Precalculus: Graphs & Models – Raymond A. Barnett – 3rd Edition

CHAPTER 1 FUNCTIONS, GRAPHS, AND MODELS
1-1 Using Graphing Utilities
1-2 Functions
1-3 Functions: Graphs and Properties
1-4 Functions: Graphs and Transformations
1-5 Operations on Functions; Composition
1-6 Inverse Functions

CHAPTER 2 MODELING WITH LINEAR AND QUADRATIC FUNCTIONS
2-1 Linear Functions
2-2 Linear Equations and Models
2-3 Quadratic Functions
2-4 Complex Numbers
2-5 Quadratic Equations and Models
2-6 Additional Equation Solving Techniques
2-7 Solving Inequalities

CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS
3-1 Polynomial Functions And Models
3-2 Polynomial Division
3-3 Real Zeros and Polynomial Inequalities
3-4 Complex Zeros and Rational Zeros of Polynomials
3-5 Rational Functions and Inequalities
3-6 Variation and Modeling

CHAPTER 4 MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS
4-1 Exponential Functions
4-2 Exponential Models
4-3 Logarithmic Functions
4-4 Logarithmic Models
4-5 Exponential and Logarithmic Equations

CHAPTER 5 TRIGONOMETRIC FUNCTIONS
5-1 Angles and Their Measure
5-2 Trigonometric Functions: A Unit Circle Approach
5-3 Solving Right Triangles
5-4 Properties of Trigonometric Functions
5-5 More General Trigonometric Functions and and Models
5-6 Inverse Trigonometric Functions

CHAPTER 6 TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS
6-1 Basic Identities and Their Use
6-2 Sum, Difference, and Cofunction Identities
6-3 Double-Angle and Half-Angle Identities
6-4 Product-Sum and Sum-Product Identities
6-5 Trigonometric Equations

CHAPTER 7 ADDITIONAL TOPICS IN TRIGONOMETRY
7-1 Law of Sines
7-2 Law of Cosines
7-3 Vectors in the Plane
7-4 Polar Coordinates and Graphs
7-5 Complex Numbers and De Moivre's Theorem

CHAPTER 8 MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES
8-1 Systems of Linear Equations in Two Variables
8-2 Systems of Linear Equations in Three Variables
8-3 Systems of Linear Inequalities
8-4 Linear Programming

CHAPTER 9 MATRICES AND DETERMINANTS
9-1 Matrix Solutions to Linear Systems
9-2 Matrix Operations
9-3 Inverse of a Square Matrix
9-4 Matrix Equations and Systems of Linear Equations
9-5 Determinants
9-6 Properties of Determinants
9-7 Determinants and Cramer's Rule

CHAPTER 10 SEQUENCES, INDUCTION, PROBABILITY
10-1 Sequences and Series
10-2 Mathematical Induction
10-3 Arithmetic and Geometric Sequences
10-4 Multiplication Principle, Permutations, and Combinations
10-5 Sample Spaces and Probability
10-6 Binomial Formula

11 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY
11-1 Conic Sections; Parabola
11-2 Ellipse
11-3 Hyperbola
11-4 Translation and Rotation of Axes
11-5 Systems of Nonlinear Equations