College Algebra with Trigonometry

✍ Scribed by Raymond A. Barnett

• Publisher: McGraw-Hill
• Year: 2010
• Tongue: English
• Leaves: 896
• Series: Barnett, Ziegler, Byleen, and Sobecki precalculus series
• Edition: 9
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Title
Contents
R CHAPTER Basic Algebraic Operations
R-1 Algebra and Real Numbers
R-2 Exponents and Radicals
R-3 Polynomials: Basic Operations and Factoring
R-4 Rational Expressions: Basic Operations
Chapter R Review
Chapter R Review Exercises
CHAPTER 1 Equations and Inequalities
1-1 Linear Equations and Applications
1-2 Linear Inequalities
1-3 Absolute Value in Equations and Inequalities
1-4 Complex Numbers
1-5 Quadratic Equations and Applications
1-6 Additional Equation-Solving Techniques
Chapter 1 Review
Chapter 1 Review Exercises
Chapter 1 Group Activity: Solving a Cubic Equation
CHAPTER 2 Graphs
2-1 Cartesian Coordinate Systems
2-2 Distance in the Plane
2-3 Equation of a Line
2-4 Linear Equations and Models
Chapter 2 Review
Chapter 2 Review Exercises
Chapter 2 Group Activity: Average Speed
CHAPTER 3 Functions
3-1 Functions
3-2 Graphing Functions
3-3 Transformations of Functions
3-4 Quadratic Functions
3-5 Operations on Functions; Composition
3-6 Inverse Functions
Chapter 3 Review
Chapter 3 Review Exercises
Chapter 3 Group Activity: Mathematical Modeling: Choosing a Cell Phone Plan
CHAPTER 4 Polynomial and Rational Functions
4-1 Polynomial Functions, Division, and Models
4-2 Real Zeros and Polynomial Inequalities
4-3 Complex Zeros and Rational Zeros of Polynomials
4-4 Rational Functions and Inequalities
4-5 Variation and Modeling
Chapter 4 Review
Chapter 4 Review Exercises
Chapter 4 Group Activity: Interpolating Polynomials
CHAPTER 5 Exponential and Logarithmic Functions
5-1 Exponential Functions
5-2 Exponential Models
5-3 Logarithmic Functions
5-4 Logarithmic Models
5-5 Exponential and Logarithmic Equations
Chapter 5 Review
Chapter 5 Review Exercises
Chapter 5 Group Activity: Comparing Regression Models
CHAPTER 6 Trigonometric Functions
6-1 Angles and Their Measure
6-2 Right Triangle Trigonometry
6-3 Trigonometric Functions: A Unit Circle Approach
6-4 Properties of Trigonometric Functions
6-5 More General Trigonometric Functions and Models
6-6 Inverse Trigonometric Functions
Chapter 6 Review
Chapter 6 Review Exercises
Chapter 6 Group Activity: A Predator–Prey Analysis Involving Mountain Lions and Deer
CHAPTER 7 Trigonometric Identities and Conditional Equations
7-1 Basic Identities and Their Use
7-2 Sum, Difference, and Cofunction Identities
7-3 Double-Angle and Half-Angle Identities
7-4 Product–Sum and Sum–Product Identities
7-5 Trigonometric Equations
Chapter 7 Review
Chapter 7 Review Exercises
Chapter 7 Group Activity: From M sin Bt � N cos Bt to A sin (Bt � C)—A Harmonic Analysis Tool
CHAPTER 8 Additional Topics in Trigonometry
8-1 Law of Sines
8-2 Law of Cosines
8-3 Vectors in the Plane
8-4 Polar Coordinates and Graphs
8-5 Complex Numbers and De Moivre’s Theorem
Chapter 8 Review
Chapter 8 Review Exercises
Chapter 8 Group Activity: Polar Equations of Conic Sections
CHAPTER 9 Additional Topics in Analytic Geometry
9-1 Conic Sections; Parabola
9-2 Ellipse
9-3 Hyperbola
9-4 Translation and Rotation of Axes
Chapter 9 Review
Chapter 9 Review Exercises
Chapter 9 Group Activity: Focal Chords
CHAPTER 10 Systems of Equations and Matrices
10-1 Systems of Linear Equations
10-2 Solving Systems of Linear Equations Using Gauss-Jordan Elimination
10-3 Matrix Operations
10-4 Solving Systems of Linear Equations Using Matrix Inverse Methods
10-5 Determinants and Cramer’s Rule
Additional Topics Available Online: (Visit www.mhhe.com/barnett) 10-6 Systems of Nonlinear Equations 10-7 System of Linear In Equalities in Two Variables 10-8 Linear Programming Chapter 10 Review
Chapter 10 Review Exercises
Chapter 10 Group Activity: Modeling with Systems of Linear Equations
CHAPTER 11 Sequences, Induction, and Probability
11-1 Sequences and Series
11-2 Mathematical Induction
11-3 Arithmetic and Geometric Sequences
11-4 Multiplication Principle, Permutations, and Combinations
11-5 Sample Spaces and Probability
11-6 The Binomial Formula
Chapter 11 Review
Chapter 11 Review Exercises
Chapter 11 Group Activity: Sequences Specified by Recursion Formulas
Appendix A Cumulative Review Exercises
Appendix B Special Topics
Appendix C Geometric Formulas
Student Answers SA1 Instructor Answers
Subject Index