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ALGEBRA STUDY GUIDEBoost Your grades with this illustrated study guide. You will use it from high school all the way to graduate school and beyond. FREE first 3 chapters in the trial version.
Audience:Intended for everyone interested in Math and Science, particularly high school and undergraduate students. Features:
Table of Contents:Introduction: Simple Operations  Exponents and Powers  Order of Operations  Variables and Expressions  Working With Negative Numbers  Solving Equations Using Properties of Mathematics Real Numbers: Integers and the Number Line  Absolute Value  Rational Numbers  Adding Rational Numbers  Postulates for The Natural Numbers  Combining Like Terms  Real Numbers  Irrational Number Functions: Function as Box  Function as Relation  Domain and Range  Terminology  Piecewisedefined function  Even and odd functions  Composite function  Inverse function Solving Equations: Quadratic equations  Factorization  Completing the square  Quadratic Formula  Weda's Theorem  Systems of Linear Equations  Solving Equations Properties  Solving simultaneous linear and nonlinear equations Linear Inequalities: Solving linear inequalities  Properties  Solving Inequalities  Compound Inequalities  Solving Inequalities with Absolute Value Systems of Linear Equations: Linear Equation  Systems of Simultaneous Equations  Linear Simultaneous Equations with Two Variables  Solving Linear Simultaneous Equations  Elimination by Addition Method  Elimination by Substitution Method  Slopes of Parallel and Perpendicular Lines  Solving Systems of Simultaneous Equations Involving Equations Of Degree 2  Solving Systems of Simultaneous Equations Using a Graphing Calculator Polynomials: Polynomial Equations  Solving Polynomial Equations  Rational roots of polynomial equations  Factoring Polynomials  Binomial Theorem  Quadratic Functions  Cubic Equation Conic Sections: Circle  Analytic results  Properties  An alternative definition of a circle  Calculating the parameters of a circle  Fundamental Number Pi  Ellipse  Eccentricity, Equations  Semilatus rectum and polar coordinates  Area  Parabola  Definitions  Derivation of the focus  Analyzing the Parabola  Hyperbola  Definitions  Equations  Conic Sections Logarithms and Exponentials Functions: Logarithms definition  Properties of Logarithms  Change of Base Formula  Operations With Exponential Function  Multiplication  The Laws of Exponents  Logarithmic Functions  Laws of Logarithmic Functions  Iteration Complex Numbers: Introduction  Definition  Properties  The Argand Plane  Euler's formula  Forming trigonometric identities Sequences and Series: Sequence  Sequences in analysis  Series  Infinite sequences  Series  Infinite series  Types of infinite series  Power series  Arithmetic progression  Geometric progression Discrete Functions: Combinatorics  Permutation  Combination  Binomial Coefficient  Pascal's triangle  Combinatorics and statistics  Formulae involving binomial coefficients  Generating functions  Newton's binomial series
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