Schaum's Easy Outline of Precalculus

Name: Schaum's Easy Outline of Precalculus
Brand: McGraw-Hill Education
Price: 25.49 EUR
Availability: OnlineOnly

Fred Safier(Autor*in)

McGraw-Hill Education (Verlag)

1. Auflage

Erschienen am 16. März 2002

130 Seiten

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978-0-07-139840-4 (ISBN)

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Inhalt

Intro
Copyright
Contents
Chapter 1 Number Systems, Polynomials, and Exponents
Sets of Numbers
Axioms for the Real Number System
Properties of Inequalities
Absolute Value
Complex Numbers
Order of Operations
Polynomials
Sums and Differences of Polynomials
Products of Polynomials
Special Product Forms
Factoring
General Factoring Strategy
Special Factoring Forms
Exponents
Rational and Radical Expressions
Operations on Rational Expressions
Radical Expressions
Conversion of Radical Expression to Exponent Form
Simplification of Radicals
Chapter 2 Equations and Inequalities
Equations
Linear Equations
Quadratic Equations
Radical Equations
Applications
Variation
Inequalities
Linear Inequalities
Nonlinear Inequalities
Absolute Value in Equations and Inequalities
Properties of Absolute Values
Absolute Value in Equations
Absolute Value in Inequalities
Parametric Equations
Chapter 3 Systems of Equations and Partial Fractions
Systems of Equations
Solving Linear Systems in Two Variables
Solving Linear Systems in More than Two Variables
Partial Fraction Decomposition
Alternative Method
Nonlinear Systems of Equations
Chapter 4 Analytic Geometry and Functions
Analytic Geometry
Intercepts
Symmetry
Functions
Increasing, Decreasing, and Constant Functions
Even and Odd Functions
Algebra of Functions
One-To-One Functions
Inverse Functions
Transformations and Graphs
Vertical Shifting
Ver tical Stretching and Compression
Horizontal Shifting
Horizontal Stretching and Compression
Reflection with Respect to a Coordinate Axis
Chapter 5 Algebraic Functions and Their Graphs
Linear Functions
Horizontal and Vertical Lines
Parallel and Perpendicular Lines
Quadratic Functions
Polynomial Functions
Division of Polynomials
Synthetic Division
Theorems about Zeros
Theorems Used in Locating Zeros
Rational Functions
Chapter 6 Exponential and Logarithmic Functions
Exponential Functions
Applications of Exponential Functions
Applications of Logarithmic Functions
Exponential and Logarithmic Equations
Solved Problems
Chapter 7 Conic Sections
Loci
Parabolas
Ellipses
Hyperbolas
Conic Sections
Chapter 8 Trigonometric Functions
Unit Circle
Trigonometric Functions
Trigonometric Identities
Graphs of Sine and Cosine Functions
Graphs of the Other Trigonometric Functions
Angles
Chapter 9 Trigonometric Identities and Trigonometric Inverses
Inverse Trigonometric Functions
Trigonometric Identities
Solving Trigonometric Equations
Sum, Difference, Multiple, and Half-Angle Formulas
Triangles
Polar Coordinates
Chapter 10 Sequences and Series
Sequences
Series
Series Identities
Arithmetic Sequences and Series
Geometric Sequences and Series
Binomial Theorem
Index

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