**Chapter 1: Graphs, Functions, and Models**

1.1: Introduction to Graphing

1.2: Functions and Graphs

1.3: Linear Functions, Slope, and Applications

1.4: Equations of Lines and Modeling

1.5: Linear Equations, Functions, Zeros, and Applications

1.6: Solving Linear Inequalities

**Chapter 2: More on Functions**

2.1: Increasing, Decreasing, and Piecewise Functions; Applications

2.2: The Algebra of Functions

2.3: The Composition of Functions

2.4: Symmetry

2.5: Transformations

2.6: Variation and Applications

**Chapter 3: Quadratic Functions and Equations; Inequalities**

3.1: The Complex Numbers

3.2: Quadratic Equations, Functions, Zeros, and Models

3.3: Analyzing Graphs of Quadratic Functions

3.4: Solving Rational Equations and Radical Equations

3.5: Solving Equations and Inequalities with Absolute Value

**Chapter 4: Polynomial Functions and Rational Functions**

4.1: Polynomial Functions and Models

4.2: Graphing Polynomial Functions

4.3: Polynomial Division; The Remainder Theorem and the Factor Theorem

4.4: Theorems about Zeros of Polynomial Functions

4.5: Rational Functions

4.6: Polynomial Inequalities and Rational Inequalities

**Chapter 5: Exponential Functions and Logarithmic Functions**

5.1: Inverse Functions

5.2: Exponential Functions and Graphs

5.3: Logarithmic Functions and Graphs

5.4: Properties of Logarithmic Functions

5.5: Solving Exponential Equations and Logarithmic Equations

5.6: Applications and Models: Growth and Decay; Compound Interest

**Chapter 6: The Trigonometric Functions**

6.1: Trigonometric Functions of Acute Angles

6.2: Applications of Right Triangles

6.3: Trigonometric Functions of Any Angle

6.4: Radians, Arc Length, and Angular Speed

6.5: Circular Functions: Graphs and Properties

6.6: Graphs of Transformed Sine and Cosine Functions

**Chapter 7: Trigonometric Identities, Inverse Functions, and Equations**

7.1: Identities: Pythagorean and Sum and Difference

7.2: Identities: Cofunction, Double-Angle, and Half-Angle

7.3: Proving Trigonometric Identities

7.4: Inverses of the Trigonometric Functions

7.5: Solving Trigonometric Equations

**Chapter 8: Applications of Trigonometry**

8.1: The Law of Sines

8.2: The Law of Cosines

8.3: Complex Numbers: Trigonometric Notation

8.4: Polar Coordinates and Graphs

8.5: Vectors and Applications

8.6: Vector Operations

**Chapter 9: Systems of Equations and Matrices**

9.1: Systems of Equations in Two Variables

9.2: Systems of Equations in Three Variables

9.3: Matrices and Systems of Equations

9.4: Matrix Operations

9.5: Inverses of Matrices

9.6: Determinants and Cramer’s Rule

9.7: Systems of Inequalities and Linear Programming

9.8: Partial Fractions

**Chapter 10: Conic Sections**

10.1: The Parabola

10.2: The Circle and the Ellipse

10.3: The Hyperbola

10.4: Nonlinear Systems of Equations and Inequalities

10.5: Rotation of Axes

10.6: Polar Equations of Conics

10.7: Parametric Equations

**Chapter 11: Sequences, Series, and Combinatorics**

11.1: Sequences and Series

11.2: Arithmetic Sequences and Series

11.3: Geometric Sequences and Series

11.4: Mathematical Induction

11.5: Combinatorics: Permutations

11.6: Combinatorics: Combinations

11.7: The Binomial Theorem

11.8: Probability

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