MATH 1712: WEEK 13

Topics for this week are:

• Local Extrema
• Lagrange Multipliers

Objectives for this week:

• Find all critical points of a function in two variables, and determine all relative extrema
• Use the method of Lagrange Multipliers to solve constrained optimization problems

Text coverage:     Sections 8.3, 8.5 of S. Tan.

Online resources:

• Week 13 Formula Sheet
• Week 13 Practice Problems
• Maple Worksheets
  • Local Extrema in 3-D: This worksheet introduces the Maple commands and procedures necessary to finding relative extrema for functions of two variables.
  • Lagrange Multipliers and Constrained Optimization: This Maple Worksheet illustrates how to solve the constrained optimization problems using Maple.
• Java projects
  • Lagrange multipliers method for solving constrained optimization problems: This applet is designed for experimenting with the tangency condition that is the basis of the Lagrange multipliers method.

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Last Modified: . School of Mathematics, Georgia Institute of Technology.