Learning Objectives & Matches
1. Compare the error from a numerical calculus approximation to the corresponding error estimate;
Perform computations and apply methods of numerical analysis to data.
Calculate corrections for refractive errors.
Examine theories, such as those of probability and inference, to discover mathematical bases for new or improved methods of obtaining and evaluating numerical data.
Correct errors by making appropriate changes and rechecking the program to ensure that the desired results are produced.
Formulate mathematical or simulation models of problems, relating constants and variables, restrictions, alternatives, conflicting objectives, and their numerical parameters.
Calculate, review, and correct errors on interest, principal, payment, and closing costs, using computers or calculators.
Describe and express observations and conclusions in mathematical terms.
Compare information or figures on one record against same data on other records, or with original copy, to detect errors.
Program computer numerical control machines.
Confer with numerical control programmers to check and ensure that new programs or machinery will function properly and that output will meet specifications.
2. Implement a numerical approximation to a solution of an initial value problem;
Perform computations and apply methods of numerical analysis to data.
Formulate mathematical or simulation models of problems, relating constants and variables, restrictions, alternatives, conflicting objectives, and their numerical parameters.
Correct errors by making appropriate changes and rechecking the program to ensure that the desired results are produced.
Program computer numerical control machines.
Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
Calculate corrections for refractive errors.
Create novel computational approaches and analytical tools as required by research goals.
Confer with numerical control programmers to check and ensure that new programs or machinery will function properly and that output will meet specifications.
Collaborate with other operators to solve unit problems.
Remove objects from solutions at periodic intervals and observe objects to verify conformance to specifications.
3. Employ and analyze a prescribed method to find a root of a nonlinear equation (with knowledge of the strengths and weaknesses of the approach);
Devise or apply independent models or tools to help verify results of analytical systems.
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Perform failure, variation, or root cause analyses.
Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.
Apply analytic methods or tools to understand, predict, or control logistics operations or processes.
Formulate mathematical or simulation models of problems, relating constants and variables, restrictions, alternatives, conflicting objectives, and their numerical parameters.
Perform computations and apply methods of numerical analysis to data.
Remove objects from solutions at periodic intervals and observe objects to verify conformance to specifications.
Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.
Analyze data gathered and develop solutions or alternative methods of proceeding.