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### Table of content:

Title Page

Brief Contents

Table of Contents

Preface

Acknowledgements

Focus Group Participants

Chapter 1: Algebra Review

1.1: The Real Number System

1.2: Exponents, Roots, and Radicals

1.3: Polynomials and Factoring

1.4: Rational Expressions

1.5: Linear and Quadratic Equations

1.6: Linear Inequalities

1.7: Equations and Inequalities Involving Absolute Value

1.8: Other Types of Equations

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Test

Chapter 2: Functions and Graphs

2.1: The Coordinate System; Lines and Their Graphs

2.2: Coordinate Geometry, Circles and Other Equations

2.3: Functions

2.4: Graphs of Functions

2.5: Analyzing the Graph of a Function

2.6: The Algebra of Functions

2.7: Transformations of the Graph of a Function

2.8: Linear Functions and Models; Variation

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Test

Chapter 3: Polynomial and Rational Functions

3.1: Quadratic Functions and Their Graphs

3.2: Polynomial Functions and Their Graphs

3.3: Division of Polynomials; the Remainder and Factor Theorems

3.4: Real Zeros of Polynomials; Solutions of Equations

3.5: Complex Numbers

3.6: The Fundamental Theorem of Algebra; Complex Zeros

3.7: Rational Functions

3.8: Quadratic, Polynomial, and Rational Inequalities

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Test

Chapter 4: Exponential and Logarithmic Functions

4.1: Inverse Functions

4.2: Exponential Functions

4.3: Logarithmic Functions

4.4: Properties of Logarithms

4.5: Exponential and Logarithmic Equations

4.6: Exponential, Logistic and Logarithmic Models

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Test

Chapter 5: Trigonometric Functions

5.1: Angles and Their Measures

5.2: Trigonometric Functions Using the Unit Circle

5.3: Right Triangle Trigonometry

5.4: Trigonometric Functions of Any Angle Using Right Triangles

5.5: Graphs of the Sine and Cosine Functions

5.6: Graphs of Other Trigonometric Functions

5.7: Inverse Trigonometric Functions

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Test

Chapter 6: Trigonometric Identities and Equations

6.1: Verifying Identities

6.2: Sum and Difference Identities

6.3: Multiple-Angle Identities; Sum and Product Identities

6.4: Trigonometric Equations

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Test

Chapter 7: Additional Topics in Trigonometry

7.1: The Law of Sines

7.2: The Law of Cosines

7.3: Polar Coordinates

7.4: Graphs of Polar Equations

7.5: Vectors

7.6: Dot Product of Vectors

7.7: Trigonometric Form of a Complex Number

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Test

Chapter 8: Systems of Equations and Inequalities

8.1: Systems of Linear Equations and Inequalities in Two Variables

8.2: Systems of Linear Equations in Three Variables

8.3: Solving Systems of Equations Using Matrices

8.4: Operations with Matrices

8.5: Matrices and Inverses

8.6: Determinants and Cramer’s Rule

8.7: Partial Fractions

8.8: Systems of Nonlinear Equations

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Test

Chapter 9: Conic Sections

9.1: The Parabola

9.2: The Ellipse

9.3: The Hyperbola

9.4: Rotation of Axes; General Form of Conic Sections

9.5: Polar Equations of Conic Sections

9.6: Parametric Equations

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Test

Chapter 10: More Topics in Algebra

10.1: Sequences

10.2: Sums of Terms of Sequences

10.3: General Sequences and Series

10.4: Counting Methods

10.5: Probability

10.6: The Binomial Theorem

10.7: Mathematical Induction

Chapter 10 Summary

Chapter 10 Review Exercise

Chapter 10 Test

Answers

Index

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