• Chapter P Prerequisites
  
  P.1 Review of Real Numbers and Their Properties
  P.2 Exponents and Radicals
  P.3 Polynomials and Special Products
  P.4 Factoring
  P.5 Rational Expressions
  P.6 Errors and the Algebra of Calculus
  P.7 Graphical Representation of Data
  
  
• Chapter 1 Equations and Inequalities
  
  1.1 Graphs of Equations
  1.2 Linear Equations in One Variable
  1.3 Modeling with Linear Equations
  1.4 Quadratic Equations
  1.5 Complex Numbers
  1.6 Other Types of Equations
  1.7 Linear Inequalities in One Variable
  1.8 Other Types of Inequalities
  
  
• Chapter 2 Functions and Their Graphs
  
  2.1 Linear Equations in Two Variables
  2.2 Functions
  2.3 Analyzing Graphs of Functions
  2.4 A Library of Functions
  2.5 Shifting, Reflecting, and Stretching Graphs
  2.6 Combinations of Functions
  2.7 Inverse Functions
  
  
• Chapter 3 Polynomial Functions
  
  3.1 Quadratic Functions
  3.2 Polynomial Functions of Higher Degree
  3.3 Polynomial and Synthetic Division
  3.4 Zeros of Polynomial Functions
  3.5 Mathematical Modeling
  
  
• Chapter 4 Rational Functions and Conics
  
  4.1 Rational Functions and Asymptotes
  4.2 Graphs of Rational Functions
  4.3 Partial Fractions
  4.4 Conics
  4.5 Translations of Conics
  
  
• Chapter 5 Exponential and Logarithmic Functions
  
  5.1 Exponential Functions and Their Graphs
  5.2 Logarithmic Functions and Their Graphs
  5.3 Properties of Logarithms
  5.4 Exponential and Logarithmic Equations
  5.5 Exponential and Logarithmic Models
  
  
• Chapter 6 Trigonometry
  
  6.1 Angles and Their Measures
  6.2 Right Triangle Trigonometry
  6.3 Trigonometric Functions of Any Angle
  6.4 Graphs of Sine and Cosine Functions
  6.5 Graphs of Other Trigonometric Functions
  6.6 Inverse Trigonometric Functions
  6.7 Applications and Models
  
  
• Chapter 7 Analytic Trigonometry
  
  7.1 Using Fundamental Identities
  7.2 Verifying Trigonometric Identities
  7.3 Solving Trigonometric Equations
  7.4 Sum and Difference Formulas
  7.5 Multiple-Angle and Product-to-Sum Formulas
  
  
• Chapter 8 Additional Topics in Trigonometry
  
  8.1 Law of Sines
  8.2 Law of Cosines
  8.3 Vectors in the Plane
  8.4 Vectors and Dot Products
  8.5 Trigonometric Form of a Complex Number
  
  
• Chapter 9 Systems of Equations and Inequalities
  
  9.1 Solving Systems of Equations
  9.2 Two-Variable linear Systems
  9.3 Multivariable Linear Systems
  9.4 Systems of Inequalities
  9.5 Linear Programming
  
  
• Chapter 10 Matrices and Determinants
  
  10.1 Matrices and Systems of Equations
  10.2 Operations with Matrices
  10.3 The Inverse of a Square Matrix
  10.4 The Determinant of a Square Matrix
  10.5 Applications of Matrices and Determinants
  
  
• Chapter 11 Sequences, Series, and Probability
  
  11.1 Sequences and Series
  11.2 Arithmetic Sequences and Partial Sums
  11.3 Geometric Sequences and Series
  11.4 Mathematical Induction
  11.5 The Binomial Theorem
  11.6 Counting Principles
  11.7 Probability