MATH 163 — CALCULUS III
Learning Objectives & Matches
Change equations in rectangular coordinates to polar coordinates and vice versa
Correctly identify a graph of an equation given in polar coordinates
Calculate orbits and determine sizes, shapes, brightness, and motions of different celestial bodies.
Determine reference points, machine cutting paths, or hole locations, and compute angular and linear dimensions, radii, and curvatures.
Compute dimensions, areas, volumes, and weights.
Determine the quantity and orientation of cargo, and compute an aircraft's center of gravity.
Prepare and alter trace maps, charts, tables, detailed drawings, and three-dimensional optical models of terrain using stereoscopic plotting and computer graphics equipment.
Identify spatial coordinates, using remote sensing and Global Positioning System (GPS) data.
Determine the three-dimensional structure of biological macromolecules.
Compute dimensions, tolerances, and angles of workpieces or machines according to specifications and knowledge of metal properties and shop mathematics.
Calculate the exact horizontal and vertical position of points on the Earth's surface.
Calculate the exact horizontal and vertical position of points on the Earth's surface.
Identify the equations of spheres, cylinders and surfaces of revolution given in Cartesian coordinates
Smooth, polish, and bevel surfaces, using hand tools and power tools.
Compute horizontal and vertical coordinates of control networks, using direct leveling or other geodetic survey techniques, such as triangulation, trilateration, and traversing, to establish features of the Earth's surface.
Identify tire size and ply and inflate tires accordingly.
Identify, scale, and orient geodetic points, elevations, and other planimetric or topographic features, applying standard mathematical formulas.
Visualize and compute dimensions, sizes, shapes, and tolerances of assemblies, based on specifications.
Find area and arclength using polar coordinates
Compute dimensions, areas, volumes, and weights.
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.
Find the radius of convergence of a power series
Determine conditions under which tests are to be conducted, as well as sequences and phases of test operations.
Demonstrate a knowledge of the proper application of l'Hopital rule when given a set of limits which may or may not require the use of the rule
Apply relevant laws, regulations, policies, or precedents to reach conclusions.
Interpret and enforce rules of procedure or establish new rules in situations where there are no procedures already established by law.
Maintain current knowledge of relevant regulations, including proposed and final rules.
Rule on admissibility of evidence and methods of conducting testimony.
Enforce policies and rules governing students.
Ensure that policy requirements are fulfilled, including any necessary medical examinations and the completion of appropriate forms.
Inform supervisors when individual exposures or area radiation levels approach maximum permissible limits.
Explain policies, procedures, or services to patients using medical or administrative knowledge.
Establish and enforce rules for behavior and procedures for maintaining order among the students.
Establish and enforce rules for behavior and policies and procedures to maintain order among students.
Give definitions of the terms sequence and infinite series
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
Given an infinite series, determine whether or not the series converges using the different test for convergence
Determine conditions under which tests are to be conducted, as well as sequences and phases of test operations.
Perform tests to determine if methane gas is present.
Use a variety of testing techniques to assist doctors in cardiac or pulmonary research or to diagnose disorders.
Investigate or report questionable test results.
Perform tests by following physician instructions.
Test system modifications to prepare for implementation.
State the necessary and sufficient conditions for convergence of: an infinite series, a series of positive and negative terms, a power series
Integrate and differentiate power series
Expand a function into its Taylor and Maclaurin series
Evaluate functions by using Taylor polynomials
Compute dot products and cross products
Compute costs of labor and materials to determine production costs of products and articles.
Determine and set product prices.
Find the equations of a line and a plane in three dimensions
Determine the quantity and orientation of cargo, and compute an aircraft's center of gravity.
Initiate or coordinate searches for missing aircraft.
Produce three-dimensional models, using computer-aided design (CAD) software.
Calculate the exact horizontal and vertical position of points on the Earth's surface.
Demonstrate a knowledge of vector valued functions
Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.
Compute a vector equation of the normal line to a surface and of the tangent line to a curve
Calculate the exact horizontal and vertical position of points on the Earth's surface.
Demonstrate a facility with curves given parametrically
Create graphs, charts, or other visualizations to convey the results of data analysis using specialized software.