College Algebra with Trigonometry

Hardcover | January 19, 2010

byRaymond Barnett, Michael Ziegler, Karl Byleen

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Barnett, Ziegler, Byleen, and Sobecki’s College Algebra with Trigonometry text is designed to be user friendly and to maximize student comprehension by emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A MathZone site featuring algorithmic exercises, videos, and other resources accompanies the text.

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Barnett, Ziegler, Byleen, and Sobecki’s College Algebra with Trigonometry text is designed to be user friendly and to maximize student comprehension by emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. The large number of pedagogical devices employed in this text will guide a student throug...

Format:HardcoverDimensions:10.9 × 8.8 × 1.4 inPublished:January 19, 2010Publisher:McGraw-Hill EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0077350103

ISBN - 13:9780077350109

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Table of Contents

College Algebra with Trigonometry 9e

CHAPTER R: BASIC ALGEBRAIC OPERATIONS

R-1Algebra and Real Numbers

R-2Exponents and Radicals

R-3Polynomials: Basic Operations and Factoring

R-4Rational Expressions: Basic Operations

Chapter R Review

CHAPTER 1: EQUATIONS AND INEQUALITIES

1-1Linear Equations and Applications

1-2Linear Inequalities

1-3Absolute Value

1-4Complex Numbers

1-5Quadratic Equations and Applications

1-6Equations Involving Radicals

Chapter 1 Group Activity: Solving a Cubic Equation

Chapter 1 Review

CHAPTER 2: GRAPHS

2-1Rectangular Coordinates

2-2Distance in the Plane

2-3Equations of a Line

2-4Linear Equations and Models

Chapter 2 Group Activity: Rates of Change

Chapter 2 Review

CHAPTER 3: FUNCTIONS

3-1Functions

3-2Graphing Functions

3-3Transformations of Functions

3-3Quadratic Functions

3-5Combining Functions; Composition

3-6Inverse Functions

Chapter 3 Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan

Chapter 3 Review

1, 2, & 3 Cumulative Review Exercises

CHAPTER 4: POLYNOMIAL AND RATIONAL FUNCTIONS

4-1Polynomial Functions And Models

4-2Real Zeros and Polynomial Inequalities

4-3Complex Zeros and Rational Zeros of Polynomials

4-4Rational Functions and Inequalities

4-5Variation and Modeling

Chapter 4 Group Activity: Interpolating Polynomials

Chapter 4 Review

CHAPTER 5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS

5-1Exponential Functions

5-2Exponential Models

5-3Logarithmic Functions

5-4Logarithmic Models

5-5Exponential and Logarithmic Equations

Chapter 5 Group Activity: Growth of Increasing Functions

Chapter 5 Review

4 & 5 Cumulative Review Exercises

CHAPTER 6: TRIGONOMETRIC FUNCTIONS

6-1Angles and Their Measure

6-2Right Triangle Trigonometry

6-3Trigonometric Functions: A Unit Circle Approach

6-4Trigonometric Functions: Properties and Graphs

6-5More General Trigonometric Functions

6-6Inverse Trigonometric Functions

Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer

Chapter 6 Review

CHAPTER 7: TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS

7-1Basic Identities and Their Use

7-2Sum, Difference, and Cofunction Identities

7-3Double-Angle and Half-Angle Identities

7-4Product-Sum and Sum-Product Identities

7-5Trigonometric Equations

Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C) - A Harmonic Analysis Tool

Chapter 7 Review

CHAPTER 8: ADDITIONAL TOPICS IN TRIGONOMETRY

8-1Law of Sines

8-2Law of Cosines

8-3Vectors in the Plane

8-4Polar Coordinates and Graphs

8-5Complex Numbers and De Moivre's Theorem

Chapter 8 Group Activity: Conic Sections and Planetary Orbits

Chapter 8 Review

6, 7, & 8 Cumulative Review Exercises

CHAPTER 9: ADDITIONAL TOPICS IN ANALYTIC GEOMETRY

9-1Conic Sections; Parabola

9-2Ellipse

9-3Hyperbola

9-4Rotation of Axes

Chapter 9 Group Activity: Focal Chords

Chapter 9 Review

CHAPTER 10: SYSTEMS OF EQUATIONS AND INEQUALITIES; MATRICES

10-1Systems of Linear Equations

10-2Solving Linear Systems Using Gauss-Jordan Elimination

10-3Matrix Operations

10-4Solving Linear Systems Using Inverse Matrices

10-5Determinants and Cramer's Rule

Chapter 10 Group Activity: Modeling with Systems of Linear Equations

10-6Systems of Nonlinear Equations

10-7Systems of Linear Inequalities

10-8Linear Programming

Chapter 10 Review

CHAPTER 11: SEQUENCES AND SERIES

11-1Sequences and Series

11-2Mathematical Induction

11-3Arithmetic and Geometric Sequences

11-4Counting Techniques: Multiplication Principle, Permutations, and Combinations

11-5Sample Spaces and Probability

11-6Binomial Formula

Chapter 11 Group Activity: Sequences Specified by Recursion Formulas

Chapter 11 Review

9. 10, & 11 Cumulative Review Exercises

CHAPTER 12: LIMITS: AN INTRODUCTION TO CALCULUS

12-1Introduction to Limits

12-2Computing Limits Algebraically

12-3Limits at Infinity

12-4The Derivative

12-5Area and Calculus

Chapter 12 Group Activity: Derivatives of Exponential and Log Functions

Chapter 12 Review

APPENDIX A: SPECIAL TOPICS

A-1Scientific Notation and Significant Digits

A-2Partial Fractions

A-3Parametric Equations

APPENDIX B

B-1Geometric Formulas