Mathematicians

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Also known as:  Algebraist, Cipher Expert, Cryptanalyst, Cryptographer, Cryptographic Vulnerability Analyst, Geometrician, Mathematician
SNAPSHOT Expand
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
LOW
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
LOW
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
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DAILY TASKS Expand
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.
Assemble sets of assumptions and explore the consequences of each set.
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
Perform computations and apply methods of numerical analysis to data.
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.
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
MAIN ACTIVITIES Expand
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.
AREAS OF KNOWLEDGE Expand
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.
Chemistry Knowledge of the chemical composition, structure, and properties of substances and of the chemical processes and transformations that they undergo. This includes uses of chemicals and their interactions, danger signs, production techniques, and disposal methods.
Communications and Media Knowledge of media production, communication, and dissemination techniques and methods. This includes alternative ways to inform and entertain via written, oral, and visual media.
KEY ABILITIES Expand
Mathematical Reasoning The ability to choose the right mathematical methods or formulas to solve a problem.
Deductive Reasoning The ability to apply general rules to specific problems to produce answers that make sense.
Number Facility The ability to add, subtract, multiply, or divide quickly and correctly.
Written Comprehension The ability to read and understand information and ideas presented in writing.
Information Ordering 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).
Inductive Reasoning The ability to combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events).
Originality The ability to come up with unusual or clever ideas about a given topic or situation, or to develop creative ways to solve a problem.
Fluency of Ideas 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).
TOP SKILLS Expand
Mathematics Using mathematics to solve problems.
Reading Comprehension Understanding written sentences and paragraphs in work related documents.
Critical Thinking Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
Complex Problem Solving Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.
Active Learning Understanding the implications of new information for both current and future problem-solving and decision-making.
Learning Strategies Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
Speaking Talking to others to convey information effectively.
Science Using scientific rules and methods to solve problems.