Things that could be on exam 1:

Explaining what a limit is including both:

• what does it mean to say that something is a limit?
• epsilon-delta problems of the two types that were on the homework

Looking at a graph of a function and answering questions about:

• what are the limits at certain values
• where is it continuous and discontinuous
• where is it differentiable
• what are approximate derivatives
• what does the derivative function look like (sketch a graph)
  

Finding limits and/or derivatives and/or speeds using limits:

• with polynomials
• with fractions
• with square roots

Graphing a piecewise defined function, telling where it is and is not continuous, and determining (left and right) limits.

Explaining what a derivative is:

• in the geometric sense
• in the physics/science sense