MATH241 — Calculus IV

5 credits CIM Verified

Introduces multivariable calculus including partial derivatives, multiple integrals, vector calculus, and applications to physics and engineering.

17
Objectives
19
Matches
19
Reviewed
9
Occupations
Your experience with this course
Top occupation matches for this course
46.2% Mathematicians 6t
39.7% Operations Research Analysts 4t
40.9% Data Scientists 3t
38.0% Database Architects 2t
39.5% Computer and Information Research S 2t

Learning Objectives & Matches

LO1 CIM

Calculate partial derivatives of functions of two or more variables

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LO1

Compute partial derivatives and gradients for multivariable functions

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LO2 CIM

Calculate directional derivatives and gradients for functions of two or more variables

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LO2

Evaluate double and triple integrals in various coordinate systems

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LO3 CIM

Provide a geometrical interpretation of the cross product, directional derivative and gradient

1 O*NET task matches
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Mathematicians 3.9/5
34% ok

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

Claude Opus 4.6 denied
LO3

Apply vector calculus theorems including Green's, Stokes', and Divergence theorems

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LO4 CIM

Find the equation of a plane tangent to a given surface at a specified point

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LO4

Solve multivariable optimization problems using Lagrange multipliers

8 O*NET task matches
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Operations Research Analysts 4.4/5
39% ok

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

Claude Opus 4.6 denied
Mathematicians 3.2/5
37% ok

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

Claude Opus 4.6 denied
Computer and Information Resea 4.2/5
35% ok

Analyze problems to develop solutions involving computer hardware and software.

Claude Opus 4.6 denied
Database Architects 3.1/5
34% ok

Establish and calculate optimum values for database parameters, using manuals and calculators.

Claude Opus 4.6 denied
Computer Systems Analysts 4.0/5
33% ok

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

Claude Opus 4.6 denied
Operations Research Analysts 4.2/5
33% ok

Collaborate with senior managers and decision makers to identify and solve a variety of problems and to clarify management objectives.

Claude Opus 4.6 denied
Statisticians 4.2/5
33% ok

Adapt statistical methods to solve specific problems in many fields, such as economics, biology, and engineering.

Claude Opus 4.6 denied
Data Scientists
30% ok

Identify business problems or management objectives that can be addressed through data analysis.

Claude Opus 4.6 denied
LO5 CIM

Calculate higher-order partial derivatives

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LO5

Model physical phenomena using vector fields and flux calculations

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LO6 CIM

Find and analyze critical points for functions from R^n to R

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LO6

Apply multivariable calculus to engineering and physics problems

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LO7 CIM

Evaluate double and triple integrals

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LO7

Use coordinate transformations for integral evaluation

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LO8 CIM

Apply the techniques of multiple integration and partial derivatives to applied problems

10 O*NET task matches
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Mathematicians 3.7/5
46% 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
Mathematicians 3.2/5
44% ok

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

Claude Opus 4.6 denied
Statisticians 4.2/5
42% ok

Adapt statistical methods to solve specific problems in many fields, such as economics, biology, and engineering.

Claude Opus 4.6 denied
Mathematicians 3.9/5
42% ok

Perform computations and apply methods of numerical analysis to data.

Claude Opus 4.6 denied
Data Scientists
41% ok

Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.

Claude Opus 4.6 denied
Operations Research Analysts 4.4/5
40% ok

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

Claude Opus 4.6 denied
Computer and Information Resea 4.2/5
40% ok

Analyze problems to develop solutions involving computer hardware and software.

Claude Opus 4.6 denied
Database Architects 4.0/5
38% ok

Develop methods for integrating different products so they work properly together, such as customizing commercial databases to fit specific needs.

Claude Opus 4.6 denied
Computer and Information Resea 3.6/5
37% 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
Operations Research Analysts 4.4/5
37% ok

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

Claude Opus 4.6 denied
LO9 CIM

Calculate line and surface integrals

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LO10 CIM

Demonstrate a facility with Green's, the divergence and Stokes' theorems

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Source: Official CIM from EWU · Matches via cosine similarity (all-MiniLM-L6-v2, 384-dim embeddings)