Algebra and Trigonometry, 2nd Edition

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

• ISBN13: 9780470222737
• ISBN10: 0470222735
• Edition: 2nd
• Format: Hardcover
• Copyright: 2009-02-01
• Publisher: Wiley

Summary

Anyone trying to learn algebra and trigonometry may think they understand a concept but then are unable to apply that understanding when they attempt to complete exercises. This innovative book helps them overcome common barriers to learning the concepts and builds confidence in their ability to do mathematics. The second edition presents new sections on modeling at the end of each chapter as well as new material on Limits and Early Functions. Numerous examples are also included that provide more detailed annotations using everyday language. This approach gives them the skills to understand and apply algebra and trigonometry.

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

Modeling Your World

Review

Review Exercises

Practice Test

Cumulative Test

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

Modeling Your World

Review

Review Exercises

Practice Test

Cumulative Test

Graphs

Basic Tools: Cartesian Plane, Distance, and Midpoint

Graphing Equations: Point-Plotting, Intercepts and Symmetry

Lines

Circles

Modeling Your World Review

Review Exercises

Practice Test

Cumulative Test

Functions And Their Graphs

Functions

Graphs of Functions

Piecewise-Defined Functions

Increasing and Decreasing Functions

Average Rate of Change

Graphing Techniques: Transformations

Operation on Functions and Composition of Functions

One-to-One Functions and Inverse Functions

Modeling Functions Using Variation

Modeling Your World Review

Review Exercises

Practice Test

Cumulative Test

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

Modeling Your World

Review

Review Exercises

Practice Test

Cumulative Test

Exponential And Logarithmic Functions

Exponential Functions and Their Graphs

Exponential Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Modeling Your World

Review

Review Exercises

Practice Test

Cumulative Test

Trigonometric Functions

Angles, Degrees and Triangles

Definition 1 of Trigonometric Functions: Right Triangle Ratios

Applications of Right Triangle Trigonometry: Solving Right Triangles

Definition 2 of Trigonometric Functions: Cartesian Plane

Trigonometric Functions of Non-Acute Angles

Radian Measure and Applications

Definition 3 of Trigonometric Functions: Unit Circle Approach

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Modeling Your World

Review

Review Exercises

Practice Test

Cumulative Test

Analytic Trigonometry

Basic Trigonometric Identities

Verifying Trigonometric Identities

Sum and Difference Identities

Double-Angle Identities

Half-Angle Identities

Product-to-Sum and Sum-to-Product Identities

Inverse Trigonometric Functions

Trigonometric Equations

Modeling Your World

Review

Review Exer

Table of Contents provided by Publisher. All Rights Reserved.