Classification of Instructional Programs (CIP) Canada 2011

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27. - Mathematics and statistics

This series comprises instructional programs that focus on the systematic study of logical symbolic language and its applications.

27.01 - Mathematics

This subseries comprises instructional program classes 27.0101 to 27.0199.

27.0101 - Mathematics, general

This instructional program class comprises any general program that focuses on the analysis of quantities, magnitudes, forms, and their relationships, using symbolic logic and language. These programs include courses in algebra, calculus, functional analysis, geometry, number theory, logic, topology and other mathematical specializations.

  • Illustrative example(s)

    • mathematics
    • pure mathematics
  • Exclusion(s)

    • applied mathematics(27.0301)
    • logic(38.0102)
    • mathematical physics(40.0810)
    • mathematics and statistics(27.0503)
    • numeracy and computational skills(32.0104)
    • teaching mathematics(13.1311)

27.0102 - Algebra and number theory

This instructional program class comprises any program that focuses on the expression of quantities and their relationships by means of symbols, vectors, matrices, and equations, and the properties of integers. These programs include courses in algebraic structures, quadratic and automorphic forms, combinatorics, linear algebra, and algebraic geometry.

  • Illustrative example(s)

    • algebra
    • algebra and number theory

    All examples

27.0103 - Analysis and functional analysis

This instructional program class comprises any program that focuses on the properties and behaviour of equations, multivariate solutions, functions, and dynamic systems. These programs include courses in differential equations, variation, approximations, complex variables, integrals, harmonic analysis and wavelet theory, dynamic systems, and applications to mathematical physics.

  • Illustrative example(s)

    • analysis and functional analysis

27.0104 - Geometry/geometric analysis

This instructional program class comprises any program that focuses on the properties, measurements, and relationships pertaining to points, lines, angles, surfaces, and solids. These programs include courses in global analysis, differential geometry, Euclidian and non-Euclidian geometry, set theory, manifolds, integral geometry, and applications to algebra and other topics.

  • Illustrative example(s)

    • geometric analysis
    • geometry

27.0105 - Topology and foundations

This instructional program class comprises any program that focuses on the properties of unaltered geometric configurations under conditions of continuous, multi-directional transformations. These programs include courses in mathematical logic, proof theory, model theory, set theory, combinatorics, continua, homotopy, homology, links, and transformation actions.

  • Illustrative example(s)

    • topology
    • topology and foundations
  • Exclusion(s)

    • geological engineering(14.3901)
    • geomatics engineering(14.3801)
    • logic(38.0102)

27.0199 - Mathematics, other

This instructional program class comprises any program not listed above that relates to Mathematics.

  • Exclusion(s)

    • actuarial mathematics(52.1304)
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