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Mathematicians

It's a bright outlook for

This career will grow rapidly in the next few years.

Learn more about 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.

Related: Bioinformatics Scientists Computer & Information Research Scientists Data Scientists Physicists Statisticians

Industries: Government Education Professional, Science, & Technical

Summary
Details

Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
Assemble sets of assumptions, and explore the consequences of each set.
Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending 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.
Perform computations and apply methods of numerical analysis to data.
Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
Mentor others on mathematical techniques.
Mentor others on mathematical techniques.
Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
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.
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.
Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.

Complex Problem Solving
- Noticing a problem and figuring out the best way to solve it.
Active Listening
- Listening to others, not interrupting, and asking good questions.
Equipment Selection
- Deciding what kind of tools and equipment are needed to do a job.
Critical Thinking
- Thinking about the pros and cons of different ways to solve a problem.
Instructing
- Teaching people how to do something.
Operation and Control
- Using equipment or systems.
Reading Comprehension
- Reading work-related information.
Science
- Using scientific rules and strategies to solve problems.
Judgment and Decision Making
- Thinking about the pros and cons of different options and picking the best one.
Speaking
- Talking to others.
Service Orientation
- Looking for ways to help people.
Management of Material Resources
- Managing equipment and materials.
Mathematics
- Using math to solve problems.
Coordination
- Changing what is done based on other people's actions.
Technology Design
- Making equipment and technology useful for customers.
Equipment Maintenance
- Planning and doing the basic maintenance on equipment.
Time Management
- Managing your time and the time of other people.
Quality Control Analysis
- Testing how well a product or service works.
Systems Analysis
- Figuring out how a system should work and how changes in the future will affect it.
Learning Strategies
- Using the best training or teaching strategies for learning new things.
Monitoring
- Keeping track of how well people and/or groups are doing in order to make improvements.
Operations Analysis
- Figuring out what a product or service needs to be able to do.
Persuasion
- Talking people into changing their minds or their behavior.
Installation
- Installing equipment, machines, wiring, or computer programs.
Active Learning
- Figuring out how to use new ideas or things.
Operations Monitoring
- Watching gauges, dials, or display screens to make sure a machine is working.
Negotiation
- Bringing people together to solve differences.
Programming
- Writing computer programs.
Systems Evaluation
- Measuring how well a system is working and how to improve it.
Writing
- Writing things for co-workers or customers.
Social Perceptiveness
- Understanding people's reactions.
Troubleshooting
- Figuring out what is causing equipment, machines, wiring, or computer programs to not work.
Management of Financial Resources
- Making spending decisions and keeping track of what is spent.
Management of Personnel Resources
- Selecting and managing the best workers for a job.
Repairing
- Repairing machines or systems using the right tools.

Manual Dexterity
- Holding or moving items with your hands.
Near Vision
- Seeing details up close.
Spatial Orientation
- Knowing where things are around you.
Visualization
- Imagining how something will look after it is moved around or changed.
Written Comprehension
- Reading and understanding what is written.
Deductive Reasoning
- Using rules to solve problems.
Written Expression
- Communicating by writing.
Information Ordering
- Ordering or arranging things.
Originality
- Creating new and original ideas.
Night Vision
- Seeing at night or under low light.
Static Strength
- Lifting, pushing, pulling, or carrying.
Explosive Strength
- Jumping, sprinting, or throwing something.
Extent Flexibility
- Bending, stretching, twisting, or reaching with your body, arms, and/or legs.
Glare Sensitivity
- Seeing something even if there is a glare or very bright light.
Oral Comprehension
- Listening and understanding what people say.
Wrist-Finger Speed
- Making fast, simple, repeated movements of your fingers, hands, and wrists.
Fluency of Ideas
- Coming up with lots of ideas.
Category Flexibility
- Grouping things in different ways.
Inductive Reasoning
- Making general rules or coming up with answers from lots of detailed information.
Depth Perception
- Deciding which thing is closer or farther away from you, or deciding how far away it is from you.
Flexibility of Closure
- Seeing hidden patterns.
Multilimb Coordination
- Using your arms and/or legs together while sitting, standing, or lying down.
Speed of Limb Movement
- Quickly moving your arms and legs.
Memorization
- Remembering words, numbers, pictures, or steps.
Selective Attention
- Paying attention to something without being distracted.
Stamina
- Exercising for a long time without getting out of breath.
Dynamic Flexibility
- Quickly and repeatedly bending, stretching, twisting, or reaching out with your body, arms, and/or legs.
Far Vision
- Seeing details that are far away.
Auditory Attention
- Paying attention to one sound while there are other distracting sounds.
Peripheral Vision
- Seeing something to your side when your are looking ahead.
Speech Recognition
- Recognizing spoken words.
Finger Dexterity
- Putting together small parts with your fingers.
Control Precision
- Quickly changing the controls of a machine, car, truck or boat.
Speed of Closure
- Quickly knowing what you are looking at.
Arm-Hand Steadiness
- Keeping your arm or hand steady.
Time Sharing
- Doing two or more things at the same time.
Reaction Time
- Quickly moving your hand, finger, or foot based on a sound, light, picture or other command.
Response Orientation
- Quickly deciding if you should move your hand, foot, or other body part.
Problem Sensitivity
- Noticing when problems happen.
Visual Color Discrimination
- Noticing the difference between colors, including shades and brightness.
Sound Localization
- Noticing the direction that a sound came from.
Dynamic Strength
- Exercising for a long time without your muscles getting tired.
Trunk Strength
- Using your lower back and stomach.
Gross Body Coordination
- Moving your arms, legs, and mid-section together while your whole body is moving.
Speech Clarity
- Speaking clearly.
Perceptual Speed
- Quickly comparing groups of letters, numbers, pictures, or other things.
Rate Control
- Changing when and how fast you move based on how something else is moving.
Mathematical Reasoning
- Choosing the right type of math to solve a problem.
Number Facility
- Adding, subtracting, multiplying, or dividing.
Oral Expression
- Communicating by speaking.
Gross Body Equilibrium
- Keeping your balance or staying upright.
Hearing Sensitivity
- Telling the difference between sounds.

Customer and Personal Service
- Knowledge of principles and processes for providing customer and personal services. This includes customer needs assessment, meeting quality standards for services, and evaluation of customer satisfaction.
Chemistry
- Knowledge of the chemical composition, structure, and properties of substances and of the chemical processes and transformations that they undergo. This includes uses of chemicals and their interactions, danger signs, production techniques, and disposal methods.
English Language
- Knowledge of the structure and content of the English language including the meaning and spelling of words, and rules of composition and grammar.
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.
Public Safety and Security
- Knowledge of relevant equipment, policies, procedures, and strategies to promote effective local, state, or national security operations for the protection of people, data, property, and institutions.
Foreign Language
- Knowledge of the structure and content of a foreign (non-English) language including the meaning and spelling of words, rules of composition and grammar, and pronunciation.
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.
Mechanical
- Knowledge of machines and tools, including their designs, uses, repair, and maintenance.
Sales and Marketing
- Knowledge of principles and methods for showing, promoting, and selling products or services. This includes marketing strategy and tactics, product demonstration, sales techniques, and sales control systems.
Philosophy and Theology
- Knowledge of different philosophical systems and religions. This includes their basic principles, values, ethics, ways of thinking, customs, practices, and their impact on human culture.
History and Archeology
- Knowledge of historical events and their causes, indicators, and effects on civilizations and cultures.
Mathematics
- Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
Design
- Knowledge of design techniques, tools, and principles involved in production of precision technical plans, blueprints, drawings, and models.
Sociology and Anthropology
- Knowledge of group behavior and dynamics, societal trends and influences, human migrations, ethnicity, cultures, and their history and origins.
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.
Administrative
- Knowledge of administrative and office procedures and systems such as word processing, managing files and records, stenography and transcription, designing forms, and workplace terminology.
Personnel and Human Resources
- Knowledge of principles and procedures for personnel recruitment, selection, training, compensation and benefits, labor relations and negotiation, and personnel information systems.
Administration and Management
- Knowledge of business and management principles involved in strategic planning, resource allocation, human resources modeling, leadership technique, production methods, and coordination of people and resources.
Production and Processing
- Knowledge of raw materials, production processes, quality control, costs, and other techniques for maximizing the effective manufacture and distribution of goods.
Economics and Accounting
- Knowledge of economic and accounting principles and practices, the financial markets, banking, and the analysis and reporting of financial data.
Computers and Electronics
- Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
Food Production
- Knowledge of techniques and equipment for planting, growing, and harvesting food products (both plant and animal) for consumption, including storage/handling techniques.
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.
Biology
- Knowledge of plant and animal organisms, their tissues, cells, functions, interdependencies, and interactions with each other and the environment.
Geography
- Knowledge of principles and methods for describing the features of land, sea, and air masses, including their physical characteristics, locations, interrelationships, and distribution of plant, animal, and human life.
Psychology
- Knowledge of human behavior and performance; individual differences in ability, personality, and interests; learning and motivation; psychological research methods; and the assessment and treatment of behavioral and affective disorders.
Communications and Media
- Knowledge of media production, communication, and dissemination techniques and methods. This includes alternative ways to inform and entertain via written, oral, and visual media.
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.
Transportation
- Knowledge of principles and methods for moving people or goods by air, rail, sea, or road, including the relative costs and benefits.
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.
Law and Government
- Knowledge of laws, legal codes, court procedures, precedents, government regulations, executive orders, agency rules, and the democratic political process.
Telecommunications
- Knowledge of transmission, broadcasting, switching, control, and operation of telecommunications systems.

Education

Master's degree

Work Experience

No work experience

Training

No on-the-job training

Education and Training Opportunities

Washington Annual Salary

137180/yr

Washington Hourly Wage

65.95/hr

Currently Employed

140

Yearly Projected Openings

Investigative: People interested in this work like activities that include ideas, thinking, and figuring things out. They do well at jobs that need:

Analytical Thinking
Attention to Detail
Persistence
Integrity
Innovation
Achievement/Effort

Desktop computers
High capacity removable media drives
Mainframe computers
Notebook computers
Personal computers
Read write digital versatile disc DVD
Scientific calculator

Analytical or scientific software
Business intelligence and data analysis software
Content workflow software
Customer relationship management CRM software
Data base management system software
Data base user interface and query software
Desktop publishing software
Development environment software
Electronic mail software
Enterprise application integration software
File versioning software
Graphics or photo imaging software
Internet browser software
Metadata management software
Network security or virtual private network VPN management software
Object or component oriented development software
Office suite software
Operating system software
Presentation software
Program testing software
Spreadsheet software
Transaction server software
Web platform development software
Word processing software

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