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

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

3-1 Exponential Functions

3-2 Logarithmic Functions

3-3 Properties of Logarithms

3-4 Exponential and Logarithmic Equations

4-1 Right Triangle Trigonometry

4-2 Degrees and Radians

4-3 Trigonometric Functions on the Unit Circle

4-4 Graphing Sine and Cosine Functions

4-5 Graphing Other Trigonometric Functions

4-6 The Law of Sines and the Law of Cosines

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

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

7-1 Parabolas

7-2 Ellipses and Circles

7-3 Hyperbolas

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

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

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

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

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