the maximum or minimum values of a function, extreme values
local, or relative extrema
critical points or stationary points
first--order necessary condition for optimality
saddle points
second--order test for classifying local extrema
regions and domains
global (or absolute) extrema
boundary of a region
interior of a region
critical points on a region
Section 21:
Section 23:
constrained extrema
candidate critical points
critical points on a curve
Lagrange multipliers
double integral
double integrals and volume
estimation of double integrals
average value over a region
Skills to Master:
computation of critical points
classification of critical points
computation of critical points along a curve
computation of constrained critical points using Lagrange multipliers
computation of critical points on a region
Tuesday Quiz:
This quiz will test on the material from Sections 20 and 21
of the notes. There will be one question.
You will be
given 12 minutes to complete the quiz.