Instructional programs that focus on the systematic study of logical symbolic language and its applications.
| [ save ] | 1. | Algebra and Number Theory | |
| Matching Occupations: 3 | |||
| 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. | |||
| [ save ] | 2. | Analysis and Functional Analysis | |
| Matching Occupations: 3 | |||
| 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. | |||
| [ save ] | 3. | Applied Mathematics | |
| Matching Occupations: 6 | |||
| 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. (27.0302) Operations Research. (Moved, Report under 14.3701) | |||
| [ save ] | 4. | Applied Mathematics, Other | |
| Matching Occupations: 3 | |||
| Any instructional program in applied mathematics not listed above. | |||
| [ save ] | 5. | Computational Mathematics | |
| Matching Occupations: 3 | |||
| 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. | |||
| [ save ] | 6. | Geometry/Geometric Analysis | |
| Matching Occupations: 3 | |||
| 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. | |||
| [ save ] | 7. | Mathematical Statistics and Probability | |
| Matching Occupations: 3 | |||
| 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. | |||
| [ save ] | 8. | Mathematics and Statistics, Other | |
| Matching Occupations: 4 | |||
| Any instructional program in mathematics and statistics not listed above. | |||
| [ save ] | 9. | Mathematics, General | |
| Matching Occupations: 5 | |||
| 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. | |||
| [ save ] | 10. | Mathematics, Other | |
| Matching Occupations: 2 | |||
| Any program in mathematics not listed above. | |||
| [ save ] | 11. | Statistics, General | |
| Matching Occupations: 3 | |||
| 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. | |||
| [ save ] | 12. | Statistics, Other | |
| Matching Occupations: 1 | |||
| Any instructional program in statistics not listed above. | |||
| [ save ] | 13. | Topology and Foundations | |
| Matching Occupations: 3 | |||
| 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. | |||