Mathematicians

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

See all Science, Technology, Engineering and Mathematics Careers.

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.