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Mathematics: Mapping iLumina to Math NSDL


 

These columns show the mapping of the iLumina taxonomy to the Mathematics NSDL taxonomy.

 

iLumina Mathematics Classification Scheme Mathematics NSDL Classification Scheme
6.1.0 Numbers and Computation   1.0.0 Numbers and Computation
Number Concepts   1.1.0 Number Concepts
Arithmetic   1.2.0 Arithmetic
Patterns and Sequences   1.3.0 Patterns and Sequences
Measurement   1.4.0 Measurement
       
6.2.0 Algebra   3.1.0 Algebra
Graphing Techniques   3.1.1 Graphing Techniques
Algebraic Manipulation   3.1.2 Algebraic Manipulation
Functions   3.1.3 Functions
Equations   3.1.4 Equations
Inequalities   3.1.5 Inequalities
Matrices   3.1.6 Matrices
Sequences and Series   3.1.7 Sequences and Series
Algebraic Proof   3.1.8 Algebraic Proof
       
6.3.0 Trigonometry   5.9.0 Trigonometry
Angles   5.9.1 Angles
Trigonometric Functions   5.9.2 Trigonometric Functions
Inverse Trigonometric Functions   5.9.3 Inverse Trigonometric Functions
Trigonometric Identities   5.9.4 Trigonometric Identities
Trigonometric Equations   5.9.5 Trigonometric Equations
Roots of Unity   5.9.6 Roots of Unity
Spherical Trigonometry   5.9.7 Spherical Trigonometry
Fractal Geometry   5.10.0 Fractal Geometry
       
6.4.0 Plane Geometry   5.2.0 Plane Geometry
Geometric Proof   5.1.0 Geometric Proof
Measurement   5.2.1 Measurement
Lines and Planes   5.2.2 Lines and Planes
Angles   5.2.3 Angles
Triangles   5.2.4 Triangles
Polygons   5.2.5 Polygons
Circles   5.2.6 Circles
Patterns   5.2.7 Patterns
Transformations   5.2.8 Transformations
       
6.5.0 Solid Geometry   5.3.0 Solid Geometry
Dihedral Angles   5.3.1 Dihedral Angles
Spheres   5.3.2 Spheres
Cones   5.3.3 Cones
Cylinders   5.3.4 Cylinders
Pyramids   5.3.5 Pyramids
Prisms   5.3.6 Prisms
Polyhedra   5.3.7 Polyhedra
       
6.6.0 Analytic Geometry   5.4.0 Analytic Geometry
Cartesian Coordinates   5.4.1 Cartesian Coordinates
Lines   5.4.2 Lines
Circles   5.4.3 Circles
Planes   5.4.4 Planes
Conics   5.4.5 Conics
Polar Coordinates   5.4.6 Polar Coordinates
Parametric Curves   5.4.7 Parametric Curves
Surfaces   5.4.8 Surfaces
Distance Formula   5.4.9 Distance Formula
       
6.7.0 Discrete Mathematics   4.0.0 Discrete Mathematics
Cellular Automata   4.1.0 Cellular Automata
Combinatorics   4.2.0 Combinatorics
Game Theory   4.3.0 Game Theory
Algorithms   4.4.0 Algorithms
Recursion   4.5.0 Recursion
Graph Theory   4.6.0 Graph Theory
Linear Programming   4.7.0 Linear Programming
Order and Lattices   4.8.0 Order and Lattices
Theory of Computation   4.9.0 Theory of Computation
Chaos   4.10 Chaos
       
6.8.0 Data Sets   9.1.0 Data
Data Collection   9.1.1 Data Collection
Data Representation   9.1.2 Data Representation
       
6.9.0 Single Variable Calculus   6.1.0 Single Variable
Functions   6.1.1 Functions
Limits   6.1.2 Limits
Continuity   6.1.3 Continuity
Differentiation   6.1.4 Differentiation
Integration   6.1.5 Integration
Series   6.1.6 Series
       
6.10.0 Multivariate Calculus   6.2.0 Several Variables
Functions of Several Variables   6.2.1 Functions of Several Variables
Limits   6.2.2 Limits
Continuity   6.2.3 Continuity
Partial Derivatives   6.2.4 Partial Derivatives
Multiple Integrals   6.2.5 Multiple Integrals
Taylor Series   6.2.6 Taylor Series
       
6.11.0 Advanced Calculus   6.3.0 Advanced Calculus
Vector Valued Functions   6.3.1 Vector Valued Functions
Line Integrals   6.3.2 Line Integrals
Surface Integrals   6.3.3 Surface Integrals
Stokes Theorem   6.3.4 Stokes Theorem
Curvilinear Coordinates   6.3.5 Curvilinear Coordinates
Linear Spaces   6.3.6 Linear Spaces
Fourier Series   6.3.7 Fourier Series
Orthogonal Functions   6.3.8 Orthogonal Functions
Tensor Calculus   6.4.0 Tensor Calculus
Calculus of Variations   6.5.0 Calculus of Variations
Operational Calculus   6.6.0 Operational Calculus
       
6.12.0 Logic and Foundations   2.0.0 Logic and Foundations
Logic   2.1.0 Logic
Set Theory   2.2.0 Set Theory
Computability and Decidability   2.3.0 Computability and Decidability
Model Theory   2.4.0 Model Theory
       
6.13.0 Linear Algebra   3.2.0 Linear Algebra
Systems of Linear Equations   3.2.1 Systems of Linear Equations
Matrix Algebra   3.2.2 Matrix Algebra
Vectors in R3   3.2.3 Vectors in R3
Vector Spaces   3.2.4 Vector Spaces
Linear Transformations   3.2.5 Linear Transformations
Eigenvalues and Eigenvectors   3.2.6 Eigenvalues and Eigenvectors
Inner Product Spaces   3.2.7 Inner Product Spaces
       
6.14.0 Abstract Algebra   3.3.0 Abstract Algebra
Groups   3.3.1 Groups
Rings and Ideals   3.3.2 Rings and Ideals
Fields   3.3.3 Fields
Galois Theory   3.3.4 Galois Theory
Multilinear Algebra   3.3.5 Multilinear Algebra
Category Theory   3.5.0 Category Theory
K-Theory   3.6.0 K-Theory
Homological Algebra   3.7.0 Homological Algebra
       
6.15.0 Number Theory   3.4.0 Number Theory
Integers   3.4.1 Integers
Primes   3.4.2 Primes
Congruences   3.4.3 Congruences
Diophantine Equations   3.4.4 Diophantine Equations
Irrational Numbers   3.4.5 Irrational Numbers
Coding Theory   3.4.7 Coding Theory
Cryptography   3.4.8 Cryptography
Modular Arithmetic   3.8.0 Modular Arithmetic
       
6.16.0 Advanced Geometry      
Projective Geometry   5.5.0 Projective Geometry
Differential Geometry   5.6.0 Differential Geometry
Algebraic Geometry   5.7.0 Algebraic Geometry
       
6.17.0 Topology   5.8.0 Topology
Point Set Topology   5.8.1 Point Set Topology
General Topology   5.8.2 General Topology
Differential Topology   5.8.3 Differential Topology
Algebraic Topology   5.8.4 Algebraic Topology
       
6.18.0 Difference Equations   8.3.0 Difference Equations
First Order   8.3.1 First Order
Second Order   8.3.2 Second Order
Linear Systems   8.3.3 Linear Systems
Z Transforms   8.3.4 Z Transforms
Orthogonal Polynomials   8.3.5 Orthogonal Polynomials
       
6.19.0 Dynamical Systems   8.4.0 Dynamical Systems
1D Maps   8.4.1 1D Maps
2D Maps   8.4.2 2D Maps
Lyapunov Exponents   8.4.3 Lyapunov Exponents
Bifurcations   8.4.4 Bifurcations
Fractals   8.4.5 Fractals
Differentiable Dynamics   8.4.6 Differentiable Dynamics
Conservative Dynamics   8.4.7 Conservative Dynamics
Chaos   8.4.8 Chaos
Complex Dynamical Systems   8.4.9 Complex Dynamical Systems
       
6.20.0 Ordinary Differential Equations   8.1.0 Ordinary Differential Equations
First Order   8.1.1 First Order
Second Order   8.1.2 Second Order
Linear Oscillations   8.1.3 Linear Oscillations
Nonlinear Oscillations   8.1.4 Nonlinear Oscillations
Systems of Differential Equations   8.1.5 Systems of Differential Equations
Sturm Liouville Problems   8.1.6 Sturm Liouville Problems
Special Functions   8.1.7 Special Functions
Power Series Methods   8.1.8 Power Series Methods
Laplace Transforms   8.1.9 Laplace Transforms
       
6.21.0 Partial Differential Equations   8.2.0 Partial Differential Equations
First Order   8.2.1 First Order
Elliptic   8.2.2 Elliptic
Parabolic   8.2.3 Parabolic
Hyperbolic   8.2.4 Hyperbolic
Integral Transforms   8.2.5 Integral Transforms
Integral Equations   8.2.6 Integral Equations
Potential Theory   8.2.7 Potential Theory
Nonlinear Equations   8.2.8 Nonlinear Equations
Symmetries and Integrability   8.2.9 Symmetries and Integrability
       
6.22.0 Real Analysis   7.1.0 Real Analysis
Metric Spaces   7.1.1 Metric Spaces
Convergence   7.1.2 Convergence
Continuity   7.1.3 Continuity
Differentiation   7.1.4 Differentiation
Integration   7.1.5 Integration
Measure Theory   7.1.6 Measure Theory
       
6.23.0 Complex Analysis   7.2.0 Complex Analysis
Convergence   7.2.1 Convergence
Infinite Series   7.2.2 Infinite Series
Analytic Functions   7.2.3 Analytic Functions
Integration   7.2.4 Integration
Contour Integrals   7.2.5 Contour Integrals
Conformal Mappings   7.2.6 Conformal Mappings
Several Complex Variables   7.2.7 Several Complex Variables
       
6.24.0 Functional Analysis   7.6.0 Functional Analysis
Hilbert Spaces   7.6.1 Hilbert Spaces
Banach Spaces   7.6.2 Banach Spaces
Topological Spaces   7.6.3 Topological Spaces
Locally Convex Spaces   7.6.4 Locally Convex Spaces
Bounded Operators   7.6.5 Bounded Operators
Spectral Theorem   7.6.6 Spectral Theorem
Unbounded Operators   7.6.7 Unbounded Operators
Harmonic Analysis   7.7.0 Harmonic Analysis
Global Analysis   7.8.0 Global Analysis
       
6.25.0 Numerical Analysis   7.3.0 Numerical Analysis
Computer Arithmetic   7.3.1 Computer Arithmetic
Solutions of Equations   7.3.2 Solutions of Equations
Solutions of Systems   7.3.3 Solutions of Systems
Interpolation   7.3.4 Interpolation
Numerical Differentiation   7.3.5 Numerical Differentiation
Numerical Integration   7.3.6 Numerical Integration
Numerical Solutions of ODEs   7.3.7 Numerical Solutions of ODEs
Numerical Solutions of PDEs   7.3.8 Numerical Solutions of PDEs
       
6.26.0 Statistics   9.2.0 Statistics
Elementary Statistics   9.2.1 Elementary Statistics
Sampling   9.2.2 Sampling
Linear Regression   9.2.3 Linear Regression
Nonlinear Regression   9.2.4 Nonlinear Regression
Queuing Theory   9.2.5 Queuing Theory
Bayesian Statistics   9.2.6 Bayesian Statistics
Confidence Testing   9.2.7 Confidence Testing
       
6.27.0 Probability   9.3.0 Probability
Elementary Probability   9.3.1 Elementary Probability
Random Variables   9.3.2 Random Variables
Limit Theorems   9.3.3 Limit Theorems
Brownian Motion   9.3.4 Brownian Motion
Markov Chains   9.3.5 Markov Chains
Probability Measures   9.3.6 Probability Measures
Stochastic Processes   9.3.7 Stochastic Processes
       
6.28.0 Signal Analysis   7.5.0 Signal Analysis
Sampling Theory   7.5.1 Sampling Theory
Filters   7.5.2 Filters
Noise   7.5.3 Noise
Data Compression   7.5.4 Data Compression
Image Processing   7.5.5 Image Processing
       
6.29.0 Integral Transforms   7.4.0 Integral Transforms
Fourier Transforms   7.4.1 Fourier Transforms
Laplace Transforms   7.4.2 Laplace Transforms
Hankel Transforms   7.4.3 Hankel Transforms
Wavelets   7.4.4 Wavelets
Other Transforms   7.4.5 Other Transforms
       
6.30.0 Applied Mathematics   10.0.0 Applied Mathematics
Mathematical Physics   10.1.0 Mathematical Physics
Mathematical Economics   10.2.0 Mathematical Economics
Mathematical Biology   10.3.0 Mathematical Biology
Mathematics for Business   10.4.0 Mathematics for Business
Engineering Mathematics   10.5.0 Engineering Mathematics
Mathematical Sociology   10.6.0 Mathematical Sociology
Mathematics for Social Sciences   10.7.0 Mathematics for Social Sciences
Mathematics for Computer Science   10.8.0 Mathematics for Computer Science
Mathematics for Humanities   10.9.0 Mathematics for Humanities
Consumer Mathematics   10.10.0 Consumer Mathematics
       
6.31.0 Mathematics History   11.0.0 Mathematics History
General   11.1.0 General
Famous Problems   11.2.0 Famous Problems
Biographies of Mathematicians   11.3.0 Biographies of Mathematicians

Developed by: Dr. Russell Herman and Dr. Gabriel Lugo based upon the Mathematics taxonomy developed in 2002 by the Math NSDL 
Taxonomy Committee of the Mathematical Sciences Conference Group on Digital Educational Resources. 

iLumina Digital Library Form ims_math.htm v1.01



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