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