Table of Contents

Chapter 0 Preparing for Precalculus
 01 Sets
 02 Operations with Complex Numbers
 03 Quadratic Functions and Equations
 04 𝑛th Roots and Real Exponents
 05 Systems of Linear Equations and Inequalities
 06 Matrix Operations
 07 Probability with Permutations and Combinations
 08 Statistics

Chapter 1 Functions from a Calculus Perspective
 11 Functions
 12 Analyzing Graphs of Functions and Relations
 13 Continuity, End Behavior, and Limits
 14 Extrema and Average Rates of Change
 15 Parent Functions and Transformations
 16 Function Operations and Composition of Functions
 17 Inverse Relations and Functions

Chapter 2 Power, Polynomial, and Rational Functions
 21 Power and Radical Functions
 22 Polynomial Functions
 23 The Remainder and Factor Theorems
 24 Zeros of Polynomial Functions
 25 Rational Functions
 26 Nonlinear Inequalities

Chapter 3 Exponential and Logarithmic Functions
 31 Exponential Functions
 32 Logarithmic Functions
 33 Properties of Logarithms
 34 Exponential and Logarithmic Equations
 35 Modeling with Nonlinear Regression

Chapter 4 Trigonometric Functions
 41 Right Triangle Trigonometry
 42 Degrees and Radians
 43 Trigonometric Functions on the Unit Circle
 44 Graphing Sine and Cosine Functions
 45 Graphing Other Trigonometric Functions
 46 Inverse Trigonometric Functions
 47 The Law of Sines and the Law of Cosines

Chapter 5 Trigonometric Identities and Equations
 51 Trigonometric Identities
 52 Verifying Trigonometric Identities
 53 Solving Trigonometric Equations
 54 Sum and Difference Identities
 55 MultipleAngle and ProducttoSum Identities

Chapter 6 Systems of Equations and Matrices
 61 Multivariable Linear Systems and Row Operations
 62 Matrix Multiplication, Inverses, and Determinants
 63 Solving Linear Systems Using Inverses and Cramer’s Rule
 64 Partial Fractions
 65 Linear Optimization

Chapter 7 Conic Sections and Parametric Equations
 71 Parabolas
 72 Ellipses and Circles
 73 Hyperbolas
 74 Rotations of Conic Sections
 75 Parametric Equations

Chapter 8 Vectors
 81 Introduction to Vectors
 82 Vectors in the Coordinate Plane
 83 Dot Products and Vector Projections
 84 Vectors in ThreeDimensional Space
 85 Dot and Cross Products of Vectors in Space

Chapter 9 Polar Coordinates and Complex Numbers
 91 Polar Coordinates
 92 Graphs of Polar Equations
 93 Polar and Rectangular Forms of Equations
 94 Polar Forms of Conic Sections
 95 Complex Numbers and DeMoivre’s Theorem

Chapter 10 Sequences and Series
 101 Sequences, Series, and Sigma Notation
 102 Arithmetic Sequences and Series
 103 Geometric Sequences and Series
 104 Mathematical Induction
 105 The Binomial Theorem
 106 Functions as Infinite Series

Chapter 11 Inferential Statistics
 111 Descriptive Statistics
 112 Probability Distributions
 113 The Normal Distribution
 114 The Central Limit Theorem
 115 Confidence Intervals
 116 Hypothesis Testing
 117 Correlation and Linear Regression

Chapter 12 Limits and Derivatives
 121 Estimating Limits Graphically
 122 Evaluating Limits Algebraically
 123 Tangent Lines and Velocity
 124 Derivatives
 125 Area under a Curve and Integration
 126 The Fundamental Theorem of Calculus