Introduces infinite series, Taylor series, polar coordinates, vectors, and parametric curves with applications to approximation and geometric analysis.
Change equations in rectangular coordinates to polar coordinates and vice versa
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LO1
Analyze infinite series for convergence using various tests
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LO2CIM
Correctly identify a graph of an equation given in polar coordinates
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LO2
Apply Taylor series for function approximation and error analysis
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LO3CIM
Identify the equations of spheres, cylinders and surfaces of revolution given in Cartesian coordinates
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LO3
Work with polar coordinates for curves and integration
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LO4CIM
Find area and arclength using polar coordinates
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LO4
Apply vector operations and analysis to geometric problems
7 O*NET task matches
Batch:
Mathematicians3.9/5
37%ok
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
Claude Opus 4.6
denied
Mathematicians3.7/5
35%ok
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Claude Opus 4.6
denied
Mathematicians4.1/5
33%ok
Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
Claude Opus 4.6
denied
Data Scientists
33%ok
Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.
Claude Opus 4.6
denied
Operations Research Analysts3.7/5
33%ok
Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.
Claude Opus 4.6
denied
Computer and Information Resea3.6/5
31%ok
Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.
Claude Opus 4.6
denied
Mathematicians3.9/5
31%ok
Perform computations and apply methods of numerical analysis to data.
Claude Opus 4.6
denied
LO5CIM
Find the radius of convergence of a power series
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LO5
Represent curves using parametric equations and analyze their properties
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LO6CIM
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
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LO6
Use series approximations in computational and scientific applications
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LO7CIM
Give definitions of the terms sequence and infinite series
1 O*NET task matches
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Mathematicians3.9/5
31%ok
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
Claude Opus 4.6
denied
LO7
Model physical phenomena using vectors and parametric representations
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LO8CIM
Given an infinite series, determine whether or not the series converges using the different test for convergence
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LO9CIM
State the necessary and sufficient conditions for convergence of: an infinite series, a series of positive and negative terms, a power series
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LO10CIM
Integrate and differentiate power series
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LO11CIM
Expand a function into its Taylor and Maclaurin series
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LO12CIM
Evaluate functions by using Taylor polynomials
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LO13CIM
Compute dot products and cross products
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LO14CIM
Find the equations of a line and a plane in three dimensions
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LO15CIM
Demonstrate a knowledge of vector valued functions
1 O*NET task matches
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Operations Research Analysts3.7/5
37%ok
Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.
Claude Opus 4.6
denied
LO16CIM
Compute a vector equation of the normal line to a surface and of the tangent line to a curve
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LO17CIM
Demonstrate a facility with curves given parametrically
1 O*NET task matches
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Data Scientists
33%ok
Create graphs, charts, or other visualizations to convey the results of data analysis using specialized software.
Claude Opus 4.6
denied
Source:
Official CIM from EWU
· Matches via cosine similarity (all-MiniLM-L6-v2, 384-dim embeddings)