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Algebra

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Abstract algebra

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Algebra
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Abstract algebra extends the familiar concepts found in elementary algebra and arithmetic of numbers to more general concepts. Sets: Rather than just considering the different types of numbers, abstract algebra deals with the more general concept of sets: a collection of all objects (called elements) selected by property, specific for the set. All collections of the familiar types of numbers are sets. Other examples of sets include the set of all two-by-two matrices, the set of all second-degree polynomials (ax2 + bx + c), the set of all two dimensional vectors in the plane, and the various finite groups such as the cyclic groups which are the group of integers modulo n. Set theory is a branch of logic and not technically a branch of algebra.

Quick study

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Algebra
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math algeb=ra
It allows the formulation of functional relationships. (For instance, "If you sell x tickets, then your profit will be 3x − 10 dollars, or f(x) = 3x − 10, where f is the function, and x is the number to which the function is applied.")

Expressions and Equations

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Variables

Variables Review of Terminology An expression is a "phrase" that represents a number. An equation sets two expressions equal to each other. A variable is a symbol used to represent a number. In the expression?8x?+ 17?,?x?is the variable. In the equation??= 25?,?y?is the variable. Variables need not be letters; for example, the expression?6?+ 2?contains the variable?. An expression or equation may contain more than one variable. The expression?7 - 3r?+ 12t?contains the variables?r?and?t?, and the equation?6y?= 24x?contains the variables?x?and?y?. An algebraic expression is an expression that contains one or more variables. An algebraic equation is an equation that contains one or more variables.

Trig 2

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Algebra
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Triangles

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Algebra
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? ? ?? ?? ?? ?? ?? ?? ?? ????? Solving Eq & Ineq? ????? Graphs & Func.? ????? Systems of Eq.? ????? Polynomials? ????? Frac. Express.? ????? Powers & Roots? ????? Complex Numbers? ????? Quadratic Eq.? ????? Quadratic Func. ????? Coord. Geo.? ????? Exp. & Log. Func.? ????? Probability? ????? Matrices? ????? Trigonometry? ????? Trig. Identities? ? Equations & Tri.? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ? On this page we hope to clear up problems you might have with trig. functions in equations and triangles (law of sines, etc.). ?Scroll down or click any of the links below to gain a better understanding of trigonometry in equations and triangles. Inverses of trig. ratios Trigonometric equations Triangles Law of sines Law of cosines

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