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Date: 07/01/2025

Mathematicians

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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    Work Activities

    Work Activities

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

    Skills

    • Coordination

      Changing what is done based on other people's actions.

    • Installation

      Installing equipment, machines, wiring, or computer programs.

    • Systems Analysis

      Figuring out how a system should work and how changes in the future will affect it.

    • Active Listening

      Listening to others, not interrupting, and asking good questions.

    • Time Management

      Managing your time and the time of other people.

    • Persuasion

      Talking people into changing their minds or their behavior.

    • Management of Personnel Resources

      Selecting and managing the best workers for a job.

    • Active Learning

      Figuring out how to use new ideas or things.

    • Management of Material Resources

      Managing equipment and materials.

    • Judgment and Decision Making

      Thinking about the pros and cons of different options and picking the best one.

    • Equipment Maintenance

      Planning and doing the basic maintenance on equipment.

    • Mathematics

      Using math to solve problems.

    • Equipment Selection

      Deciding what kind of tools and equipment are needed to do a job.

    • Social Perceptiveness

      Understanding people's reactions.

    • Quality Control Analysis

      Testing how well a product or service works.

    • Operation and Control

      Using equipment or systems.

    • Systems Evaluation

      Measuring how well a system is working and how to improve it.

    • Learning Strategies

      Using the best training or teaching strategies for learning new things.

    • Writing

      Writing things for co-workers or customers.

    • Science

      Using scientific rules and strategies to solve problems.

    • Negotiation

      Bringing people together to solve differences.

    • 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.

    • Technology Design

      Making equipment and technology useful for customers.

    • Critical Thinking

      Thinking about the pros and cons of different ways to solve a problem.

    • Operations Analysis

      Figuring out what a product or service needs to be able to do.

    • Instructing

      Teaching people how to do something.

    • Operations Monitoring

      Watching gauges, dials, or display screens to make sure a machine is working.

    • Service Orientation

      Looking for ways to help people.

    • Complex Problem Solving

      Noticing a problem and figuring out the best way to solve it.

    • Repairing

      Repairing machines or systems using the right tools.

    • Speaking

      Talking to others.

    • Reading Comprehension

      Reading work-related information.

    • Programming

      Writing computer programs.

    • Monitoring

      Keeping track of how well people and/or groups are doing in order to make improvements.

    WorkKeys®

    Applied Math
    7
    Workplace Documents
    7
    Graphic Literacy
    6

    Abilities

    • Control Precision

      Quickly changing the controls of a machine, car, truck or boat.

    • Night Vision

      Seeing at night or under low light.

    • Deductive Reasoning

      Using rules to solve problems.

    • Gross Body Coordination

      Moving your arms, legs, and mid-section together while your whole body is moving.

    • Multilimb Coordination

      Using your arms and/or legs together while sitting, standing, or lying down.

    • Near Vision

      Seeing details up close.

    • Oral Comprehension

      Listening and understanding what people say.

    • Explosive Strength

      Jumping, sprinting, or throwing something.

    • Number Facility

      Adding, subtracting, multiplying, or dividing.

    • Wrist-Finger Speed

      Making fast, simple, repeated movements of your fingers, hands, and wrists.

    • Mathematical Reasoning

      Choosing the right type of math to solve a problem.

    • Rate Control

      Changing when and how fast you move based on how something else is moving.

    • Selective Attention

      Paying attention to something without being distracted.

    • Visual Color Discrimination

      Noticing the difference between colors, including shades and brightness.

    • Trunk Strength

      Using your lower back and stomach.

    • Glare Sensitivity

      Seeing something even if there is a glare or very bright light.

    • Far Vision

      Seeing details that are far away.

    • Sound Localization

      Noticing the direction that a sound came from.

    • Problem Sensitivity

      Noticing when problems happen.

    • Time Sharing

      Doing two or more things at the same time.

    • Perceptual Speed

      Quickly comparing groups of letters, numbers, pictures, or other things.

    • Written Expression

      Communicating by writing.

    • Dynamic Strength

      Exercising for a long time without your muscles getting tired.

    • Static Strength

      Lifting, pushing, pulling, or carrying.

    • Arm-Hand Steadiness

      Keeping your arm or hand steady.

    • Speech Recognition

      Recognizing spoken words.

    • Visualization

      Imagining how something will look after it is moved around or changed.

    • Written Comprehension

      Reading and understanding what is written.

    • Peripheral Vision

      Seeing something to your side when your are looking ahead.

    • Memorization

      Remembering words, numbers, pictures, or steps.

    • Depth Perception

      Deciding which thing is closer or farther away from you, or deciding how far away it is from you.

    • Gross Body Equilibrium

      Keeping your balance or staying upright.

    • Extent Flexibility

      Bending, stretching, twisting, or reaching with your body, arms, and/or legs.

    • Fluency of Ideas

      Coming up with lots of ideas.

    • Dynamic Flexibility

      Quickly and repeatedly bending, stretching, twisting, or reaching out with your body, arms, and/or legs.

    • Flexibility of Closure

      Seeing hidden patterns.

    • Inductive Reasoning

      Making general rules or coming up with answers from lots of detailed information.

    • Spatial Orientation

      Knowing where things are around you.

    • Oral Expression

      Communicating by speaking.

    • Manual Dexterity

      Holding or moving items with your hands.

    • Response Orientation

      Quickly deciding if you should move your hand, foot, or other body part.

    • Speech Clarity

      Speaking clearly.

    • Information Ordering

      Ordering or arranging things.

    • Speed of Limb Movement

      Quickly moving your arms and legs.

    • Finger Dexterity

      Putting together small parts with your fingers.

    • Hearing Sensitivity

      Telling the difference between sounds.

    • Auditory Attention

      Paying attention to one sound while there are other distracting sounds.

    • Originality

      Creating new and original ideas.

    • Stamina

      Exercising for a long time without getting out of breath.

    • Speed of Closure

      Quickly knowing what you are looking at.

    • Category Flexibility

      Grouping things in different ways.

    • Reaction Time

      Quickly moving your hand, finger, or foot based on a sound, light, picture or other command.

    Knowledge

    • 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.

    • 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.

    • Production and Processing

      Knowledge of raw materials, production processes, quality control, costs, and other techniques for maximizing the effective manufacture and distribution of goods.

    • 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.

    • Mathematics

      Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.

    • 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.

    • Fine Arts

      Knowledge of the theory and techniques required to compose, produce, and perform works of music, dance, visual arts, drama, and sculpture.

    • Transportation

      Knowledge of principles and methods for moving people or goods by air, rail, sea, or road, including the relative costs and benefits.

    • Food Production

      Knowledge of techniques and equipment for planting, growing, and harvesting food products (both plant and animal) for consumption, including storage/handling techniques.

    • 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.

    • Biology

      Knowledge of plant and animal organisms, their tissues, cells, functions, interdependencies, and interactions with each other and the environment.

    • 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.

    • Mechanical

      Knowledge of machines and tools, including their designs, uses, repair, and maintenance.

    • English Language

      Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.

    • 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.

    • 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.

    • 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.

    • 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.

    • Economics and Accounting

      Knowledge of economic and accounting principles and practices, the financial markets, banking, and the analysis and reporting of financial data.

    • Sociology and Anthropology

      Knowledge of group behavior and dynamics, societal trends and influences, human migrations, ethnicity, cultures, and their history and origins.

    • 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.

    • Law and Government

      Knowledge of laws, legal codes, court procedures, precedents, government regulations, executive orders, agency rules, and the democratic political process.

    • 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.

    • 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.

    • History and Archeology

      Knowledge of historical events and their causes, indicators, and effects on civilizations and cultures.

    • 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.

    • Telecommunications

      Knowledge of transmission, broadcasting, switching, control, and operation of telecommunications systems.

    • 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.

    • Computers and Electronics

      Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.

    • 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.

    • 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.

    • Design

      Knowledge of design techniques, tools, and principles involved in production of precision technical plans, blueprints, drawings, and models.

    • 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.

    Career Video

    Video not available
    Additional videos and more information available on CareerOneStop

    Pay

    • Ohio Annual Salary 75100/yr
    • Typical Salary
    • Ohio Hourly Wage 36.11/hr
    • Typical Hourly Wage

    Ohio Employment Trends

    • Currently Employed 30
    • Yearly Projected Openings 0

    Typical Education

    Personality

    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
    • Achievement/Effort
    • Innovation
    • Initiative

    Tools

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

    Technology

    • Analytical or scientific software
    • Business intelligence and data analysis 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
    • Graphics or photo imaging software
    • Internet browser 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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