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MATHEMATICS AND STATISTICS. Instructional programs that focus on the systematic study of logical symbolic language and its applications.
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27.
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MATHEMATICS AND STATISTICS. Instructional programs that focus on the systematic study of logical symbolic language and its applications.
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27.01
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Mathematics. Instructional content for this group of programs is defined in codes 27.0101 - 27.0199.
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27.0101
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Mathematics, General. A general program that focuses on the analysis of quantities, magnitudes, forms, and their relationships, using symbolic logic and language. Includes instruction in algebra, calculus, functional analysis, geometry, number theory, logic, topology and other mathematical specializations. (Occupational Crosswalk)
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27.0102
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Algebra and Number Theory. (NEW) A program that focuses on the expression of quantities and their relationships by means of symbols, vectors, matrices, and equations, and the properties of integers. Includes instruction in algebraic structures, quadratic and automorphic forms, combinatorics, linear algebra, and algebraic geometry. (Occupational Crosswalk)
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27.0103
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Analysis and Functional Analysis. (NEW) A program that focuses on the properties and behavior of equations, multivariate solutions, functions, and dynamic systems. Includes instruction in differential equations, variation, approximations, complex variables, integrals, harmonic analysis and wavelet theory, dynamic systems, and applications to mathematical physics. (Occupational Crosswalk)
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27.0104
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Geometry/Geometric Analysis. (NEW) A program that focuses on the properties, measurements, and relationships pertaining to points, lines, angles, surfaces, and solids. Includes instruction in global analysis, differential geometry, Euclidian and Non-Euclidian geometry, set theory, manifolds, integral geometry, and applications to algebra and other topics. (Occupational Crosswalk)
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27.0105
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Topology and Foundations. (NEW) A program that focuses on the properties of unaltered geometric configurations under conditions of continuous, multi-directional transformations. Includes instruction in mathematical logic, proof theory, model theory, set theory, combinatorics, continua, homotopy, homology, links, and transformation actions. (Occupational Crosswalk)
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27.0199
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Mathematics, Other. (NEW) Any program in mathematics not listed above. (Occupational Crosswalk)
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27.03
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Applied Mathematics. Instructional content for this group of programs is defined in codes 27.0301- 27.0399.
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27.0301
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Applied Mathematics. A program that focuses on the application of mathematics and statistics to the solution of functional problems in fields such as engineering and the applied sciences. Includes instruction in natural phenomena modeling continuum mechanics, reaction-diffusion, wave propagation, dynamic systems, numerical analysis, controlled theory, asymptotic methods, variation, optimization theory, inverse problems, and applications to specific scientific and industrial topics. (Occupational Crosswalk)
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Econometrics/Quantitative Economics. (Report under 45.0603)
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27.0302
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Operations Research. (Moved, Report under 14.3701) (Occupational Crosswalk)
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27.0303
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Computational Mathematics. (NEW) A program that focuses on the application of mathematics to the theory, architecture, and design of computers, computational techniques, and algorithms. Includes instruction in computer theory, cybernetics, numerical analysis, algorithm development, binary structures, combinatorics, advanced statistics, and related topics. (Occupational Crosswalk)
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27.0399
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Applied Mathematics, Other. Any instructional program in applied mathematics not listed above. (Occupational Crosswalk)
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27.05
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Statistics. Instructional content for this group of programs is defined in codes 27.0501- 27.0599.
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27.0501
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Statistics, General. A general program that focuses on the relationships between groups of measurements, and similarities and differences, using probability theory and techniques derived from it. Includes instruction in the principles in probability theory, binomial distribution, regression analysis, standard deviation, stochastic processes, Monte Carlo method, Bayesian statistics, non-parametric statistics, sampling theory, and statistical techniques. (Occupational Crosswalk)
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Educational Statistics and Research Methods. (Report under 13.0603)
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Biometry/Biometrics. (Report under 26.1101)
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Biostatistics. (Report under 26.1102)
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Psychometrics and Quantitative Psychology. (Report under 42.1901)
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Demography/Population Studies. (Report under 45.0501)
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Actuarial Science. (Report under 52.1304)
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27.0502
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Mathematical Statistics and Probability. (NEW) A program that focuses on the mathematical theory underlying statistical methods and their use. Includes instruction in probability theory parametric and non-parametric inference, sequential analysis, multivariate analysis, Bayesian analysis, experimental design, time series analysis, resampling, robust statistics, limit theory, infinite particle systems, stochastic processes, martingales, Markov processes, and Banach spaces. (Occupational Crosswalk)
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27.0599
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Statistics, Other. (NEW) Any instructional program in statistics not listed above. (Occupational Crosswalk)
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27.99
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Mathematics and Statistics, Other. Instructional content is defined in code 27.9999.
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27.9999
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Mathematics and Statistics, Other. Any instructional program in mathematics and statistics not listed above. (Occupational Crosswalk)
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