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Classification Structure - Division 230000 - Mathematical Sciences

	Discipline	Subject	Description
	230100		Mathematics
		230101	Mathematical Logic, Set Theory, Lattices and Combinatorics
		230102	Number Theory and Field Theory
		230103	Rings and Algebras
		230104	Category Theory, K Theory, Homological Algebra
		230105	Group Theory and Generalisations (incl Topological Groups and Lie Groups)
		230106	Real and Complex Functions
		230107	Differential, Difference and Integral Equations
		230108	Harmonic and Fourier Analysis
		230109	Functional Analysis
		230110	Calculus of Variations and Control Theory
		230111	Geometry
		230112	Topology and Manifolds
		230113	Dynamical Systems
		230114	Functions of Several Complex Variables
		230115	Approximation Theory
		230116	Numerical Analysis
		230117	Operations Research
		230118	Optimisation
		230119	Systems Theory and Control
		230199	Mathematics not elsewhere classified
	230200		Statistics
		230201	Probability Theory
		230202	Stochastic Analysis and Modelling
		230203	Statistical Theory
		230204	Applied Statistics
		230299	Statistics not elsewhere classified
	239900		Other Mathematical Sciences
		239901	Biological Mathematics
		239902	Actuarial Mathematics
		239903	Risk theory
		239904	Theory of Graduation
		239999	Mathematical Sciences not elsewhere classified

Division 230000 - Mathematical Sciences, covers mathematics, statistics and other mathematical sciences. This division has three disciplines:

230100 - Mathematics
230200 - Statistics
239900 - Other Mathematical Sciences

Exclusions:


(a) Mathematics associated with computer science is included in Division 280000 Information, Computing and Communication Sciences; and

(b) mathematics and statistics applied in economics are included in Division 340000 Economics.

Discipline 230100 - Mathematics

This discipline covers mathematics. This discipline has twenty subjects:

230101 - Mathematical Logic, Set Theory, Lattices and Combinatorics
230102 - Number Theory and Field Theory
230103 - Rings and Algebras
230104 - Category Theory, K Theory, Homological Algebra
230105 - Group Theory and Generalisations (incl. Topological Groups and Lie Groups)
230106 - Real and Complex Functions
230107 - Differential, Difference and Integral Equations
230108 - Harmonic and Fourier Analysis
230109 - Functional Analysis
230110 - Calculus of Variations and Control Theory
230111 - Geometry
230112 - Topology and Manifolds
230113 - Dynamical Systems
230114 - Functions of Several Complex Variables
230115 - Approximation Theory
230116 - Numerical Analysis
230117 - Operations Research
230118 - Optimisation
230119 - Systems Theory and Control
230199 - Mathematics not elsewhere classified

Exclusions:


(a) Mathematics associated with computer science is included in Division 280000 Information, Computing and Communication Sciences;

(b) geodesy is included in Discipline 291000 Geomatic Engineering; and

(c) mathematics applied in economics is included in Division 340000 Economics.

Discipline 230200 - Statistics

This discipline covers statistics. This discipline has five subjects:

230201 - Probability Theory
230202 - Stochastic Analysis and Modelling
230203 - Statistical Theory
230204 - Applied Statistics
230299 - Statistics not elsewhere classified

Exclusions:


Econometrics, time series analysis and related disciplines are included in Discipline 340400 Econometrics.

Discipline 239900 - Other Mathematical Sciences

This discipline covers any mathematical sciences not elsewhere classified. This discipline has five subjects:

239901 - Biological Mathematics
239902 - Actuarial Mathematics
239903 - Risk Theory
239904 - Theory of Graduation
239999 - Mathematical Sciences not elsewhere classified

Exclusions:


(a) Mathematics associated with computer science is included in Division 280000 Information, Computing and Communication Sciences;

(b) mathematics and statistics applied in economics are included in Division 340000 Economics; and

(c) life insurance mathematics is included in Discipline 350300 Banking, Finance and Investment.