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Precalculus: A Unit Circle Approach, CourseSmart eTextbook, 2nd Edition

By Marcus S. McWaters, Jogindar Ratti

Published by Pearson

Published Date: Jan 25, 2013

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Ratti and McWaters wrote this series with the primary goal of preparing students to be successful in calculus. Having taught both calculus and precalculus, the authors saw firsthand where students would struggle, where they needed help making connections, and what material they needed in order to succeed in calculus. Their experience in the classroom shows in each chapter, where they emphasize conceptual development, real-life applications, and extensive exercises to encourage a deeper understanding. Precalculus: A Unit Circle Approach, Second Edition, offers the best of both worlds: rigorous topics and a friendly, “teacherly” tone.

Table of Contents

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 Logarithmic Functions

3.3 Rules of Logarithms

3.4 Exponential and Logarithmic Equations and Inequalities

3.5 Logarithmic Scales

            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 Real Numbers

4.3 Trigonometric Functions of Angles

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 Equations in Two Variables

7.2 Systems of Linear Equations in Three Variables

7.3 Matrices and Systems of Equations

7.4 Determinants and Cramer's Rule

7.5 Partial–Fraction Decomposition

7.6 Matrix Algebra

7.7 The Matrix Inverse

7.8 Systems of Inequalities

            Chapter 7 Summary

            Chapter 7 Review Exercises

            Chapter 7 Practice Test A

            Chapter 7 Practice Test B

            Cumulative Review Chapters 1–7


8. Analytic Geometry

8.1 Conic Sections: Overview

8.2 The Parabola

8.3 The Ellipse

8.4 The Hyperbola

8.5 Rotation of Axes

8.6 Polar Equations of Conics

8.7 Parametric Equations

            Chapter 8 Summary

            Chapter 8 Review Exercises

            Chapter 8 Practice Test A

            Chapter 8 Practice Test B

            Cumulative Review Chapters 1–8


9. Further Topics in Algebra

9.1 Sequences and Series

9.2 Arithmetic Sequences; Partial Sums

9.3 Geometric Sequences and Series

9.4 Mathematical Induction

9.5 The Binomial Theorem

9.6 Counting Principles

9.7 Probability

            Chapter 9 Summary

            Chapter 9 Review Exercises

            Chapter 9 Practice Test A

            Chapter 9 Practice Test B

            Cumulative Review Chapters 1–9


Appendix Review

A1. The Real Numbers; Integer Exponents

A2. Polynomials

A3. Rational Expressions

A4. Radicals and Rational Exponents

A5. Topics in Geometry

A6. Equations

A7. Inequalities

A8. Complex Numbers


Answers to Selected Exercises


Index of Applications


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Precalculus: A Unit Circle Approach, CourseSmart eTextbook, 2nd Edition
Format: Safari Book

$101.99 | ISBN-13: 978-0-321-82587-2