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Date: 03/13/2025

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

    • Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
    • Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
    • Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
    • 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.
    • Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
    • 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.
    • Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
    • 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

    • Persuasion

      Talking people into changing their minds or their behavior.

    • Coordination

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

    • Active Learning

      Figuring out how to use new ideas or things.

    • Management of Personnel Resources

      Selecting and managing the best workers for a job.

    • Judgment and Decision Making

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

    • Installation

      Installing equipment, machines, wiring, or computer programs.

    • Management of Material Resources

      Managing equipment and materials.

    • Time Management

      Managing your time and the time of other people.

    • 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.

    • Equipment Selection

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

    • Equipment Maintenance

      Planning and doing the basic maintenance on equipment.

    • Science

      Using scientific rules and strategies to solve problems.

    • Mathematics

      Using math to solve problems.

    • 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.

    • Social Perceptiveness

      Understanding people's reactions.

    • Quality Control Analysis

      Testing how well a product or service works.

    • Operation and Control

      Using equipment or systems.

    • Troubleshooting

      Figuring out what is causing equipment, machines, wiring, or computer programs to not work.

    • Technology Design

      Making equipment and technology useful for customers.

    • Negotiation

      Bringing people together to solve differences.

    • Critical Thinking

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

    • Management of Financial Resources

      Making spending decisions and keeping track of what is spent.

    • 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.

    • Complex Problem Solving

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

    • Reading Comprehension

      Reading work-related information.

    • Programming

      Writing computer programs.

    • Operations Monitoring

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

    • Instructing

      Teaching people how to do something.

    • Service Orientation

      Looking for ways to help people.

    • Speaking

      Talking to others.

    • Repairing

      Repairing machines or systems using the right tools.

    WorkKeys®

    Applied Math
    7
    Workplace Documents
    7
    Graphic Literacy
    6

    Abilities

    • Gross Body Coordination

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

    • Mathematical Reasoning

      Choosing the right type of math to solve a problem.

    • Selective Attention

      Paying attention to something without being distracted.

    • Number Facility

      Adding, subtracting, multiplying, or dividing.

    • Rate Control

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

    • Wrist-Finger Speed

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

    • Night Vision

      Seeing at night or under low light.

    • Control Precision

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

    • Multilimb Coordination

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

    • Oral Comprehension

      Listening and understanding what people say.

    • Explosive Strength

      Jumping, sprinting, or throwing something.

    • Deductive Reasoning

      Using rules to solve problems.

    • Visual Color Discrimination

      Noticing the difference between colors, including shades and brightness.

    • Near Vision

      Seeing details up close.

    • Problem Sensitivity

      Noticing when problems happen.

    • Trunk Strength

      Using your lower back and stomach.

    • Visualization

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

    • Written Expression

      Communicating by writing.

    • Far Vision

      Seeing details that are far away.

    • Perceptual Speed

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

    • Static Strength

      Lifting, pushing, pulling, or carrying.

    • Written Comprehension

      Reading and understanding what is written.

    • Dynamic Strength

      Exercising for a long time without your muscles getting tired.

    • Time Sharing

      Doing two or more things at the same time.

    • Arm-Hand Steadiness

      Keeping your arm or hand steady.

    • Speech Recognition

      Recognizing spoken words.

    • Peripheral Vision

      Seeing something to your side when your are looking ahead.

    • Sound Localization

      Noticing the direction that a sound came from.

    • Glare Sensitivity

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

    • Inductive Reasoning

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

    • Dynamic Flexibility

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

    • 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.

    • Flexibility of Closure

      Seeing hidden patterns.

    • Extent Flexibility

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

    • Gross Body Equilibrium

      Keeping your balance or staying upright.

    • Fluency of Ideas

      Coming up with lots of ideas.

    • Originality

      Creating new and original ideas.

    • Category Flexibility

      Grouping things in different ways.

    • Speed of Limb Movement

      Quickly moving your arms and legs.

    • Hearing Sensitivity

      Telling the difference between sounds.

    • Speech Clarity

      Speaking clearly.

    • Information Ordering

      Ordering or arranging things.

    • Speed of Closure

      Quickly knowing what you are looking at.

    • Oral Expression

      Communicating by speaking.

    • Spatial Orientation

      Knowing where things are around you.

    • Finger Dexterity

      Putting together small parts with your fingers.

    • Auditory Attention

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

    • Manual Dexterity

      Holding or moving items with your hands.

    • 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.

    • Stamina

      Exercising for a long time without getting out of breath.

    Knowledge

    • 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.

    • Fine Arts

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

    • 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.

    • 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.

    • Mathematics

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

    • 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.

    • Transportation

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

    • English Language

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

    • 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.

    • 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.

    • 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.

    • Food Production

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

    • 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.

    • Sociology and Anthropology

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

    • History and Archeology

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

    • Economics and Accounting

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

    • 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.

    • 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.

    • 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.

    • 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.

    • 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.

    • Design

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

    • Computers and Electronics

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

    • 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.

    • 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.

    • 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.

    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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