Introducing Calculus: Can Change Occur at an Instant?

Defining Limits and Using Limit Notation

Estimating Limit Values from Graphs

Estimating Limit Values from Tables

Determining Limits Using Algebraic Properties of Limits

Determining Limits Using Algebraic Manipulation

Selecting Procedures for Determining Limits

Determining Limits Using the Squeeze Theorem

Connecting Multiple Representations of Limits

Exploring Types of Discontinuities

Defining Continuity at a Point

Confirming Continuity over an Interval

Removing Discontinuities

Connecting Infinite Limits and Vertical Asymptotes

Connecting Limits at Infinity and Horizontal Asymptotes

Working with the Intermediate Value Theorem (IVT)

Defining Average and Instantaneous Rates of Change at a Point

Defining the Derivative of a Function and Using Derivative Notation

Estimating Derivatives of a Function at a Point

Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist

Applying the Power Rule

Derivative Rules: Constant, Sum, Difference, and Constant Multiple

Derivatives of cos x, sin x, e^x, and ln x

The Product Rule

The Quotient Rule

Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions