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