# Course: Glencoe • Precalculus • Common Core

• Chapter 0 Preparing for Precalculus
• 0-1 Sets
• 0-2 Operations with Complex Numbers
• 0-3 Quadratic Functions and Equations
• 0-4 𝑛th Roots and Real Exponents
• 0-5 Systems of Linear Equations and Inequalities
• 0-6 Matrix Operations
• 0-7 Probability with Permutations and Combinations
• 0-8 Statistics
• Chapter 1 Functions from a Calculus Perspective
• 1-1 Functions
• 1-2 Analyzing Graphs of Functions and Relations
• 1-3 Continuity, End Behavior, and Limits
• 1-4 Extrema and Average Rates of Change
• 1-5 Parent Functions and Transformations
• 1-6 Function Operations and Composition of Functions
• 1-7 Inverse Relations and Functions
• Chapter 2 Power, Polynomial, and Rational Functions
• 2-1 Power and Radical Functions
• 2-2 Polynomial Functions
• 2-3 The Remainder and Factor Theorems
• 2-4 Zeros of Polynomial Functions
• 2-5 Rational Functions
• 2-6 Nonlinear Inequalities
• Chapter 3 Exponential and Logarithmic Functions
• 3-1 Exponential Functions
• 3-2 Logarithmic Functions
• 3-3 Properties of Logarithms
• 3-4 Exponential and Logarithmic Equations
• 3-5 Modeling with Nonlinear Regression
• Chapter 4 Trigonometric Functions
• 4-1 Right Triangle Trigonometry
• 4-3 Trigonometric Functions on the Unit Circle
• 4-4 Graphing Sine and Cosine Functions
• 4-5 Graphing Other Trigonometric Functions
• 4-6 Inverse Trigonometric Functions
• 4-7 The Law of Sines and the Law of Cosines
• Chapter 5 Trigonometric Identities and Equations
• 5-1 Trigonometric Identities
• 5-2 Verifying Trigonometric Identities
• 5-3 Solving Trigonometric Equations
• 5-4 Sum and Difference Identities
• 5-5 Multiple-Angle and Product-to-Sum Identities
• Chapter 6 Systems of Equations and Matrices
• 6-1 Multivariable Linear Systems and Row Operations
• 6-2 Matrix Multiplication, Inverses, and Determinants
• 6-3 Solving Linear Systems Using Inverses and Cramer’s Rule
• 6-4 Partial Fractions
• 6-5 Linear Optimization
• Chapter 7 Conic Sections and Parametric Equations
• 7-1 Parabolas
• 7-2 Ellipses and Circles
• 7-3 Hyperbolas
• 7-4 Rotations of Conic Sections
• 7-5 Parametric Equations
• Chapter 8 Vectors
• 8-1 Introduction to Vectors
• 8-2 Vectors in the Coordinate Plane
• 8-3 Dot Products and Vector Projections
• 8-4 Vectors in Three-Dimensional Space
• 8-5 Dot and Cross Products of Vectors in Space
• Chapter 9 Polar Coordinates and Complex Numbers
• 9-1 Polar Coordinates
• 9-2 Graphs of Polar Equations
• 9-3 Polar and Rectangular Forms of Equations
• 9-4 Polar Forms of Conic Sections
• 9-5 Complex Numbers and DeMoivre’s Theorem
• Chapter 10 Sequences and Series
• 10-1 Sequences, Series, and Sigma Notation
• 10-2 Arithmetic Sequences and Series
• 10-3 Geometric Sequences and Series
• 10-4 Mathematical Induction
• 10-5 The Binomial Theorem
• 10-6 Functions as Infinite Series
• Chapter 11 Inferential Statistics
• 11-1 Descriptive Statistics
• 11-2 Probability Distributions
• 11-3 The Normal Distribution
• 11-4 The Central Limit Theorem
• 11-5 Confidence Intervals
• 11-6 Hypothesis Testing
• 11-7 Correlation and Linear Regression
• Chapter 12 Limits and Derivatives
• 12-1 Estimating Limits Graphically
• 12-2 Evaluating Limits Algebraically
• 12-3 Tangent Lines and Velocity
• 12-4 Derivatives
• 12-5 Area under a Curve and Integration
• 12-6 The Fundamental Theorem of Calculus