Day 1: Algebraic Limits
We're going to be looking at taking the limits of basic functions as a way to begin understanding what a limit is. Goals: use algebra to simplify expressions to find limits; identify functions where the limit does not exist.
Day 2: Limits from Graphs and one-sided limits
We'll start out by looking at limits using the graphs of functions, and move into the process of finding a one-sided limit. Goals: use a graph to find the limit of a function; find the left-side and right-side limits of functions algebraically and graphically; use limits with piecewise functions.
Day 3: Limits at Infinity and End Behavior
We've talked about limits as a means to understand behavior within the visual domain of our functions--what we're going to look at now, is taking what we know, and applying it to the end behavior of functions. Goals: Look at limits as functions approach infinity and negative infinity; use appropriate reasoning to justify our answers (appropriate enough to avoid losing free response points).
Day 4: Quiz