Introduces mathematical limits, derivatives, and integrals of real-valued functions with applications to optimization, rate of change analysis, and mathematical modeling.
Demonstrate a conceptual knowledge of the derivative as a limit of slopes of secants, as the slope of non-vertical tangents and as the rate of change of one quantity with respect to another
2 O*NET task matches
Batch:
Mathematicians4.1/5
34%ok
Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
Claude Opus 4.6
denied
Mathematicians3.9/5
33%ok
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
Claude Opus 4.6
denied
LO1
Compute limits and derivatives using analytical and graphical methods
0 O*NET task matches
Batch:
No O*NET task matches for this objective.
LO2CIM
Describe the derivative as a function derived from another function
0 O*NET task matches
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No O*NET task matches for this objective.
LO2
Apply the fundamental theorem of calculus to evaluate definite integrals
0 O*NET task matches
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No O*NET task matches for this objective.
LO3CIM
State the definition of the derivative
0 O*NET task matches
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No O*NET task matches for this objective.
LO3
Solve optimization problems to find maximum and minimum values
10 O*NET task matches
Batch:
Mathematicians3.2/5
52%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
Operations Research Analysts4.4/5
49%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 Resea4.2/5
48%ok
Analyze problems to develop solutions involving computer hardware and software.
Claude Opus 4.6
denied
Computer Network Architects4.2/5
47%ok
Develop and implement solutions for network problems.
Claude Opus 4.6
denied
Computer and Information Resea3.6/5
43%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
Mathematicians3.7/5
42%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
Data Scientists
41%ok
Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.
Claude Opus 4.6
denied
Computer Systems Analysts4.0/5
40%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
Statisticians4.2/5
40%ok
Adapt statistical methods to solve specific problems in many fields, such as economics, biology, and engineering.
Claude Opus 4.6
denied
Database Architects3.1/5
40%ok
Establish and calculate optimum values for database parameters, using manuals and calculators.
Claude Opus 4.6
denied
LO4CIM
Find the equation of the tangent line to a curve at a given point
0 O*NET task matches
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No O*NET task matches for this objective.
LO4
Analyze rates of change in physical, economic, and scientific contexts
10 O*NET task matches
Batch:
Biostatisticians3.5/5
45%ok
Develop or use mathematical models to track changes in biological phenomena, such as the spread of infectious diseases.
Claude Opus 4.6
denied
Mathematicians3.7/5
40%ok
Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
Claude Opus 4.6
denied
Mathematicians3.9/5
39%ok
Perform computations and apply methods of numerical analysis to data.
Claude Opus 4.6
denied
Network and Computer Systems A3.8/5
37%ok
Monitor network performance to determine whether adjustments are needed and where changes will be needed in the future.
Claude Opus 4.6
denied
Actuaries4.4/5
36%ok
Analyze statistical information to estimate mortality, accident, sickness, disability, and retirement rates.
Claude Opus 4.6
denied
Statisticians4.3/5
34%ok
Identify relationships and trends in data, as well as any factors that could affect the results of research.
Claude Opus 4.6
denied
Clinical Data Managers3.7/5
34%ok
Evaluate processes and technologies, and suggest revisions to increase productivity and efficiency.
Claude Opus 4.6
denied
Network and Computer Systems A3.6/5
34%ok
Analyze equipment performance records to determine the need for repair or replacement.
Claude Opus 4.6
denied
Document Management Specialist2.8/5
34%ok
Analyze, interpret, or disseminate system performance data.
Claude Opus 4.6
denied
Biostatisticians4.2/5
33%ok
Develop or implement data analysis algorithms.
Claude Opus 4.6
denied
LO5CIM
Sketch the qualitatively valid graph of the derivative of a function presented graphically (formulas not used)
3 O*NET task matches
Batch:
Data Scientists
46%ok
Create graphs, charts, or other visualizations to convey the results of data analysis using specialized software.
Claude Opus 4.6
denied
Biostatisticians4.3/5
40%ok
Prepare tables and graphs to present clinical data or results.
Claude Opus 4.6
denied
Statisticians4.5/5
39%ok
Report results of statistical analyses, including information in the form of graphs, charts, and tables.
Claude Opus 4.6
denied
LO5
Apply differentiation techniques to model real-world phenomena
0 O*NET task matches
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No O*NET task matches for this objective.
LO6CIM
Use the definition of the derivative to find the derivative of a first-degree polynomial
0 O*NET task matches
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LO6
Use integration to compute areas, volumes, and accumulated quantities
0 O*NET task matches
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No O*NET task matches for this objective.
LO7CIM
Find the points on the graph with a vertical tangent
0 O*NET task matches
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No O*NET task matches for this objective.
LO7
Develop mathematical models for scientific and engineering applications
0 O*NET task matches
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No O*NET task matches for this objective.
LO8CIM
Find the points where the derivative is zero for such derived functions as acceleration and velocity
0 O*NET task matches
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No O*NET task matches for this objective.
LO9CIM
State the chain rule in terms of rate of change
0 O*NET task matches
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No O*NET task matches for this objective.
LO10CIM
Demonstrate the role of continuity in evaluating limits graphically and numerically
2 O*NET task matches
Batch:
Data Scientists
36%ok
Create graphs, charts, or other visualizations to convey the results of data analysis using specialized software.
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
LO11CIM
Construct simple epsilon and delta proofs
0 O*NET task matches
Batch:
No O*NET task matches for this objective.
LO12CIM
Compute, without consulting a table of derivatives, derivatives of polynomial functions combining products, sums, quotients, compositions and exponentiations
0 O*NET task matches
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No O*NET task matches for this objective.
LO13CIM
Sketch graphs for polynomial functions giving the rational critical points, indicating concavity, increasing and decreasing regions, and including the behavior near special points
0 O*NET task matches
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No O*NET task matches for this objective.
LO14CIM
Given distance function, derive the velocity and acceleration functions and vice versa
0 O*NET task matches
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No O*NET task matches for this objective.
LO15CIM
Apply implicit differentiation in solving maximum-minimum and related rate problems
0 O*NET task matches
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No O*NET task matches for this objective.
LO16CIM
Define the integral as a limit of Riemann sums and/or as the limit of upper and lower sums
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LO17CIM
Give the geometric interpretations of the definite integral
0 O*NET task matches
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No O*NET task matches for this objective.
LO18CIM
Describe the integral in terms of the antiderivative
0 O*NET task matches
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No O*NET task matches for this objective.
LO19CIM
Understand and apply the fundamental theorem of calculus
0 O*NET task matches
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No O*NET task matches for this objective.
LO20CIM
Understand and apply the Mean Value Theorem
0 O*NET task matches
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No O*NET task matches for this objective.
LO21CIM
Sketch the graph of the antiderivative, F, through (a, b) given a sketch of f
0 O*NET task matches
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No O*NET task matches for this objective.
LO22CIM
Evaluate (approximately) definite integrals using approximate sums
0 O*NET task matches
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No O*NET task matches for this objective.
LO23CIM
Compute areas under a curve
1 O*NET task matches
Batch:
Mathematicians3.9/5
33%ok
Perform computations and apply methods of numerical analysis to data.
Claude Opus 4.6
denied
Source:
Official CIM from EWU
· Matches via cosine similarity (all-MiniLM-L6-v2, 384-dim embeddings)