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.

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. 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.

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.

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. Judgment and Decision Making -- Considering the relative costs and benefits of potential actions to choose the most appropriate one. 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. 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. Speaking -- Talking to others to convey information effectively. Active Learning -- Understanding the implications of new information for both current and future problem-solving and decision-making.

Number Facility -- The ability to add, subtract, multiply, or divide quickly and correctly. 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. 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.

Processing Information -- Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying information or data. Analyzing Data or Information -- Identifying the underlying principles, reasons, or facts of information by breaking down information or data into separate parts. Getting Information -- Observing, receiving, and otherwise obtaining information from all relevant sources. Interacting With Computers -- Using computers and computer systems (including hardware and software) to program, write software, set up functions, enter data, or process information. Identifying Objects, Actions, and Events -- Identifying information by categorizing, estimating, recognizing differences or similarities, and detecting changes in circumstances or events. Updating and Using Relevant Knowledge -- Keeping up-to-date technically and applying new knowledge to your job. Making Decisions and Solving Problems -- Analyzing information and evaluating results to choose the best solution and solve problems. Communicating with Supervisors, Peers, or Subordinates -- Providing information to supervisors, co-workers, and subordinates by telephone, in written form, e-mail, or in person.