Learning Objectives & Matches
1. Demonstrate the ability to analyze algorithms to interpolate data with polynomials.
Perform computations and apply methods of numerical analysis to data.
Perform complex calculations as part of the analysis and evaluation of data, using computers.
Examine theories, such as those of probability and inference, to discover mathematical bases for new or improved methods of obtaining and evaluating numerical data.
Develop or implement data analysis algorithms.
Compute data, such as gear dimensions or machine settings, applying knowledge of shop mathematics.
Compute and analyze data, using statistical formulas and computers or calculators.
Create graphs, charts, or other visualizations to convey the results of data analysis using specialized software.
Interpret data, reports, maps, photographs, or charts to predict long- or short-range weather conditions, using computer models and knowledge of climate theory, physics, and mathematics.
Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.
Prepare data for processing by organizing information, checking for inaccuracies, and adjusting and weighting the raw data.
2. Construct finite-difference schemes in order to approximate solutions to differential equations and analyze their order of approximation
Prepare and deliver lectures to undergraduate or graduate students on topics such as linear algebra, differential equations, and discrete mathematics.
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.
Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.
3. Compute local truncation error and understand its relationship to the global error in a given numerical scheme.
Perform computations and apply methods of numerical analysis to data.
Calculate corrections for refractive errors.
Correct errors by making appropriate changes and rechecking the program to ensure that the desired results are produced.
Program computer numerical control machines.
4. Employ the appropriate numerical technique to approximate a solution of an initial value problem, boundary value problem, or partial differential equation, with careful consideration of initial or boundary data.
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.
Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
Examine theories, such as those of probability and inference, to discover mathematical bases for new or improved methods of obtaining and evaluating numerical data.
Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Create novel computational approaches and analytical tools as required by research goals.
Perform complex calculations as part of the analysis and evaluation of data, using computers.
Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.
Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.