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The test for Grades 9-12 covers the subjects under Grades 6-8 plus exponentiation, logarithms, trigonometric functions, inverse trigonometric functions, iterative solutions for transcendental equations, differential and integral calculus, elementary statistics and matrix algebra. For Grades 6-8, each school may send up to three students.
The word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]
A typical sequence of secondary-school (grades 6 to 12) courses in mathematics reads: Pre-Algebra (7th or 8th grade), Algebra I, Geometry, Algebra II, Pre-calculus, and Calculus or Statistics. However, some students enroll in integrated programs [3] while many complete high school without passing Calculus or Statistics.
Microsoft Math Solver (formerly Microsoft Mathematics and Microsoft Math) is an entry-level educational app that solves math and science problems. Developed and maintained by Microsoft, it is primarily targeted at students as a learning tool. Until 2015, it ran on Microsoft Windows.
The Texas Education Agency says that the STAAR program for grades 3–8 will assess the same subjects as TAKS did, but that for high school "...grade-specific assessments will be replaced with 12 end-of-course (EOC) assessments: Algebra I, Geometry, Algebra II, biology, chemistry, physics, English I, English II, English III, world geography ...
Elementary Calculus: An Infinitesimal Approach; Nonstandard calculus; Infinitesimal; Archimedes' use of infinitesimals; For further developments: see list of real analysis topics, list of complex analysis topics, list of multivariable calculus topics
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PARI/GP is a computer algebra system that facilitates number-theory computation. Besides support of factoring, algebraic number theory, and analysis of elliptic curves, it works with mathematical objects like matrices, polynomials, power series, algebraic numbers, and transcendental functions. [3]
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