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Algebra (all content)

Algebra (all content)

Algebra is a branch of mathematics that deals with symbols and the rules for manipulating these symbols. It encompasses various concepts, including variables, equations, functions, and expressions. Fundamental operations like addition, subtraction, multiplication, and division extend to these symbols. Key topics include linear equations, quadratic equations, polynomials, and inequalities. Algebra also focuses on solving problems and modeling real-world situations. Advanced branches, such as abstract algebra, explore structures like groups, rings, and fields. Algebra serves as a foundational tool in mathematics, enabling the formulation of algorithms, the analysis of relationships, and the development of critical thinking skills essential for various scientific fields.
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Introduction to algebra
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Solving basic equations & inequalities (one variable, linear)
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Linear equations, functions, & graphs
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Sequences
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System of equations
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Two-variable inequalities
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Functions
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Absolute value equations, functions, & inequalities
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Quadratic equations & functions
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Polynomial expressions, equations, & functions
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Exponential & logarithmic functions
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Radical equations & functions
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Rational expressions, equations, & functions
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Trigonometric functions
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Algebraic modeling
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Complex numbers
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Conic sections
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Series & induction
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Vectors
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Matrices