In this lesson, you will study Lagrange multipliers with two independent variables, Lagrange multipliers with three independent variables, and applications of Lagrange multipliers.
View all of the instructional videos, read the provided readings, and practice exercises/activities. These will help you master the objectives for this lesson. Pay attention to additional comments provided. When using the method of Lagrange multipliers, you do not need to find the value of λ unless it is necessary. Also, remind yourself not to divide by zero.
Upon completion of the lesson 6.4, you will be able to:
Apply method of Lagrange multipliers
Model and solve applications
View all of the following instructional videos. These will help you master the objectives for this module.
Lagrange Multipliers with Two Independent Variables [9:50]
Source: bullcleo1 from YouTube
Lagrange Multipliers with Three Independent Variables [5:02]
Source: bullcleo1 from YouTube
Finding Max/Min Using Lagrange Multipliers [9:56]
Source: patrickJMT from YouTube
Lagrange Multipliers (3 variables): Finding the maximum and minimum values of the function [13:17]
Source: MIT from YouTube
The following required readings cover the content for this module. As you go through each reading, pay close attention to the content that will help you learn the objectives for this module.
Paul’s Online Math Notes
The Academic Resource Center
Make your way through each of the practice exercises. This is where you will take what you have learned from the lesson content and lesson readings and apply it by solving practice problems.
Below are additional resources that help reinforce the content for this module.
WolframMathWorld
by Steuard Jensen
Do Homework 6.4 on MyMathLab.
Show Your Work assignment will be given via Assignment Tool on Laulima. Please check your email for Laulima announcement.
Time to complete the Show Your Work Assignment for Module 6.
It is almost the end of the semester. The final will be cumulative. Review well and then start taking the final as soon as possible so that you can take advantage of the opportunity of multiple attempts before the deadline. Refer to the course syllabus for the policy of taking exams.