In this lesson, you will learn about functions of two variables, graphs of functions of two variables or more, level curves, functions of more than two variables, and applications of graph and level surfaces.
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.
Upon completion of the lesson 4.3, you will be able to:
Determine the domain of a function of two or more variables
Analyze and construct level curves and level surfaces
Model and solve applications
View all of the following instructional videos. These will help you master the objectives for this module.
Introduction to Functions of Two Variables [9:45]
Source: bullcleo1 from YouTube
Level Curves of Functions of Two Variables [10:16]
Source: bullcleo1 from YouTube
Functions of several variables [10:14]
Source: math2bprof from YouTube
Note: The text from this video is not quite clear but this is the only video that covered the topic.
How to Sketch Graphs for Functions of Two Variables [25:45]
Source: Chris Tisdell 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
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 the following practice problems.
Functions of Two Variables, Graphs, Level Curves, and Functions of Three or More Variables
Volker Runde
Do Homework 4.3 on MyMathLab.
Show Your Work assignment will be given via Assignment Tool on Laulima. Please check your email for Laulima announcement.
Time to turn in your Show Your Work Assignment for this module.