Precalculus / Edition 1

Precalculus / Edition 1

by J. S. Ratti, Marcus M. McWaters
     
 

ISBN-10: 032129646X

ISBN-13: 9780321296467

Pub. Date: 06/22/2007

Publisher: Addison Wesley

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.

Overview

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.

Product Details

ISBN-13:
9780321296467
Publisher:
Addison Wesley
Publication date:
06/22/2007
Series:
Ratti/McWaters Series
Edition description:
Older Edition
Pages:
1168
Product dimensions:
8.68(w) x 10.26(h) x 1.66(d)

Related Subjects

Table of Contents

P Basic Concepts of Algebra

P.1 The Real Numbers and Their Properties

P.2 Integer Exponents and Scientific Notation

P.3 Polynomials

P.4 Factoring Polynomials

P.5 Rational Expressions

P.6 Rational Exponents and Radicals

P.7 Topics in Geometry

Chapter P Summary

Chapter P Review Exercises

Chapter P Practice Test A

Chapter P Practice Test B

1 Equations and Inequalities

1.1 Linear Equations in One Variable

1.2 Applications of Linear Equations

1.3 Complex Numbers

1.4 Quadratic Equations

1.5 Solving Other Types of Equations

1.6 Linear Inequalities

1.7 Polynomial and Rational Inequalities

1.8 Equations and Inequalities Involving Absolute Value

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Practice Test A

Chapter 1 Practice Test B

2 Graphs and Functions

2.1 The Coordinate Plane

2.2 Graphs of Equations

2.3 Lines

2.4 Relations and Functions

2.5 A Library of Functions

2.6 Transformations of Functions

2.7 Combining Functions; Composite Functions

2.8 Inverse Functions

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Practice Test A

Chapter 2 Practice Test B

Cumulative Review Chapters P-2

3 Polynomial and Rational Functions

3.1 Quadratic Functions

3.2 Polynomial Functions

3.3 Dividing Polynomials and Rational Zeros Test

3.4 Zeros of a Polynomial Function

3.5 Rational Functions

3.6 Variation

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Practice Test A

Chapter 3 Practice Test B

Cumulative Review Chapters 1-3

4 Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 The Natural Exponential Function

4.3 Logarithmic Functions

4.4 Rules of Logarithms

4.5 Exponential and Logarithmic Equations

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Practice Test A

Chapter 4 Practice Test B

Cumulative Review Chapters 1-4

5 Trigonometric Functions

5.1 Angles and Their Measure

5.2 Right Triangle Trigonometry

5.3 Trigonometric Functions of Any Angle

5.4 Graphs of the Sine and Cosine Functions

5.5 Graphs of the Other Trigonometric Functions

5.6 Inverse Trigonometric Functions

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Practice Test A

Chapter 5 Practice Test B

Cumulative Review Chapters 1-5

6 Analytic Trigonometry

6.1 Trigonometric Identities and Equations

6.2 Verifying Trigonometric Equations

6.3 Trigonometric Equations

6.4 Double- Angle and Half-Angle Formulas

6.5 Product-to-Sum and Sum-to-Product Formulas

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Practice Test A

Chapter 6 Practice Test B

Cumulative Review Chapters 1-6

7 Applications of Trigonometric Functions

7.1 The Law of Sines

7.2 The Law of Cosines

7.3 Vectors

7.4 Polar Coordinates

7.5 Polar Form of Complex Numbers: DeMoivre’s Theorem

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Practice Test A

Chapter 7 Practice Test B

Cumulative Review Chapters 1-7

8 Systems of Equations and Inequalities

8.1 Systems of Linear Equations in Two Variables

8.2 Systems of Linear Equations in Three Variables

8.3 Partial Fraction Decomposition

8.4 Systems of Linear Inequalities; Linear Programming

8.5 Nonlinear Systems of Equations and Inequalities

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Practice Test A

Chapter 8 Practice Test B

Cumulative Review Chapters 1-8

9 Matrices and Determinants

9.1 Matrices and Systems of Equations

9.2 Matrix Algebra

9.3 The Matrix Inverse

9.4 Determinants and Cramer’s Rule

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Practice Test A

Chapter 9 Practice Test B

Cumulative Review Chapters 1-9

10 The Conic Sections

10.1 Conic Sections: Overview

10.2 The Parabola

10.3 The Ellipse

10.4 The Hyperbola

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Practice Test A

Chapter 10 Practice Test B

Cumulative Review Chapters 1-10

11 Further Topics in Algebra

11.1 Sequences and Series

11.2 Arithmetic Sequences; Partial Sums

11.3 Geometric Sequences and Series

11.4 Mathematical Induction

11.5 The Binomial Theorem

11.6 Counting Principles

11.7 Probability

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Practice Test A

Chapter 11 Practice Test B

Cumulative Review Chapters 1-11

Answers to Selected Exercises

Credits

Index of Applications

Index

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