Video of lecture.
Handwritten notes from lecture.
Waiting room video: interview with Karen Uhlenbeck.

We recalled that a function f:D--->C consists of a domain D, a codomain D and a rule for assigning precisely one element of the codomain to each element of the domain. When the domain and codomain are not explicitly specified then we just take D to be the largest subset of the reals for which the "function rule" makes sense, and we just take C to be the set of all real numbers. We recalled that functions can be represented by graphs and we studied some examples. During the examples we met concepts such as "horizonal asymptote", "vertical asymptote", "x-intercept", "y-intercept", "range of a function". For more on the basics of functions read Stewart, Section 1.1.