MATH 142 — PRECALCULUS MATH II

Calculate angles and courses and determine vertical and horizontal alignment of courses.

Calculate angles and courses and determine vertical and horizontal alignment of courses.

Select appropriate equipment settings and adjust patient positions to obtain the best sites and angles.

Position and hold the vertical rods, or targets, that theodolite operators use for sighting to measure angles, distances, and elevations.

Locate and mark reference points for columns or plates on boiler foundations, following blueprints and using straightedges, squares, transits, or measuring instruments.

Calculate latitudes, longitudes, angles, areas, or other information for mapmaking, using survey field notes or reference tables.

Calculate the exact horizontal and vertical position of points on the Earth's surface.

Determine reference points, machine cutting paths, or hole locations, and compute angular and linear dimensions, radii, and curvatures.

Calculate the exact horizontal and vertical position of points on the Earth's surface.

Calculate angles and courses and determine vertical and horizontal alignment of courses.

Instruct through lectures, discussions, and demonstrations in one or more subjects, such as English, mathematics, or social studies.

Instruct through lectures, discussions, and demonstrations in one or more subjects, such as English, mathematics, or social studies.

Instruct through lectures, discussions, and demonstrations in one or more subjects, such as English, mathematics, or social studies.

Instruct through lectures, discussions, and demonstrations in one or more subjects, such as English, mathematics, or social studies.

Employ special educational strategies or techniques during instruction to improve the development of sensory- and perceptual-motor skills, language, cognition, or memory.

Employ special educational strategies or techniques during instruction to improve the development of sensory- and perceptual-motor skills, language, cognition, or memory.

Observe teaching methods and examine learning materials to evaluate and standardize curricula and teaching techniques and to determine areas for improvement.

Maintain desired courses, using compasses or electronic navigational aids.

Teach students study skills, note-taking skills, and test-taking strategies.

Prepare graphs, charts, diagrams, or other aids to illustrate observations or conclusions.

Calculate angles and courses and determine vertical and horizontal alignment of courses.

Measure dimensions of products to verify conformance to specifications, using measuring instruments, such as rulers, calipers, gauges, or micrometers.

Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.

Compute dimensions, areas, volumes, and weights.

Compute numbers, widths, and angles of cutting tools, micrometers, scales, and gauges, and adjust tools to produce specified cuts.

Count sections of drill rod to determine depths of boreholes.

Determine orientation of tracts of land, including position, boundaries, size, and shape, using theodolites, electronic distance-measuring equipment, satellite-based positioning equipment, land information systems, or other geodetic survey equipment.

Determine reference points, machine cutting paths, or hole locations, and compute angular and linear dimensions, radii, and curvatures.

Compute dimensions of patterns according to sizes, considering stretching of material.

Calculate angles and courses and determine vertical and horizontal alignment of courses.

Calculate dimensions, square footage, profile and component specifications, and material quantities, using calculator or computer.

Compute layout dimensions, and determine and mark reference points on metal stock or workpieces for further processing, such as welding and assembly.

Verify part dimensions or clearances to ensure conformance to specifications, using precision measuring instruments.

Analyze problems to develop solutions involving computer hardware and software.

Observe the current system in operation, and gather and analyze information about each of the component problems, using a variety of sources.

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.

Use the computer in the analysis and solution of business problems, such as development of integrated production and inventory control and cost analysis systems.

Determine reference points, machine cutting paths, or hole locations, and compute angular and linear dimensions, radii, and curvatures.

Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.

Determine the quantity and orientation of cargo, and compute an aircraft's center of gravity.

Calculate angles and courses and determine vertical and horizontal alignment of courses.

Initiate or coordinate searches for missing aircraft.

Calculate angles and courses and determine vertical and horizontal alignment of courses.

Compute unspecified dimensions and machine settings, using knowledge of metal properties and shop mathematics.

Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.

Collaborate with other operators to solve unit problems.

Calculate weight, volume, or cost of goods to be moved.

Estimate costs for system or component implementation and operation.

Confer with network users about solutions to existing system problems.

Consult with and assist computer operators or system analysts to define and resolve problems in running computer programs.

Identify, scale, and orient geodetic points, elevations, and other planimetric or topographic features, applying standard mathematical formulas.

Perform administrative and management functions related to the practice of law.

Formulate and implement training programs, applying principles of learning and individual differences.

Train users in task techniques or ergonomic principles.

Memorize musical selections and routines, or sing following printed text, musical notation, or customer instructions.

Assign lessons and correct homework.

Employ special educational strategies and techniques during instruction to improve the development of sensory- and perceptual-motor skills, language, cognition, and memory.

Employ special educational strategies and techniques during instruction to improve the development of sensory- and perceptual-motor skills, language, cognition, and memory.

Instruct others in program methods, procedures, or functions.

Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.

Develop teaching materials, such as syllabi, visual aids, answer keys, supplementary notes, or course Web sites.

Instruct students individually and in groups, using various teaching methods, such as lectures, discussions, and demonstrations.

Calculate angles and courses and determine vertical and horizontal alignment of courses.

Perform complex calculations as part of the analysis and evaluation of data, using computers.

Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.

Determine the timing or procedures for flight vector changes.

Determine the quantity and orientation of cargo, and compute an aircraft's center of gravity.

Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.

Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.

Compute dimensions, areas, volumes, and weights.

Implement or test design solutions.

Compute dimensions, areas, volumes, and weights.

Compute dimensions, tolerances, and angles of workpieces or machines according to specifications and knowledge of metal properties and shop mathematics.

Solve problems in a number of engineering fields, such as mechanical, chemical, electrical, civil, nuclear, and aerospace.

Determine and set product prices.

Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.

Compute costs of labor and materials to determine production costs of products and articles.

Compute data, such as gear dimensions or machine settings, applying knowledge of shop mathematics.

Troubleshoot new or existing product problems involving designs, materials, or processes.

Formulate mathematical or simulation models of problems, relating constants and variables, restrictions, alternatives, conflicting objectives, and their numerical parameters.

Determine reference points, machine cutting paths, or hole locations, and compute angular and linear dimensions, radii, and curvatures.

Calculate orbits and determine sizes, shapes, brightness, and motions of different celestial bodies.

Identify, scale, and orient geodetic points, elevations, and other planimetric or topographic features, applying standard mathematical formulas.

Lay out, measure, and mark dimensions and reference lines on material, such as roofing panels, using calculators, scribes, dividers, squares, or rulers.

Draw maps, diagrams, and profiles, using cross-sections and surveys, to represent elevations, topographical contours, subsurface formations, and structures.

Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.

Provide training and interpretation in the use of methods or procedures for observing and checking controls for geodetic and plane coordinates.

Prepare graphs, charts, diagrams, or other aids to illustrate observations or conclusions.

Calculate heights, depths, relative positions, property lines, and other characteristics of terrain.

Lay out and draw schematic, orthographic, or angle views to depict functional relationships of components, assemblies, systems, and machines.

Place strips or sections of paper on surfaces, aligning section edges and patterns.

Position and adjust cutting tools to specified curvature, dimensions, and depth of cut.

Adjust lenses and frames to correct alignment.

Calculate orbits and determine sizes, shapes, brightness, and motions of different celestial bodies.

Identify spatial coordinates, using remote sensing and Global Positioning System (GPS) data.

Provide training and interpretation in the use of methods or procedures for observing and checking controls for geodetic and plane coordinates.

Calculate angles and courses and determine vertical and horizontal alignment of courses.

Prepare graphs, charts, diagrams, or other aids to illustrate observations or conclusions.

Sketch rough and detailed drawings of apparel or accessories, and write specifications such as color schemes, construction, material types, and accessory requirements.

Direct and coordinate the fabrication of models or samples and the drafting of working drawings and specification sheets from sketches.

Sketch or draw objects to be crafted.

Prepare and revise initial game sketches using two- and three-dimensional graphical design software.

Draw sketches to illustrate specified materials or assembly sequence.

Interpret engineering sketches, specifications, or drawings.

Draw maps, diagrams, and profiles, using cross-sections and surveys, to represent elevations, topographical contours, subsurface formations, and structures.

Draw details on outlined parts to indicate where parts are to be joined, as well as the positions of pleats, pockets, buttonholes, and other features, using computers or drafting instruments.

Draw freehand sketches of designs, trace finished drawings onto designated paper for the reproduction of blueprints, and reproduce working drawings on copy machines.

Determine scales, line sizes, or colors to be used for hard copies of computerized maps, using plotters.

Reproduce working drawings on copy machines or trace drawings in ink.

Trim, smooth, and shape surfaces, and plane, shave, file, scrape, and sand models to attain specified shapes, using hand tools.

Trim, smooth, and shape surfaces, and plane, shave, file, scrape, and sand models to attain specified shapes, using hand tools.

Prepare geometric layouts from graphic displays, using computer-assisted drafting software or drafting instruments and graph paper.

Draw master sketches to scale showing relation of proposed installations to existing facilities and exact specifications and dimensions.

Prepare and alter trace maps, charts, tables, detailed drawings, and three-dimensional optical models of terrain using stereoscopic plotting and computer graphics equipment.

Produce electronics drawings or other graphics representing industrial control, instrumentation, sensors, or analog or digital telecommunications networks, using computer-aided design (CAD) software.

Draft detailed dimensional drawings and design layouts for projects to ensure conformance to specifications.

Prepare final project layout drawings that include details such as stress calculations.

Draw and print charts, graphs, illustrations, and other artwork, using computer.

Describe and express observations and conclusions in mathematical terms.

Compute amounts, such as space available, shipping, storage, or demurrage charges, using computer or price list.

Perform financial calculations, such as amounts due, interest charges, balances, discounts, equity, and principal.

Compute sales prices, total purchases, and receive and process cash or credit payment.

Calculate, review, and correct errors on interest, principal, payment, and closing costs, using computers or calculators.

Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.

Compute and verify totals on report forms, requisitions, or bills, using adding machine or calculator.

Extend existing software programs, web-based interactive tools, or database queries as sequence management and analysis needs evolve.

Calculate revenue, sales, and expenses, using financial accounting or spreadsheet software.

Perform complex calculations as part of the analysis and evaluation of data, using computers.

Determine conditions under which tests are to be conducted, as well as sequences and phases of test operations.

Develop system interaction or sequence diagrams.

Develop system interaction or sequence diagrams.

Extend existing software programs, web-based interactive tools, or database queries as sequence management and analysis needs evolve.

Analyze problems to develop solutions involving computer hardware and software.

Use the computer in the analysis and solution of business problems, such as development of integrated production and inventory control and cost analysis systems.

Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.

Analyze operational problems, such as theft and wastage, and establish procedures to alleviate these problems.

Develop and implement solutions for network problems.

Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.