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Basic mathematics. This branch is typically taught in secondary education or in the first year of university. Outline of arithmetic. Outline of discrete mathematics. List of calculus topics. List of geometry topics. Outline of geometry. List of trigonometry topics. Outline of trigonometry.
College algebra is offered at many community colleges as remedial courses for students who did not pass courses before Calculus. It should not be confused with abstract algebra and linear algebra , taken by students who major in mathematics and allied fields (such as computer science) in four-year colleges and universities.
Complete JACS (Joint Academic Classification of Subjects) from Higher Education Statistics Agency (HESA) in the United Kingdom Australian and New Zealand Standard Research Classification (ANZSRC 2008) ( web-page ) Chapter 3 and Appendix 1: Fields of research classification.
Mathematics is a broad subject that is commonly divided in many areas that may be defined by their objects of study, by the used methods, or by both. For example, analytic number theory is a subarea of number theory devoted to the use of methods of analysis for the study of natural numbers . This glossary is alphabetically sorted.
A. Algebra (16 C, 69 P) Mathematical analysis (19 C, 180 P) Applied mathematics (31 C, 118 P) Arithmetic (13 C, 40 P)
Mathematical sciences. The mathematical sciences are a group of areas of study that includes, in addition to mathematics, those academic disciplines that are primarily mathematical in nature but may not be universally considered subfields of mathematics proper. Statistics, for example, is mathematical in its methods but grew out of bureaucratic ...
Trigonometric substitution. Partial fractions in integration. Quadratic integral. Proof that 22/7 exceeds π. Trapezium rule. Integral of the secant function. Integral of secant cubed. Arclength. Solid of revolution.
This is a list of mathematical theories. Almgren–Pitts min-max theory; Approximation theory; Arakelov theory; Artin–Schreier theory; Asymptotic theory; Automata ...