Math 126 Section A NOVEMBER 24--26, 1997

Overview of Week 9

Reading Assignment: Homework Assignment:
  • Section 22 for Mon., Nov 24
  • Section 23 for Wed., Nov 26
  • Section 24 for Mon., Dec 1
  • Section 25 for Wed., Dec 3
  • Section 22: Problems 22.1--22.9. Due Wed, Nov 24.
  • Section 23: Problems 23.1--23.14. Due Mon, Dec 1.
  • Section 24 Problems 24.1--24.10. Due Thu, Dec 4.
Key Concepts:
Section 20: Section 22:
  • 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:

Tuesday Quiz: