College Algebra and Trigonometry

by Ratti, J. S.; McWaters, Marcus S.

• ISBN13: 9780321296429
• ISBN10: 0321296427
• Edition: 1st
• Format: Hardcover
• Copyright: 2008-01-01
• Publisher: Addison Wesley

Summary

Ratti and McWaters write at a level that professors want and in a way that will engage students. Included are relevant and interesting applications; clear, helpful examples; and lots and lots of exercises--all the tools that you and your students need to succeed.

Table of Contents

Basic Concepts of Algebra

The Real Numbers and their properties

Integer Exponents and Scientific Notation

Polynomials

Factoring Polynomials

Rational Expressions

Rational Exponents and Radicals

Topics in Geometry Chapter Summary Review Exercises Chapter Tests

Equations and Inequalities

Linear Equations in One Variable

Applications with Linear Equations

Complex Numbers

Quadratic Equations

Solving Other Types of Equations

Linear Inequalities

Polynomial and Rational Inequalities

Equations and Inequalities involving Absolute Value Chapter Summary Review Exercises Chapter Tests

Graphs and Functions

The Coordinate Plane

Graphs of Equations

Lines

Relations and Functions

A Library of Functions

Transformations of Functions

Combining Functions; Composite Functions

Inverse Functions Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises

Polynomial and Rational Functions

Quadratic Functions

Polynomial Functions

Dividing Polynomials and Rational Zeros Test

Zeros of Polynomial Functions

Rational Functions

Variation Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises

Exponential and Logarithmic Functions

Exponential Functions

The Natural Exponential Function

Logarithmic Functions 44 Rules of Logarithms

Exponential and Logarithmic Equations Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises

Trigonometric Functions

Angles and Their Measure

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Trigonometric Functions of General Angles

Graphs of the Sine and Cosine Functions

Graphs of the Other Trigonometric Functions

Inverse Trigonometric Functions Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises

Analytic Trigonometry

Fundamental Trigonometric Identities

Verifying Trigonometric Identities

Trigonometric Equations

Sum and Difference Formulas

Double-Angle and Half-Angle Formulas

Product-to-Sum and Sum-to-Product Formulas Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises

Applications of Trigonometric Functions

Law of Sines

Law of Cosines

Vectors and Dot Products

Power Equations and Graphs

Trigonometric Form of Complex Numbers

Parametric Equations Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises

Systems of Equations and Inequalities

Systems of Linear Equations in Two Variables

Systems of Linear Equations in Three Variables

Partial Fraction Decomposition

Systems of Linear Inequalities; Linear Programming

Nonlinear Systems of Equations and Inequalities Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises

Matrices and Determinants

Matrices and Systems of Equations

Matrix Algebra

The Matrix Inverse

Determinants and Cramers Rule Chapter Summary Review Exercises

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