This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking.

Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors’ attention to detail and clarity, the same as found in James Stewart’s market-leading Calculus text, is what makes this text the market leader.

**Chapter 0: Prerequisites**

0.1: Real Numbers and Their Properties (43)

0.2: The Real Number Line and Order (66)

0.3: Integer Exponents (106)

0.4: Rational Exponents and Radicals (92)

0.5: Algebraic Expressions (95)

0.6: Factoring (101)

0.7: Rational Expressions (111)

**Chapter 1: Equations and Inequalities**

1.1: Basic Equations (101)

1.2: Modeling with Equations (66)

1.3: Quadratic Equations (105)

1.4: Complex Numbers (81)

1.5: Other Types of Equations (87)

1.6: Inequalities (95)

1.7: Absolute Value Equations and Inequalities (58)

**Chapter 2: Coordinates and Graphs**

2.1: The Coordinate Plane (61)

2.2: Graphs of Equations in Two Variables (94)

2.3: Graphing Calculators: Solving Equations and Inequalities Graphically (73)

2.4: Lines (76)

2.5: Making Models Using Variations (48)

**Chapter 3: Functions**

3.1: What Is a Function? (83)

3.2: Graphs of a Function (83)

3.3: Getting Information from the Graph of a Function (55)

3.4: Average Rate of Change of a Function (30)

3.5: Transformations of Functions (90)

3.6: Combining Functions (66)

3.7: One-to-One Functions and Their Inverses (89)

**Chapter 4: Polynomial and Rational Functions**

4.1: Quadratic Functions and Models (78)

4.2: Polynomial Functions and Their Graphs (84)

4.3: Dividing Polynomials (68)

4.4: Real Zeros of Polynomials (105)

4.5: Complex Zeros and the Fundamental Theorem of Algebra (72)

4.6: Rational Functions (88)

**Chapter 5: Exponential and Logarithmic Functions**

5.1: Exponential Functions (58)

5.2: The Natural Exponential Function (38)

5.3: Logarithmic Functions (91)

5.4: Laws of Logarithms (71)

5.5: Exponential and Logarithmic Equations (88)

5.6: Modeling with Exponential and Logarithmic Functions (43)

**Chapter 6: Trigonometric Functions: Right Triangle Approach**

6.1: Angle Measure (88)

6.2: Trigonometry of Right Triangles (65)

6.3: Trigonometric Functions of Angles (71)

6.4: Inverse Trigonometric Functions and Right Triangles (43)

6.5: The Law of Sines (44)

6.6: The Law of Cosines (53)

**Chapter 7: Trigonometric Functions: Unit Circle Approach**

7.1: The Unit Circle (56)

7.2: Trigonometric Functions of Real Numbers (84)

7.3: Trigonometric Graphs (80)

7.4: More Trigonometric Graphs (58)

7.5: Inverse Trigonometric Functions and Their Graphs (44)

7.6: Modeling Harmonic Motion (48)

**Chapter 8: Analytic Trigonometry**

8.1: Trigonometric Identities (101)

8.2: Addition and Subtraction Formulas (69)

8.3: Double-Angle, Half-Angle, and Product-Sum Formulas (108)

8.4: Basic Trigonometric Functions (59)

8.5: More Trigonometric Equations (66)

**Chapter 9: Polar Coordinates and Parametric Equations**

9.1: Polar Coordinates (68)

9.2: Graphs of Polar Equations (60)

9.3: Polar Form of Complex Numbers; DeMoivre’s Theorem (98)

9.4: Plane Curves and Parametric Equations (67)

**Chapter 10: Vectors in Two and Three Dimensions**

10.1: Vectors in Two Dimensions (74)

10.2: The Dot Product (52)

10.3: Three-Dimensional Coordinate Geometry (22)

10.4: Vectors in Three Dimensions (38)

10.5: The Cross Product (36)

10.6: Equations of Lines and Planes (34)

**Chapter 11: Systems of Equations and Inequalities**

11.1: Systems of Linear Equations in Two Variables (74)

11.2: Systems of Linear Equations in Several Variables (46)

11.3: Matrices and Systems of Linear Equations (60)

11.4: The Algebra of Matrices (50)

11.5: Inverses of Matrices and Matrix Equations (49)

11.6: Determinants and Cramer’s Rule (62)

11.7: Partial Fractions (46)

11.8: Systems of Nonlinear Equations (47)

11.9: Systems of Inequalities (54)

**Chapter 12: Conic Sections**

12.1: Parabolas (56)

12.2: Ellipses (55)

12.3: Hyperbolas (50)

12.4: Shifted Conics (43)

12.5: Rotation of Axes (36)

12.6: Polar Equations of Conics (45)

**Chapter 13: Sequences and Series**

13.1: Sequences and Summation Notation (80)

13.2: Arithmetic Sequences (67)

13.3: Geometric Sequences (85)

13.4: Mathematics of Finance (28)

13.5: Mathematical Induction (36)

13.6: The Binomial Theorem (56)

**Chapter 14: Counting and Probability**

14.1: Counting Principles (43)

14.2: Permutations and Combinations (79)

14.3: Probability (72)

14.4: Binomial Probability (36)

14.5: Expected Value (22)

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