
\item
Review study guide for quiz 05-07 (section 14.2-14.7).
Note: study guide for quiz 05 is updated with item 3 revised.

\item % 14.7: Extreme Values and Saddle Points (and Gradient Analysis).
Section 14.7:
Review the gradient analysis that helps to classify the
critical points when the second derivative test is 
inconclusive, and how it can be applied to find
absolute max and absolute min on a bounded region.

% 14.8: Lagrange Multipliers.
\item 
Section 14.8: 
Review all cases for the method of the Lagrangian multipliers.
For example, extreme values of
\begin{itemize}
\item
functions of 2 variables, with 1 constraint.
\item
functions of 3 variables, with 1 constraint.
\item
functions of 3 variables, with 2 constraints.
\end{itemize}

\item % 14.9: Taylor Formula for Two Variables.
Section 14.9: 
Review the derivation of Taylor's formula for functions of two
or more variables. Memorize the results.

\item % 14.10: Partial Derivatives with Constrained Variables.
Section 14.10:
Review partial derivatives with constrained variables.
In particular, study how to identity the independent
variables and dependent variables from the all the
variables and and the number of equations/constraints.

