Chapters and Sections of Precalculs, 6th ed. by Stewart,
Redlin, and Watson. Notes in Green and Red refer to
changes from the 5th edition.
Chapter 1: Fundamentals (Essentially Unchanged)
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
1.10
1.11
Real Numbers
Exponents and Radicals
Algebraic Expressions
Rational Expressions
Equations
Modeling with Equations
Inequalities
Coordinate Geometry
Graphing Calculators; Solving Equations and Inequalities Graphically
Lines
Making Models Using Variation
Chapter 2: Functions
2.1
2.2
2.3
2.4
2.5
2.6
2.7
What Is a Function?
Graphs of Functions
Getting Information from the Graph of a Function (New Section)
Average Rate of Change of a Function
Transformations of Functions
Combining Functions
One-to-One Functions and Their Inverses
Chapter 3: Polynomial and Rational Functions
3.1
3.2
3.3
3.4
3.5
3.6
3.7
Quadratic Functions and Models (Moved from Ch. 2)
Polynomial Functions and Their Graphs
Dividing Polynomials
Real Zeros of Polynomials
Complex Numbers
Complex Zeros and the Fundamental Theorem of Algebra
Rational Functions
Chapter 4: Exponential and Logarithmic Functions
4.1
4.2
4.3
4.4
4.5
4.6
Exponential Functions
The Natural Exponential Function (Expanded (?) and split off from 4.1)
Logarithmic Functions
Laws of Logarithms
Exponential and Logarithmic Equations
Modeling with Exponential and Logarithmic Functions
Chapter 5: Trigonometric Functions: Unit Circle Approach
5.1
5.2
5.3
5.4
5.5
5.6
The Unit Circle
Trigonometric Functions of Real Numbers
Trigonometric Graphs
More Trigonometric Graphs
Inverse Trigonometric Functions and Their Graphs (Moved from Ch 7?)
Modeling Harmonic Motion
Chapter 6: Trigonometric Functions: Right Triangle
Approach
6.1
6.2
6.3
6.4
6.5
6.6
Angle Measure
Trigonometry of Right Triangles
Trigonometric Functions of Angles
Inverse Trigonometric Functions and Right Triangles (Moved from Ch 7?)
The Law of Sines
The Law of Cosines
Chapter 7:
7.1
7.2
7.3
7.4
7.5
Analytic Trigonometry
Trigonometric Identities
Addition and Subtraction Formulas
Double-Angle, Half-Angle, and Product-Sum Formulas
Basic Trigonometric Equations
More Trigonometric Equations (Expanded and split from 7.4)
Chapter 8: Polar Coordinates and Parametric Equations
8.1
8.2
8.3
8.4
Polar Coordinates
Graphs of Polar Equations
Polar Form of Complex Numbers; De Moivre’s Theorem
Plane Curves and Parametric Equations (Moved from old Ch 10)
Chapter 9: Vectors in Two and Three Dimensions (Split and
Much Expanded from Ch 8)
9.1
9.2
9.3
9.4
9.5
9.6
Vectors in Two Dimensions
The Dot Product
Three-Dimensional Coordinate Geometry
Vectors in Three Dimensions
The Cross Product
Equations of Lines and Planes
Chapter 10: Systems of Equations and Inequalities
(Previously Ch 9)
10.1
10.2
10.3
10.4
10.5
106
10.7
10.8
10.9
Systems of Linear Equations in Two Variables
Systems of Linear Equations in Several Variables
Matrices and Systems of Linear Equations
The Algebra of Matrices
Inverses of Matrices and Matrix Equations
Determinants and Cramer’s Rule
Partial Fractions
Systems of Nonlinear Equations (Moved from the beginning of the chapter)
Systems of Inequalities
Chapter 11: Conic Sections (Previously Ch 10 “Analytic
Geometry”)
11.1
11.2
11.3
11.4
11.5
11.6
Parabolas
Ellipses
Hyperbolas
Shifted Conics
Rotation of Axes
Polar Equations of Conics
Chapter 12: Sequences and Series (Was Ch 11, but Essentially
Unchanged)
12.1
12.2
12.3
12.4
12.5
12.6
Sequences and Summation Notation
Arithmetic Sequences
Geometric Sequences
Mathematics of Finance
Mathematical Induction
The Binomial Theorem
Chapter 13: Limits: A Preview of Calculus (Was Ch 12, but
Essentially Unchanged)
13.1
13.2
13.3
13.4
13.5
Finding Limits Numerically and Graphically
Finding Limits Algebraically
Tangent Lines and Derivatives
Limits at Infinity; Limits of Sequences
Areas