Observation 4 - Quiz + Starting Partial Derivatives

• Did the quiz for the first 8 or so mins...

Reminders

• Read 14.4 by Tuesday

More Practice on Contour Diagrams

• Noted to try out Problems 14.1.61-66 in the textbook...
• Plus having them differentiate the different 12.6 objects.
• Also does 14.32, he's just giving some tidbits he found on those problems from office hours.

Types of Surfaces

1. Graph of $z=f(x,y)$
2. Quadric Surfaces (12.6)
3. Level Surfaces: $g(x,y,z)=c$.
   1. They really struggled with this one!!!

They should know that if a variable is not used (ie: $y$ in $z=x^2$), it's a cylinder, even if it's not our typical cylinder.

They did an example of $\ln (x^2+y^2-z^2)$ where they consider the level curve passing through $(1,1,1)$.

Actually Starting Partial Derivatives

Showed them most of the definitions of Partial Derivatives. Did the example:

Which they did (Brussel did).