• Chapter 1: Prerequisites: Fundamental Concepts of Algebra
• Section P.1: Algebraic Expressions, Mathematical Models, and Real Numbers
• Section P.2: Exponents and Scientific Notation
• Section P.3: Radicals and Rational Exponents
• Section P.4: Polynomials
• Section P.5: Factoring Polynomials
• Section P.6: Rational Expressions
• Section P.7: Equations
• Section P.8: Modeling with Equations
• Section P.9: Linear Inequalities and Absolute Value Inequalities

• Chapter 1: Functions and Graphs
• Section 1.1: Graphs and Graphing Utilities
• Section 1.2: Basics of Functions and Their Graphs
• Section 1.3: More on Functions and Their Graphs
• Section 1.4: Linear Functions and Slope
• Section 1.5: More on Slope
• Section 1.6: Transformations of Functions
• Section 1.7: Combinations of Functions; Composite Functions
• Section 1.8: Inverse Functions
• Section 1.9: Distance and Midpoint Formulas; Circles
• Section 1.10: Modeling with Functions

• Chapter 2: Polynomial and Rational Functions
• Section 2.1: Complex Numbers
• Section 2.3: Polynomial Functions and Their Graphs
• Section 2.4: Dividing Polynomials; Remainder and Factor Theorems
• Section 2.5: Zeros of Polynomial Functions
• Section 2.6: Rational Functions and Their Graphs
• Section 2.7: Polynomial and Rational Inequalities
• Section 2.8: Modeling Using Variation

• Chapter 3: Exponential and Logarithmic Functions
• Section 3.1: Exponential Functions
• Section 3.2: Logarithmic Functions
• Section 3.3: Properties of Logarithms
• Section 3.4: Exponential and Logarithmic Equations
• Section 3.5: Exponential Growth and Decay; Modeling Data
• Chapter 4: Trigonometric Functions
• Section 4.1: Angles and Radian Measure
• Section 4.2: Trigonometric Functions: The Unit Circle
• Section 4.3: Right Triangle Trigonometry
• Section 4.4: Trigonometric Functions of Any Angle
• Section 4.5: Graphs of Sine and Cosine Functions
• Section 4.6: Graphs of Other Trigonometric Functions
• Section 4.7: Inverse Trigonometric Functions
• Section 4.8: Applications of Trigonometric Functions

• Chapter 5: Analytic Trigonometry
• Section 5.1: Verifying Trigonometric Identities
• Section 5.2: Sum and Difference Formulas
• Section 5.3: Double-Angle, Power-Reducing, and Half-Angle Formulas
• Section 5.4: Product-to-Sum and Sum-to-Product Formulas
• Section 5.5: Trigonometric Equations

• Chapter 6: Additional Topics in Trigonometry
• Section 6.1: The Law of Sines
• Section 6.2: The Law of Cosines
• Section 6.3: Polar Coordinates
• Section 6.4: Graphs of Polar Equations
• Section 6.5: Complex Numbers in Polar Form; DeMoivre's Theorem
• Section 6.6: Vectors
• Section 6.7: The Dot Product

• Chapter 7: Systems of Equations and Inequalities
• Section 7.1: Systems of Linear Equations in Two Variables
• Section 7.2: Systems of Linear Equations in Three Variables
• Section 7.3: Partial Fractions
• Section 7.4: Systems of Nonlinear Equations in Two Variables
• Section 7.5: Systems of Inequalities
• Section 7.6: Linear Programming

• Chapter 8: Matrices and Determinants
• Section 8.1: Matrix Solutions to Linear Systems
• Section 8.2: Inconsistent and Dependent Systems and Their Applications
• Section 8.3: Matrix Operations and Their Applications
• Section 8.4: Multiplicative Inverses of Matrices and Matrix Equations
• Section 8.5: Determinants and Cramer's Rule
• Chapter 9: Conic Sections and Analytic Geometry
• Section 9.1: The Ellipse
• Section 9.2: The Hyperbola
• Section 9.3: The Parabola
• Section 9.4: Rotation of Axes
• Section 9.5: Parametric Equations
• Section 9.6: Conic Sections in Polar Coordinates

• Chapter 10: Sequences, Induction, and Probability
• Section 10.1: Sequences and Summation Notation
• Section 10.2: Arithmetic Sequences
• Section 10.3: Geometric Sequences and Series
• Section 10.4: Mathematical Induction
• Section 10.5: The Binomial Theorem
• Section 10.6: Counting Principles, Permutations, and Combinations
• Section 10.7: Probability

• Chapter 11: Introduction to Calculus
• Section 11.1: Finding Limits Using Tables and Graphs
• Section 11.2: Finding Limits Using Properties of Limits
• Section 11.3: Limits and Continuity
• Section 11.4: Introduction to Derivatives

Exercises P.1.1 -