Mathematical Technicians

What they do:

Apply standardized mathematical formulas, principles, and methodology to technological problems in engineering and physical sciences in relation to specific industrial and research objectives, processes, equipment, and products.

On the job, you would:

  • Apply standardized mathematical formulas, principles, and methodology to the solution of technological problems involving engineering or physical science.
  • Process data for analysis, using computers.
  • Reduce raw data to meaningful terms, using the most practical and accurate combination and sequence of computational methods.
  • Translate data into numbers, equations, flow charts, graphs, or other forms.
  • Confer with scientific or engineering personnel to plan projects.
  • Modify standard formulas so that they conform to project needs and data processing methods.

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.
  • Clerical
  • Knowledge of administrative and clerical procedures and systems such as word processing, managing files and records, stenography and transcription, designing forms, and other office procedures and terminology.
  • 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.
  • 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.
  • 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.
  • Telecommunications
  • Knowledge of transmission, broadcasting, switching, control, and operation of telecommunications systems.
  • Production and Processing
  • Knowledge of raw materials, production processes, quality control, costs, and other techniques for maximizing the effective manufacture and distribution of goods.

Skills

  • Mathematics
  • Using mathematics to solve problems.
  • Critical Thinking
  • Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
  • Reading Comprehension
  • Understanding written sentences and paragraphs in work related documents.
  • 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.
  • Judgment and Decision Making
  • Considering the relative costs and benefits of potential actions to choose the most appropriate one.
  • Equipment Selection
  • Determining the kind of tools and equipment needed to do a job.
  • Science
  • Using scientific rules and methods to solve 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.
  • Monitoring
  • Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.

Abilities

  • Mathematical Reasoning
  • The ability to choose the right mathematical methods or formulas to solve a problem.
  • Number Facility
  • The ability to add, subtract, multiply, or divide quickly and correctly.
  • Deductive Reasoning
  • The ability to apply general rules to specific problems to produce answers that make sense.
  • Oral Expression
  • The ability to communicate information and ideas in speaking so others will understand.
  • Oral Comprehension
  • The ability to listen to and understand information and ideas presented through spoken words and sentences.
  • Problem Sensitivity
  • The ability to tell when something is wrong or is likely to go wrong. It does not involve solving the problem, only recognizing there is a problem.
  • Near Vision
  • The ability to see details at close range (within a few feet of the observer).
  • 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).
  • 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).
  • Written Comprehension
  • The ability to read and understand information and ideas presented in writing.

Work Activities

  • Processing Information
  • Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying information or data.
  • Getting Information
  • Observing, receiving, and otherwise obtaining information from all relevant sources.
  • Analyzing Data or Information
  • Identifying the underlying principles, reasons, or facts of information by breaking down information or data into separate parts.
  • 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.
  • Making Decisions and Solving Problems
  • Analyzing information and evaluating results to choose the best solution and solve problems.
  • Updating and Using Relevant Knowledge
  • Keeping up-to-date technically and applying new knowledge to your job.
  • Documenting/Recording Information
  • Entering, transcribing, recording, storing, or maintaining information in written or electronic/magnetic form.
  • Communicating with Supervisors, Peers, or Subordinates
  • Providing information to supervisors, co-workers, and subordinates by telephone, in written form, e-mail, or in person.
  • Organizing, Planning, and Prioritizing Work
  • Developing specific goals and plans to prioritize, organize, and accomplish your work.

Interests

  • Investigative
  • Investigative occupations frequently involve working with ideas, and require an extensive amount of thinking. These occupations can involve searching for facts and figuring out problems mentally.
  • Third Interest High-Point
  • Tertiary-Cutoff/Rank Descriptiveness
  • Realistic
  • Realistic occupations frequently involve work activities that include practical, hands-on problems and solutions. They often deal with plants, animals, and real-world materials like wood, tools, and machinery. Many of the occupations require working outside, and do not involve a lot of paperwork or working closely with others.
  • Conventional
  • Conventional occupations frequently involve following set procedures and routines. These occupations can include working with data and details more than with ideas. Usually there is a clear line of authority to follow.
  • Artistic
  • Artistic occupations frequently involve working with forms, designs and patterns. They often require self-expression and the work can be done without following a clear set of rules.
  • First Interest High-Point
  • Primary-Rank Descriptiveness
  • Social
  • Social occupations frequently involve working with, communicating with, and teaching people. These occupations often involve helping or providing service to others.
  • Enterprising
  • Enterprising occupations frequently involve starting up and carrying out projects. These occupations can involve leading people and making many decisions. Sometimes they require risk taking and often deal with business.
  • Second Interest High-Point
  • Secondary-Cutoff/Rank Descriptiveness

Work Styles