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Two-dimensional plot (red curve) of the algebraic equation . Elementary algebra, also known as college algebra, [1] encompasses the basic concepts of algebra. It is often contrasted with arithmetic: arithmetic deals with specified numbers, [2] whilst algebra introduces variables (quantities without fixed values). [3]
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of statements within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations such as addition and multiplication.
The Number System of Algebra (1891; second edition, 1903) PDF/DjVu copy from Internet Archive. A College Algebra (1904) Coördinate Geometry, with Henry Dallas Thompson (1909) PDF Copy from University of Michigan Historical Math Collection. Calculus (1927)
College algebra is offered at many community colleges as remedial courses for students who did not pass courses before Calculus. [69] 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.
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.
Calculus. In mathematics education, precalculus is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus, thus the name precalculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework. [1]
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