Your final quiz next week will be over Section 3.1.
Please make sure that you have read Sections 3.1 and 3.3 for
Monday. We're going to skip over 3.2 -- which is interesting,
but not crucial. The final three sections are more important.
Your exam corrections are due
today -- please submit them along with your original exam.
Some of you will be presenting at the Celebration of Undergraduate
Research (Wed., 4/17, 12:30-2:30):
Isabella Carr, et al. (two posters!): Locomotor activity in female and
male rats after acute oxycodone; and Sex Does Not Influence
Oxycodone-Conditioned Place Preference in Rats
Idalia Martin (poster): Predictive Analysis of Computer Hardware Prices
through Machine Learning
Anyone else in the Celebration?
Last time:
We reviewed L'Hôpital's rule
We reviewed the dog pen problem, motivating the study of extrema,
and connecting them to derivatives; and then we carried out a
variation on that problem.
The 1st and 2nd derivative tests:
The first
derivative test: Let $c$ be a critical number of a
continuous (that's important!) function $f$.
If $f^\prime$ changes sign from positive to negative at $c$, then $f$ has a
local maximum at $c$.
If $f^\prime$ changes sign from negative to positive at $c$, then $f$ has a
local minimum at $c$.
If $f^\prime$ does not change sign at $c$, then $f$ has
neither a max nor a min at $c$.
First simulation:
First simulation of the atmospheric pressure disturbances
generated by the #Tonga volcano explosion compared with
observations from different locations. Not bad results for a
first guess.
Let's review the work we did on Activity
3.1.2 last time; in particular, let't take a
look at the asymptotic behavior of the function.
That's where L'Hôpital's rule comes in handy!
Now let's turn to the worksheet for
3.1, and we'll check out another similar problem.
I hope that you are on-board with the summary table I'm using....