Precalculus – Raymond A. Barnett – 7th Edition

CHAPTER R: 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 1: EQUATIONS AND INEQUALITIES

1-1 Linear Equations and Applications

1-2 Linear Inequalities

1-3 Absolute Value

1-4 Complex Numbers

1-5 Quadratic Equations and Applications

1-6 Equations Involving Radicals

Chapter 1 Group Activity: Solving a Cubic Equation

Chapter 1 Review

CHAPTER 2: GRAPHS

2-1 Rectangular Coordinates

2-2 Distance in the Plane

2-3 Equations of a Line

2-4 Linear Equations and Models

Chapter 2 Group Activity: Rates of Average Speed

Chapter 2 Review

CHAPTER 3: FUNCTIONS

3-1 Functions

3-2 Graphing Functions

3-3 Transformations of Functions

3-4 Quadratic Functions

3-5 Combining Functions; Composition

3-6 Inverse Functions

Chapter 3 Group Activity: Mathematical Modeling - Choosing a Cell Phone Plan

Chapter 3 Review

1, 2, & 3 Cumulative Review Exercises

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 Group Activity: Interpolating Polynomials

Chapter 4 Review

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 Group Activity: Growth of Increasing Functions

Chapter 5 Review

4 & 5 Cumulative Review Exercises

CHAPTER 6: TRIGONOMETRIC FUNCTIONS

6-1 Angles and Their Measure

6-2 Trigonometric Functions: A Unit Circle Approach

6-3 Solving Right Triangles

6-4 Trigonometric Functions: Properties and Graphs

6-5 More General Trigonometric Functions

6-6 Inverse 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

7-1 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 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

8-1 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 Group Activity: Conic Sections and Planetary Orbits

Chapter 8 Review

6, 7, & 8 Cumulative Review Exercises

CHAPTER 9: ADDITIONAL TOPICS IN ANALYTIC GEOMETRY

9-1 Conic Sections; Parabola

9-2 Ellipse

9-3 Hyperbola

9-4 Rotation of Axes

Chapter 9 Group Activity: Focal Chords

Chapter 9 Review

CHAPTER 10: SYSTEMS OF EQUATIONS AND INEQUALITIES; 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

Chapter 10 Group Activity: Modeling with Systems of Linear Equations

10-6 Systems of Nonlinear Equations

10-7 Systems of Linear Inequalities

10-8 Linear Programming

Chapter 10 Review

CHAPTER 11: SEQUENCES AND SERIES

11-1 Sequences and Series

11-2 Mathematical Induction

11-3 Arithmetic and Geometric Sequences

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

11-5 Sample Spaces and Probability

11-6 Binomial 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

12-1 Introduction to Limits

12-2 Computing Limits Algebraically

12-3 Limits at Infinity

12-4 The Derivative

12-5 Area and Calculus

Chapter 12 Group Activity: Derivatives of Exponential and Log Functions

Chapter 12 Review