Central Administration Page Science Education Resource Center | Carleton College

## SERC Vocabularies

These controlled vocabularies are under development at SERC. They vary widely in terms of refinement and the degree to which they have been tested with users. None represents a finished product. Caveat emptor.

## Quantitative Skills Vocabulary 1.0 View as JSON

• Calculus and Analysis
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• Approximation of Functions
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• Concept of Function
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• Derivative
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• Fourier Series and Transforms
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• Integral
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• Level Sets/Contours/Surfaces
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• Line/Surface Integrals
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• Multiple Integrals
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• Ordinary Differential Equations
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• Partial Derivatives
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• Partial Differential Equations
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• Series
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• Spectral Analysis
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• Vector Fields
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• Functions
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• Exponential
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• Linear
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• Logarithm
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• Polynomial
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• Power
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• Rational
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• Trigonometric
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• Basic Skills
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• Arithmetic
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• Complex Numbers
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• Curve Fitting
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• Exponents
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• Logarithms
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• Optimization
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• Proof
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• Scientific Notation
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• Simple Equations
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• Units
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• Geometry and Trigonometry
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• 3D
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• Area/Volume
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• Conic Sections
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• Coordinate Systems
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• Dimension
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• Lines
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• Planes
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• Pythagorean Theorem
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• Regular Solids
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• Symmetry
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• Trigonometry
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• Graphs
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• Asymptotes
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• Interpretation of Graphical Information
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• Log-log/Log-linear Plots
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• Relationships Among Variables
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• Schematics
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• Visualization of Data
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• Higher Order Skills
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• Estimation
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• Information Literacy
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• Models
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• Order of Magnitude Calculations
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• Problem Solving
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• Problem Solving Strategies
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• Speaking
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• Writing
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• Linear Mathematics
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• Eigenvalues and Eigenvectors
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• Linear Transformations
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• Matrices
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• Orthogonality
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• Systems of Equations
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• Vectors
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• Interdisciplinary Concepts
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• Group Theory
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• Mechanics
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• Numerical Methods
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• Optimization
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• Simulation
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• Waves
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• Probability and Statistics
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• Analysis of Variance
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• Design of Experiments
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• Distributions
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• Exploratory Data Analysis
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• Hypothesis Testing
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• Markov Chains
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• Non-Parametric Statistics
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• Probability
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• Random Variables
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• Regression
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• Sampling
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• Sampling Distributions
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• Spatial Statistics
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• Technology
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• Elementary Programming
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• Graphing Calculators
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• Mathematical Software
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