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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