Week 8:

  Reading Assignment:
Sections 17.6 and 17.7 of the Textbook
Dr Yonatan Katznelson's supplementary note #3
Dr Yonatan Katznelson's supplementary note #4
Core Topics:
Maxima and minima of functions of two variables, critical point, second derivative test, saddle point
Applications: maximizing production, profit maximization (two products in one market, one product in two markets)
Dependence of maximum profit on market conditions
Lagrange multipliers

Assignment #8:
(complete by 05/30/2019, do not turn in, check with solutions posted)
Section 17.6: 11-20, 21, 22, 25, 26, 30, 36
Supplementary note #4: exercises 1, 2
Section 17.7: 1-8
Solution of Assignment 8

Picture of a saddle point

Picture of a minimum + a saddle point (x3 + y3 - 3*x*y)

Lecture slides of 05/21/2019

Lecture slides of 05/23/2019

Dr Yonatan Katznelson's study guide #6
      Solution of study guide #6