Lagrange Multipliers
Web Based Material
The method of Lagrange multipliers is a geometric method based
on gradient vector fields and their relationship to level curves.
The following web pages show how Maple can be used to gain a solid
insight into the geometry of the method.

http://mathlab.cit.cornell.edu/local_maple/mvc/week_7/lagm.1.html
 The geometry of Lagrange multipliers is explored in the context of the
optimization problem on an elipse.

http://www.geom.umn.edu/education/UMTYMP/CalcIII/1994/StudentLabs/Lagrange/Lagrange.html
 Applications of Lagrange multipliers to find extrema on the
world famous Pringle surface, the most efficient way
to build a silo and a snowcone.

http://www.geom.umn.edu./~thurman/calcIII/Lab13/welcome.html
 Using maple to explore the geometry between Lagrange Multipliers.

http://www.math.ucdavis.edu/~hom/calculus/Lagrangef/overview.html
 This site provides a quick overview of the method, a
problem list and provides hints on how to solve the problems. If you need
more practice at using Lagrange multipliers go here.

http://www.cba.uh.edu/~pricha/internet/ic1_opt.htm#constraints
 Basic revision of minimisation and maximisation in onedimension.

http://studentwww.uchicago.edu/~sbjensen/Tutorials/Lagrange.html
 "Lagrange multipliers are a pretty spiffy technique in multivariable
calculus, and yet a great many people don't have any clear idea what they
are or when they're useful. With luck, this overview will help to make the
concept and application a bit clearer."
Web Based Material  Computational Pages

http://www.math.umd.edu/~jmr/241/lagrange.htm.
 "In this notebook, we will examine the problem of finding the extreme
values of a function on a bounded region." (MATLAB)

http://archives.math.utk.edu/topics/multivariableCalculus.html.
 Collection of MATLAB links dealing with Multivariable Calculus.
Lecture Notes
My lecture notes are available
here.
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Page Created: 15th March 2001.
Last Updated: 21st August 2002.