Career:
Mathematician

Job 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.

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What Mathematicians do:

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

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What work activities does a Mathematician do?

Importance Activities

Thinking Creatively - Developing, designing, or creating new applications, ideas, relationships, systems, or products, including artistic contributions.

Updating and Using Relevant Knowledge - Keeping up-to-date technically and applying new knowledge to your job.

Interacting With Computers - Using computers and computer systems (including hardware and software) to program, write software, set up functions, enter data, or process information.

Getting Information - Observing, receiving, and otherwise obtaining information from all relevant sources.

Making Decisions and Solving Problems - Analyzing information and evaluating results to choose the best solution and solve problems.

Analyzing Data or Information - Identifying the underlying principles, reasons, or facts of information by breaking down information or data into separate parts.

Communicating with Supervisors, Peers, or Subordinates - Providing information to supervisors, co-workers, and subordinates by telephone, in written form, e-mail, or in person.

Processing Information - Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying information or data.

Provide Consultation and Advice to Others - Providing guidance and expert advice to management or other groups on technical, systems-, or process-related topics.

Interpreting the Meaning of Information for Others - Translating or explaining what information means and how it can be used.

Identifying Objects, Actions, and Events - Identifying information by categorizing, estimating, recognizing differences or similarities, and detecting changes in circumstances or events.

Estimating the Quantifiable Characteristics of Products, Events, or Information - Estimating sizes, distances, and quantities; or determining time, costs, resources, or materials needed to perform a work activity.

Communicating with Persons Outside Organization - Communicating with people outside the organization, representing the organization to customers, the public, government, and other external sources. This information can be exchanged in person, in writing, or by telephone or e-mail.

Developing Objectives and Strategies - Establishing long-range objectives and specifying the strategies and actions to achieve them.

Documenting/Recording Information - Entering, transcribing, recording, storing, or maintaining information in written or electronic/magnetic form.

Establishing and Maintaining Interpersonal Relationships - Developing constructive and cooperative working relationships with others, and maintaining them over time.

Organizing, Planning, and Prioritizing Work - Developing specific goals and plans to prioritize, organize, and accomplish your work.

Training and Teaching Others - Identifying the educational needs of others, developing formal educational or training programs or classes, and teaching or instructing others.

Coaching and Developing Others - Identifying the developmental needs of others and coaching, mentoring, or otherwise helping others to improve their knowledge or skills.

Developing and Building Teams - Encouraging and building mutual trust, respect, and cooperation among team members.

Judging the Qualities of Things, Services, or People - Assessing the value, importance, or quality of things or people.

Guiding, Directing, and Motivating Subordinates - Providing guidance and direction to subordinates, including setting performance standards and monitoring performance.

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