1: Graphs
1.1: Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations
Points in the Coordinate Plane - Activity A
1.4: Lines
Slope-Intercept Form of a Line - Activity A
1.5: Circles
Circles
2: Functions and Their Graphs
2.1: Functions
Introduction to Functions
2.2: The Graph of a Function
Introduction to Functions
2.3: Properties of Functions
Introduction to Functions
2.4: Library of Functions; Piecewise-defined Functions
Points in the Coordinate Plane - Activity A
2.5: Graphing Techniques; Transformations
Points in the Coordinate Plane - Activity A
3: Linear and Quadratic Functions
3.1: Linear Functions, Their Properties, and Linear Models
Linear Functions
Slope-Intercept Form of a Line - Activity A
3.2: Building Linear Models from Data
Determining a Spring Constant
3.3: Quadratic Functions and Their Properties
Quadratic Functions
4: Polynomial and Rational Functions
4.1: Polynomial Functions and Models
Fourth-Degree Polynomials - Activity A
4.3: The Graph of a Rational Functions
General Form of a Rational Function
Rational Functions
4.5: The Real Zeros of a Polynomial Function
Polynomials and Linear Factors
5: Exponential and Logarithmic Functions
5.3: Exponential Functions
Exponential Functions - Activity A
5.4: Logarithmic Functions
Logarithmic Functions - Activity A
5.8: Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
Disease Spread
Dye Elimination
Exponential Growth and Decay - Activity A
Half-life
Simple and Compound Interest
5.9: Building Exponential, Logarithmic, and Logistic Models from Data
Disease Spread
Dye Elimination
Exponential Growth and Decay - Activity A
Half-life
Simple and Compound Interest
6: Trigonometric Functions
6.2: Trigonometric Functions: Unit Circle Approach
Unit Circle
6.4: Graphs of the Sine and Cosine Functions
Cosine Function
Sine Function
6.5: Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Tangent Function
6.6: Phase Shift; Sinusoidal Curve Fitting
Translating and Scaling Sine and Cosine Functions - Activity A
7: Analytic Trigonometry
7.3: Trigonometric Identities
Sum and Difference Identities for Sine and Cosine
7.4: Sum and Difference Formulas
Simplifying Trigonometric Expressions
8: Applications of Trigonometric Functions
8.5: Simple Harmonic Motion; Damped Motion; Combining Waves
Simple Harmonic Motion
Sound Beats and Sine Waves
9: Polar Coordinates; Vectors
9.1: Polar Coordinates
Points in Polar Coordinates
9.3: The Complex Plane; De Moivre's Theorem
Complex Numbers in Polar Form
9.4: Vectors
Vectors
9.5: The Dot Product
Vectors
10: Analytic Geometry
10.2: The Parabola
Parabolas - Activity A
10.3: The Ellipse
Ellipse - Activity A
10.4: The Hyperbola
Hyperbola - Activity A
11: Systems of Equations and Inequalities
11.1: Systems of Linear Equations: Substitution and Elimination
Systems of Linear Equations - Activity A
11.7: Systems of Inequalities
System of Two Quadratic Inequalities
11.8: Linear Programming
Linear Programming - Activity A
12: Sequences; Induction; the Binomial Theorem
12.2: Arithmetic Sequences
Arithmetic Sequences
12.3: Geometric Sequences; Geometric Series
Geometric Sequences
13: Counting and Probability
13.2: Permutations and Combinations
Permutations
13.3: Probability
Probability Simulations
Theoretical and Experimental Probability