Study Guide for the final
The following topics will be covered on the final.
- A graph sketching problem
- An optimization problem
- A related rates problem
These three topics were already present on the 2nd midterm.
- Volumes of solids of revolution
- length of a graph or parametric curve
- An epsilon/delta problem.
See the pratice problem sheet, but also look at the old “solutions to some problems involving the
ε and δ definition of limits” handout.
- A problem about the limit properties
Like problems 7, 8, 9, 10 on the pratice sheet, as discussed in lecture;
see also §16.3 and 16.4 of the notes.
You should also know
- properties of logarithms (§44)
- limits involving logs and exponentials (§48).
- derivatives of trig, exponential, log (§46,§47) and inverse trig functions
(§29.5)