9780321537096

Ratti and McWaters teach the way you teach. 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. This title offers a faster paced alternative and includes more rigorous topics ideal for students heading for calculus. Graphs and Functions; Polynomial and Rational Functions; Exponential and Logarithmic Functions; Trigonometric Functions; Analytic Trigonometry; Applications of Trigonometric Functions; Systems of Equations and Inequalities; Matrices and Determinants; Analytic Geometry; Further Topics in Algebra For all readers interested in Precalculus.

J.S.Ratti has been teaching mathematics at all levels for over 35 years. He is currently a full professor of mathematics and director of the "Center for Mathematical Services" at the University of South Florida. Professor Ratti is the author of numerous research papers in analysis, graph theory, and probability. He has won several awards for excellence in undergraduate teaching at University of South Florida and known as the coauthor of a successful finite mathematics textbook.

Marcus McWaters is currently the chair of the Mathematics Department at the University of South Florida, a position he has held for the last eleven years. Since receiving his PhD in mathematics from the University of Florida, he has taught all levels of undergraduate and graduate courses, with class sizes ranging from 3 to 250. As chair, he has worked intensively to structure a course delivery system for lower level courses that would improve the low retention rate these courses experience across the country. When not involved with mathematics or administrative activity, he enjoys playing racquetball, spending time with his two daughters, and traveling the world with his wife.

1. Graphs and Functions

1.1 Graphs of Equations

1.2 Lines

1.3 Functions

1.4 A Library of Functions

1.5 Transformations of Functions

1.6 Combining Functions; Composite Functions

1.7 Inverse Functions

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Practice Test A

Chapter 1 Practice Test B

2. Polynomial and Rational Functions

2.1 Quadratic Functions

2.2 Polynomial Functions

2.3 Dividing Polynomials and the Rational Zeros Test

2.4 Zeros of a Polynomial Function

2.5 Rational Functions

2.6 Variation

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Practice Test A

Chapter 2 Practice Test B

Cumulative Review Chapters 1-2

3. Exponential and Logarithmic Functions

3.1 Exponential Functions

3.2 The Natural Exponential Function

3.3 Logarithmic Functions

3.4 Rules of Logarithms

3.5 Exponential and Logarithmic Equations

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Practice Test A

Chapter 3 Practice Test B

Cumulative Review Chapters 1-3

4. Trigonometric Functions

4.1 Angles and Their Measure

4.2 The Unit Circle; Trigonometric Functions of an Angle

4.3 Some Properties of the Trigonometric Functions

4.4 Graphs of the Sine and Cosine Functions

4.5 Graphs of the other Trigonometric Functions

4.6 Inverse Trigonometric Functions

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Practice Test A

Chapter 4 Practice Test B

Cumulative Review Chapters 1-4

5. Analytic Trigonometry

5.1 Trigonometric Identities and Equations

5.2 Trigonometric Equations

5.3 Sum and Difference Formulas

5.4 Double-Angle and Half-Angle Formulas

5.5 Product-to-Sum and Sum-to-Product Formulas

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Practice Test A

Chapter 5 Practice Test B

Cumulative Review Chapters 1-5

6. Applications of Trigonometric Functions

6.1 Right Triangle Trigonometry

6.2 The Law of Sines

6.3 The Law of Cosines

6.4 Vectors

6.5 The Dot Product

6.6 Polar Coordinates

6.7 Polar Form of Complex Numbers; DeMoivre's Theorem

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Practice Test A

Chapter 6 Practice Test B

Cumulative Review Chapters 1-6

7. Systems of Equations and Inequalities

7.1 Systems of Linear Equations in Two Variables

7.2 Systems of Linear Equations in Three Variables

7.3 Partial-Fraction Decomposition

7.4 Systems of Linear Inequalities; Linear Programming

7.5 Nonlinear Systems of Equations and Inequalities

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Practice Test A

Chapter 7 Practice Test B

Cumulative Review Chapters 1-7

8. Matrices and Determinants

8.1 Matrices and Systems of Equations

8.2 Matrix Algebra

8.3 The Matrix Inverse

8.4 Determinants and Cramer's Rule

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Practice Test A

Chapter 8 Practice Test B

Cumulative Review Chapters 1-8

9. Analytic Geometry

9.1 Conic Sections: Overview

9.2 The Parabola

9.3 The Ellipse

9.4 The Hyperbola

9.5 Rotation of Axes

9.6 Polar Equations of Conics

9.7 Parametric Equations

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Practice Test A

Chapter 9 Practice Test B

Cumulative Review Chapters 1-9

10. Further Topics in Algebra

10.1 Sequences and Series

10.2 Arithmetic Sequences; Partial Sums

10.3 Geometric Sequences and Series

10.4 Mathematical Induction

10.5 The Binomial Theorem

10.6 Counting Principles

10.7 Probability

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Practice Test B

Cumulative Review Chapters 1-10

Appendix Review

A1. The Real Numbers; Integer Exponents

A2. Polynomials

A3. Rational Expressions

A4. Rational Exponents and Radicals

A5. Topics in Geometry

A6. Linear equations; Applications

A7. Complex Numbers

A8. Quadratic Equations

A9. Solving Other Types of Equations

A10. Linear Inequalities

A11. Polynomial and Rational Inequalities

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Precalculus : A Unit Circle Approach

Precalculus : A Unit Circle Approach

0321537092

Summary

Author Biography

Table of Contents

Supplemental Materials