Mathematicians

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Also known as:
Algebraist, Cipher Expert, Cryptanalyst, Cryptographer, Cryptographic Vulnerability Analyst, Geometrician, Mathematician

SNAPSHOT
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.
Leadership
LOW
Critical decision making
HIGH
Level of responsibilities
LOW
Job challenge and pressure to meet deadlines
LOW
Dealing and handling conflict
LOW
Competition for this position
HIGH
Communication with others
MED
Work closely with team members, clients etc.
LOW
Comfort of the work setting
HIGH
Exposure to extreme environmental conditions
LOW
Exposure to job hazards
LOW
Physical demands
LOW
Daily tasks

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.

Perform computations and apply methods of numerical analysis to data.

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.

Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.

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.

MAIN ACTIVITIES
Interacting With Computers Using computers and computer systems (including hardware and software) to program, write software, set up functions, enter data, or process information.
Analyzing Data or Information Identifying the underlying principles, reasons, or facts of information by breaking down information or data into separate parts.
Making Decisions and Solving Problems Analyzing information and evaluating results to choose the best solution and solve problems.
Getting Information Observing, receiving, and otherwise obtaining information from all relevant sources.
Thinking Creatively Developing, designing, or creating new applications, ideas, relationships, systems, or products, including artistic contributions.
Processing Information Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying information or data.
Updating and Using Relevant Knowledge Keeping up-to-date technically and applying new knowledge to your job.
Communicating with Supervisors, Peers, or Subordinates Providing information to supervisors, co-workers, and subordinates by telephone, in written form, e-mail, or in person.
AREAS OF KNOWLEDGE
Mathematics Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
Computers and Electronics Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
English Language Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.
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.
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.
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.
Design Knowledge of design techniques, tools, and principles involved in production of precision technical plans, blueprints, drawings, and models.
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.
TOP SKILLS
Mathematics Using mathematics to solve problems.
Reading Comprehension Understanding written sentences and paragraphs in work related documents.
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.
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.
Writing Communicating effectively in writing as appropriate for the needs of the audience.
Science Using scientific rules and methods to solve problems.