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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