Learning Objectives & Matches
Calculate the solutions to problems related to difference equations
Collaborate with other operators to solve unit problems.
Compute total charges for merchandise or services and shipping charges.
Calculate duty and tariff payments owed on shipments.
Analyze problems to develop solutions involving computer hardware and software.
Formulate mathematical or simulation models of problems, relating constants and variables, restrictions, alternatives, conflicting objectives, and their numerical parameters.
Observe the current system in operation, and gather and analyze information about each of the component problems, using a variety of sources.
Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.
Explain in detail the proof that period three implies chaos
Calculate the dimension of a fractal
Compute dimensions of patterns according to sizes, considering stretching of material.
Compute dimensions, areas, volumes, and weights.
Verify dimensions of completed patterns, using templates, straightedges, calipers, or protractors.
Visualize and compute dimensions, sizes, shapes, and tolerances of assemblies, based on specifications.
Verify conformance of patterns or template dimensions to specifications, using measuring instruments such as calipers, scales, and micrometers.
Measure dimensions of products to verify conformance to specifications, using measuring instruments, such as rulers, calipers, gauges, or micrometers.
Determine reference points, machine cutting paths, or hole locations, and compute angular and linear dimensions, radii, and curvatures.
Draw building diagrams and record dimensions.
Calculate heights, depths, relative positions, property lines, and other characteristics of terrain.
Compute unspecified dimensions and machine settings, using knowledge of metal properties and shop mathematics.
Explain in detail the collage theorem and its application to image mapping
Transfer or rescale information from original photographs onto maps or other photographs.
Trim, align, and join prints to form photographic mosaics, maintaining scaled distances between reference points.
Measure and mark surfaces to be tiled, following blueprints.
Draw or read maps, such as soil, contour, or plat maps.
Establish fixed points for use in making maps, using geodetic and engineering instruments.
Make photocopies of correspondence, documents, and other printed matter.
Produce images of objects on film, using radiographic techniques.
Merge scanned images or build photo mosaics of large areas, using image processing software.
Photograph objects for documentation.
Select photographs, drawings, sketches, diagrams, and charts to illustrate material.
Explain the relationship between matroids and different algorithms for solving problems
Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
Formulate mathematical or simulation models of problems, relating constants and variables, restrictions, alternatives, conflicting objectives, and their numerical parameters.
Develop and implement solutions for network problems.
Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.
Specify manipulative or computational methods to be applied to models.
Adapt statistical methods to solve specific problems in many fields, such as economics, biology, and engineering.
Examine theories, such as those of probability and inference, to discover mathematical bases for new or improved methods of obtaining and evaluating numerical data.
Perform statistical analyses, such as social network pattern analysis, network modeling, discrete event simulation, agent-based modeling, statistical natural language processing, computational sociology, mathematical optimization, or systems dynamics.
Design and apply bioinformatics algorithms including unsupervised and supervised machine learning, dynamic programming, or graphic algorithms.
Create novel computational approaches and analytical tools as required by research goals.
Identify the complexity class of a problem
Evaluate project work to ensure effectiveness, technical adequacy, or compatibility in the resolution of complex electronics engineering problems.
Analyze problems to develop solutions involving computer hardware and software.
Gather and organize information on problems or procedures.
Determine project requirements, such as scope, assembly sequences, or required methods or materials, using blueprints, drawings, or written or verbal instructions.
Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.
Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
Determine work assignments and procedures.
Issue patterns to designated machine operators.
Analyze electronics system requirements, capacity, cost, or customer needs to determine project feasibility.
Analyze complex systems to determine potential for further development, production, interoperability, compatibility, or usefulness in a particular area, such as aviation.
Explain how Cook's theorem that 2-SAT is NP-Complete works
Cook foodstuffs according to menus, special dietary or nutritional restrictions, or numbers of portions to be served.
Read work orders, recipes, or formulas to determine cooking times and temperatures, and ingredient specifications.
Prove results related to games and the surreal number system
Start and control games and gaming equipment, and announce winning numbers or colors.
Compute and verify amounts won or lost, paying out winnings or referring patrons to workers, such as gaming cashiers, so that winnings can be collected.
Open and close cash floats and game tables.
Review or evaluate competitive products, film, music, television, and other art forms to generate new game design ideas.
Remove suspected cheaters, such as card counters or other players who may have systems that shift the odds of winning to their favor.
Refer patrons to gaming cashiers to collect winnings.
Stand behind a gaming table and deal the appropriate number of cards to each player.
Present new game design concepts to management and technical colleagues, including artists, animators, and programmers.
Apply rule variations to card games such as poker, in which players bet on the value of their hands.
Document all aspects of formal game design, using mock-up screenshots, sample menu layouts, gameplay flowcharts, and other graphical devices.
Calculate the number of a game
Compute amounts of players' wins or losses, or scan winning tickets presented by patrons to calculate the amount of money won.
Stand behind a gaming table and deal the appropriate number of cards to each player.
Play from memory or by following scores.
Compute and verify amounts won or lost, paying out winnings or referring patrons to workers, such as gaming cashiers, so that winnings can be collected.
Pay winnings or collect losing bets as established by the rules and procedures of a specific game.
Start and control games and gaming equipment, and announce winning numbers or colors.
Direct the distribution of complimentary hotel rooms, meals, or other discounts or free items given to players, based on their length of play and betting totals.
Analyze the strengths and weaknesses of opposing teams to develop game strategies.
Refer patrons to gaming cashiers to collect winnings.
Apply rule variations to card games such as poker, in which players bet on the value of their hands.