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.
Salary at 10th Percentile: $52,860
Median Salary: $103,010
Salary at 90th Percentile: $161,900
Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
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.
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.
Disseminate research by writing reports, publishing papers, or presenting at 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.
Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.
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.
Knowledge of principles and methods for curriculum and training design, teaching and instruction for individuals and groups, and the measurement of training effects.
Knowledge of design techniques, tools, and principles involved in production of precision technical plans, blueprints, drawings, and models.
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.
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.
Knowledge of transmission, broadcasting, switching, control, and operation of telecommunications systems.
Knowledge of media production, communication, and dissemination techniques and methods. This includes alternative ways to inform and entertain via written, oral, and visual media.
Using mathematics to solve problems.
Understanding written sentences and paragraphs in work related documents.
Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.
Understanding the implications of new information for both current and future problem-solving and decision-making.
Giving full attention to what other people are saying, taking time to understand the points being made, asking questions as appropriate, and not interrupting at inappropriate times.
Communicating effectively in writing as appropriate for the needs of the audience.
Talking to others to convey information effectively.
Using scientific rules and methods to solve problems.
Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
The ability to choose the right mathematical methods or formulas to solve a problem.
The ability to add, subtract, multiply, or divide quickly and correctly.
The ability to apply general rules to specific problems to produce answers that make sense.
The ability to read and understand information and ideas presented in writing.
The ability to combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events).
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).
The ability to listen to and understand information and ideas presented through spoken words and sentences.
The ability to come up with a number of ideas about a topic (the number of ideas is important, not their quality, correctness, or creativity).
The ability to tell when something is wrong or is likely to go wrong. It does not involve solving the problem, only recognizing there is a problem.
The ability to generate or use different sets of rules for combining or grouping things in different ways.
Using computers and computer systems (including hardware and software) to program, write software, set up functions, enter data, or process information.
Identifying the underlying principles, reasons, or facts of information by breaking down information or data into separate parts.
Analyzing information and evaluating results to choose the best solution and solve problems.
Observing, receiving, and otherwise obtaining information from all relevant sources.
Developing, designing, or creating new applications, ideas, relationships, systems, or products, including artistic contributions.
Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying information or data.
Keeping up-to-date technically and applying new knowledge to your job.
Providing information to supervisors, co-workers, and subordinates by telephone, in written form, e-mail, or in person.
Identifying information by categorizing, estimating, recognizing differences or similarities, and detecting changes in circumstances or events.
Estimating sizes, distances, and quantities; or determining time, costs, resources, or materials needed to perform a work activity.
Present research results to others.
Prepare analytical reports.
Apply mathematical principles or statistical approaches to solve problems in scientific or applied fields.
Determine appropriate methods for data analysis.
Update knowledge about emerging industry or technology trends.
Analyze data to identify trends or relationships among variables.
Design computer modeling or simulation programs.
Develop scientific or mathematical models.
Analyze security of systems, network, or data.
Develop computer or information security policies or procedures.
How important is being very exact or highly accurate in performing this job?
How much decision making freedom, without supervision, does the job offer?
To what extent is this job structured for the worker, rather than allowing the worker to determine tasks, priorities, and goals?
How often do you use electronic mail in this job?
How much does this job require sitting?
How often does this job require working indoors in environmentally controlled conditions?
How often do you have to have face-to-face discussions with individuals or teams in this job?
What results do your decisions usually have on other people or the image or reputation or financial resources of your employer?
How often do you have telephone conversations in this job?
To what extent does this job require the worker to compete or to be aware of competitive pressures?
Score: 100 / 100
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.
Score: 67 / 100
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.
Score: 57 / 100
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.
Score: 24 / 100
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.
Score: 24 / 100
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.
Score: 14 / 100
Social occupations frequently involve working with, communicating with, and teaching people. These occupations often involve helping or providing service to others.
Job requires analyzing information and using logic to address work-related issues and problems.
Job requires being careful about detail and thorough in completing work tasks.
Job requires creativity and alternative thinking to develop new ideas for and answers to work-related problems.
Job requires being honest and ethical.
Job requires establishing and maintaining personally challenging achievement goals and exerting effort toward mastering tasks.
Job requires persistence in the face of obstacles.
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.
Job requires a willingness to take on responsibilities and challenges.
Job requires being reliable, responsible, and dependable, and fulfilling obligations.
Job requires being open to change (positive or negative) and to considerable variety in the workplace.
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.
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.
Occupations that satisfy this work value offer job security and good working conditions. Corresponding needs are Activity, Compensation, Independence, Security, Variety and Working Conditions.
Occupations that satisfy this work value allow employees to work on their own and make decisions. Corresponding needs are Creativity, Responsibility and Autonomy.
Occupations that satisfy this work value offer supportive management that stands behind employees. Corresponding needs are Company Policies, Supervision: Human Relations and Supervision: Technical.
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.