Young Intermediate Algebra, 2nd Edition, Advanced High School Edition

by Cynthia Y. Young (Univ. of Central Florida )

• ISBN13: 9780470504833
• ISBN10: 0470504838
• Format: Hardcover
• Copyright: 2009-05-01
• Publisher: Wiley
• More Book Details

Table of Contents

Prerequisites and Review

Real Numbers

Integer Exponents and Scientific Notation

Polynomials: Basic Operations

Factoring Polynomials

Rational Expressions

Rational Exponents and Radicals

Complex Numbers

Equations and Inequalities

Linear Equations

Applications Involving Linear Equations

Quadratic Equations

Other Types of Equations

Linear Inequalities

Polynomial and Rational Inequalities

Absolute Value Equations and Inequalities

Graphs

Basic Tools: Cartesian Plane, Distance, and Midpoint

Graphing Equations: Point-Plotting, Intercepts, and Symmetry

Lines

Circles

Functions and Their Graphs

Functions

Graphs of Functions

Piecewise-Defined Functions

Increasing and Decreasing Functions

Average Rate of Change

Graphing Techniques: Transformations

Operations on Functions and Composition of Functions

One-to-One Functions and Inverse Functions

Modeling Functions Using Variation

Polynomial and Rational Functions

Quadratic Functions

Polynomial Functions of Higher Degree

Dividing Polynomials: Long Division and Synthetic Division

The Real Zeros of a Polynomial Function

Complex Zeros: The Fundamental Theorem of Algebra

Rational Functions

Exponential and Logarithmic Functions

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Systems of Linear Equations and Inequalities

Systems of Linear Equations in Two Variables

Systems of Linear Equations in Three Variables

Partial Fractions

Systems of Linear Inequalities in Two Variables

The Linear Programming Model

Matrices

Matrices and Systems of Linear Equations

Matrix Algebra

Matrix Equations the Inverse of a Square Matrix

The Determinant of a Square Matrix and CramerâÇÖs Rule

Conics and Systems of Nonlinear Equations and Inequalities

Conic Basics

The Parabola

The Ellipse

The Hyperbola

Systems of Nonlinear Equations

Systems of Nonlinear Inequalities

Sequences, Series, and Probability

Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting, Permutations, and Combinations

Probability

Trigonometric Functions

Radian Measure and Applications

Trigonometric Functions: The Unit Circle Approach

Graphs of Sine and Cosine Functions

Answers to Odd Numbered Exercises

Applications Index

Subject Index

Table of Contents provided by Publisher. All Rights Reserved.