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Mathematicians

Mathematicians

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.

Skills

  • Active Learning - Understanding the implications of new information for both current and future problem-solving and decision-making.
  • Active Listening - 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.
  • Complex Problem Solving - Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.
  • Critical Thinking - Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
  • Judgment and Decision Making - Considering the relative costs and benefits of potential actions to choose the most appropriate one.
  • Learning Strategies - Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
  • Mathematics - Using mathematics to solve problems.
  • Reading Comprehension - Understanding written sentences and paragraphs in work related documents.
  • Science - Using scientific rules and methods to solve problems.
  • Speaking - Talking to others to convey information effectively.
  • Systems Analysis - Determining how a system should work and how changes in conditions, operations, and the environment will affect outcomes.
  • Systems Evaluation - Identifying measures or indicators of system performance and the actions needed to improve or correct performance, relative to the goals of the system.
  • Writing - Communicating effectively in writing as appropriate for the needs of the audience.
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Knowledge

  • Computers and Electronics - Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
  • 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.
  • English Language - Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.
  • 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.
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Tasks

  • Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
  • Assemble sets of assumptions and explore the consequences of each set.
  • Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
  • 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.
  • Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
  • Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
  • 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.
  • Perform computations and apply methods of numerical analysis to data.
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Work Activities

  • Analyzing Data or Information - Identifying the underlying principles, reasons, or facts of information by breaking down information or data into separate parts.
  • 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.
  • Communicating with Supervisors, Peers, or Subordinates - Providing information to supervisors, co-workers, and subordinates by telephone, in written form, e-mail, or in person.
  • 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.
  • 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.
  • Getting Information - Observing, receiving, and otherwise obtaining information from all relevant sources.
  • Identifying Objects, Actions, and Events - Identifying information by categorizing, estimating, recognizing differences or similarities, and detecting changes in circumstances or events.
  • Interacting With Computers - Using computers and computer systems (including hardware and software) to program, write software, set up functions, enter data, or process information.
  • Interpreting the Meaning of Information for Others - Translating or explaining what information means and how it can be used.
  • Making Decisions and Solving Problems - Analyzing information and evaluating results to choose the best solution and solve problems.
  • Organizing, Planning, and Prioritizing Work - Developing specific goals and plans to prioritize, organize, and accomplish your work.
  • 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.
  • Thinking Creatively - Developing, designing, or creating new applications, ideas, relationships, systems, or products, including artistic contributions.
  • Training and Teaching Others - Identifying the educational needs of others, developing formal educational or training programs or classes, and teaching or instructing others.
  • Updating and Using Relevant Knowledge - Keeping up-to-date technically and applying new knowledge to your job.
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Personality Traits

  • Achievement/Effort: Job requires establishing and maintaining personally challenging achievement goals and exerting effort toward mastering tasks.
  • Adaptability/Flexibility: Job requires being open to change (positive or negative) and to considerable variety in the workplace.
  • Analytical Thinking: Job requires analyzing information and using logic to address work-related issues and problems.
  • Attention to Detail: Job requires being careful about detail and thorough in completing work tasks.
  • Concern for Others: Job requires being sensitive to others' needs and feelings and being understanding and helpful on the job.
  • Cooperation: Job requires being pleasant with others on the job and displaying a good-natured, cooperative attitude.
  • Dependability: Job requires being reliable, responsible, and dependable, and fulfilling obligations.
  • Independence: 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.
  • Initiative: Job requires a willingness to take on responsibilities and challenges.
  • Innovation: Job requires creativity and alternative thinking to develop new ideas for and answers to work-related problems.
  • Integrity: Job requires being honest and ethical.
  • Leadership: Job requires a willingness to lead, take charge, and offer opinions and direction.
  • Persistence: Job requires persistence in the face of obstacles.
  • Self Control: Job requires maintaining composure, keeping emotions in check, controlling anger, and avoiding aggressive behavior, even in very difficult situations.
  • Social Orientation: Job requires preferring to work with others rather than alone, and being personally connected with others on the job.
  • Stress Tolerance: Job requires accepting criticism and dealing calmly and effectively with high stress situations.
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Related Careers

*Related careers will open a third-party site, which is not maintained by MCC.

 

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