**1.7 INTRODUCTION TO LIMITS AND CONTINUITY**

Continuity

Limits

Intermediate Value Theorem

Limits of Continuous Functions

Limits of Non-Continuous Functions (incl. "does not exist")

**1.8 EXTENDING THE IDEA OF A LIMIT**

One-Sided Limits

Horizontal Asymptotes as Limits

Vertical Asymptotes as Limits

Properties of Limits

Continuity of Sums, Products, Quotients

Continuity of Composite and Inverse Functions

**1.9 FURTHER LIMIT CALCULATIONS USING ALGEBRA**

Limits of Quotients

0/0 and Holes: Factoring, Conjugates, New Variables

Limits at Infinity

Squeeze Theorem

**2.1 HOW DO WE MEASURE SPEED?**

Average and Instantaneous Velocity

Velocity Versus Speed

Defining Instantaneous Velocity

Visualizing Velocity: Slope of Curve

Computing the Instantaneous Velocity