Today: Worksheet 2
Office Hours: today 3-4 & tomorrow 1:30-2:30 in PDL C-326
(TA’s office hrs posted on class webpage)
Homework 1: Worksheets 1 and 2 collected FRIDAY in lecture
Recall from Monday:
In Math 111 we studied AVERAGE rates of change, which we can
o measure as slopes of SECANT LINES through TWO points on
the graph, and
o compute as fractions (e.g. ∆𝒅
∆𝒕 )
Calculus is about computing INSTANTANEOUS rates of change.
o These are measured as slopes of TANGENT lines to the graph
at A POINT.
o Since we don’t have two known points on the tangent but only
one, we cannot compute the instant rate as a fraction involving
the given function, but we need to develop special methods.
For now, we will be approximating the instantaneous rates by
average rates over small intervals (the smaller the interval, the
better the approximation)