1. Section 1.1 – A Preview of Calculus

2. Calculus The branch of mathematics studying the rate of change of quantities and the length, area, and volume of objects. This study is driven by the idea of a limit.

3. Calculus v Precalculus Investigate the following statement: Before Calculus Answer : It is undefined Calculus Answer : The limit of the function approaches 6 as the x values get closer to 2.

4. Calculus v Precalculus The graph below describes the distance in miles (y) from the starting line of a runner after (x) minutes during the Broad Street Run. Before Calculus Question: What was the average rate of change between 40 and 80 minutes? Calculus Question: How fast was the runner traveling at 60 minutes?

5. Calculus v Precalculus Before Calculus Question: Find the area of the shape below. Calculus Question: Find the area underneath the curve.