About this paper

Appears in:
Pages: 2390-2394
Publication year: 2010
ISBN: 978-84-614-2439-9
ISSN: 2340-1095

Conference name: 3rd International Conference of Education, Research and Innovation
Dates: 15-17 November, 2010
Location: Madrid, Spain

GEOMETRIC INTUITIVE TREATMENT OF THE LAGRANGE MULTIPLIERS METHOD

A. Almeida Rodríguez, B. López

Universidad de Las Palmas de Gran Canaria (SPAIN)
Lacking of Geometry skills causes many first year calculus students to fail in understanding constrained optimization problems and methods. The usual abstract presentation of these issues do not help. Fortunately nowadays we can use software aides to improve students' performance. Our aim in this paper is to develop a learning module for the Lagrange method using free tools like Maxima and Asymptote.
The module takes the student through the following steps:
• Review of the basic geometry of curves and surfaces, implicit and parameterized.
• Use of Maxima or Asymptote to visualize curves and surfaces.
• The constrained optimization problem.
• Solution in the parameterized curve/surface case.
• Solution in the implicit curve/surface case.
• Use of Maxima or Asymptote to visualize solutions.
@InProceedings{ALMEIDARODRIGUEZ2010GEO,
author = {Almeida Rodr{\'{i}}guez, A. and L{\'{o}}pez, B.},
title = {GEOMETRIC INTUITIVE TREATMENT OF THE LAGRANGE MULTIPLIERS METHOD},
series = {3rd International Conference of Education, Research and Innovation},
booktitle = {ICERI2010 Proceedings},
isbn = {978-84-614-2439-9},
issn = {2340-1095},
publisher = {IATED},
location = {Madrid, Spain},
month = {15-17 November, 2010},
year = {2010},
pages = {2390-2394}}
TY - CONF
AU - A. Almeida Rodríguez AU - B. López
TI - GEOMETRIC INTUITIVE TREATMENT OF THE LAGRANGE MULTIPLIERS METHOD
SN - 978-84-614-2439-9/2340-1095
PY - 2010
Y1 - 15-17 November, 2010
CI - Madrid, Spain
JO - 3rd International Conference of Education, Research and Innovation
JA - ICERI2010 Proceedings
SP - 2390
EP - 2394
ER -
A. Almeida Rodríguez, B. López (2010) GEOMETRIC INTUITIVE TREATMENT OF THE LAGRANGE MULTIPLIERS METHOD, ICERI2010 Proceedings, pp. 2390-2394.
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