction Time
The ability to quickly respond (with the hand, finger, or foot) to a signal (sound, light, picture) when it appears.
Rate Control
The ability to time your movements or the movement of a piece of equipment in anticipation of changes in the speed and/or direction of a moving object or scene.
Response Orientation
The ability to choose quickly between two or more movements in response to two or more different signals (lights, sounds, pictures). It includes the speed with which the correct response is started with the hand, foot, or other body part.
Multilimb Coordination
The ability to coordinate two or more limbs (for example, two arms, two legs, or one leg and one arm) while sitting, standing, or lying down. It does not involve performing the activities while the whole body is in motion.
Control Precision
The ability to quickly and repeatedly adjust the controls of a machine or a vehicle to exact positions.
Manual Dexterity
The ability to quickly move your hand, your hand together with your arm, or your two hands to grasp, manipulate, or assemble objects.
Sound Localization
The ability to tell the direction from which a sound originated.

Work Activities

Controlling Machines and Processes
Using either control mechanisms or direct physical activity to operate machines or processes (not including computers or vehicles).
Performing General Physical Activities
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 of materials.
Repairing and Maintaining Mechanical Equipment
Servicing, repairing, adjusting, and testing machines, devices, moving parts, and equipment that operate primarily on the basis of mechanical (not electronic) principles.
Operating Vehicles, Mechanized Devices, or Equipment
Running, maneuvering, navigating, or driving vehicles or mechanized equipment, such as forklifts, passenger vehicles, aircraft, or water craft.

Interests

Investigative
Investigative occupations frequently involve working with ideas, and require an extensive amount of thinking. These occupations can involve searching for facts and figuring out problems mentally.
Conventional
Conventional occupations frequently involve following set procedures and routines. These occupations can include working with data and details more than with ideas. Usually there is a clear line of authority to follow.
Artistic
Artistic occupations frequently involve working with forms, designs and patterns. They often require self-expression and the work can be done without following a clear set of rules.
Realistic
Realistic occupations frequently involve work activities that include practical, hands-on problems and solutions. They often deal with plants, animals, and real-world materials like wood, tools, and machinery. Many of the occupations require working outside, and do not involve a lot of paperwork or working closely with others.
Enterprising
Enterprising occupations frequently involve starting up and carrying out projects. These occupations can involve leading people and making many decisions. Sometimes they require risk taking and often deal with business.
Social
Social occupations frequently involve working with, communicating with, and teaching people. These occupations often involve helping or providing service to others.

Work Style

Analytical Thinking
Job requires analyzing information and using logic to address work-related issues and problems.
Attention to Detail
Job requires being careful about detail and thorough in completing work tasks.
Innovation
Job requires creativity and alternative thinking to develop new ideas for and answers to work-related problems.
Integrity
Job requires being honest and ethical.
Achievement/Effort
Job requires establishing and maintaining personally challenging achievement goals and exerting effort toward mastering tasks.
Persistence
Job requires persistence in the face of obstacles.
Independence
Job requires developing one's own ways of doing things, guiding oneself with little or no supervision, and depending on oneself to get things done.
Initiative
Job requires a willingness to take on responsibilities and challenges.
Dependability
Job requires being reliable, responsible, and dependable, and fulfilling obligations.
Adaptability/Flexibility
Job requires being open to change (positive or negative) and to considerable variety in the workplace.

Work Values

Achievement
Occupations that satisfy this work value are results oriented and allow employees to use their strongest abilities, giving them a feeling of accomplishment. Corresponding needs are Ability Utilization and Achievement.
Recognition
Occupations that satisfy this work value offer advancement, potential for leadership, and are often considered prestigious. Corresponding needs are Advancement, Authority, Recognition and Social Status.
Working Conditions
Occupations that satisfy this work value offer job security and good working conditions. Corresponding needs are Activity, Compensation, Independence, Security, Variety and Working Conditions.
Independence
Occupations that satisfy this work value allow employees to work on their own and make decisions. Corresponding needs are Creativity, Responsibility and Autonomy.
Support
Occupations that satisfy this work value offer supportive management that stands behind employees. Corresponding needs are Company Policies, Supervision: Human Relations and Supervision: Technical.
Relationships
Occupations that satisfy this work value allow employees to provide service to others and work with co-workers in a friendly non-competitive environment. Corresponding needs are Co-workers, Moral Values and Social Service.

Lay Titles

Algebraist
Cipher Expert
Computational Physicist
Computational Scientist
Cryptanalyst
Cryptographer
Cryptographic Vulnerability Analyst
Emerging Solutions Executive
Engineering Mathematician
Image Scientist
Knowledge Engineer
Nanotechnologist
Numerical Analysis Group Manager
Research Computing Specialist
Research Scientist
Scientist
Systems Analyst
Systems Engineer
Technical Fellow

National Wages and Employment Info

Median Wages (2008):
$48.73 hourly, $101,360 annual.
Employment (2008):
3,250 employees