Lecture 9, Monday, 9/15/08: Section 12.1: Functions of several variables

Topics

Function of two or more variables
Graph of a function of two variables
Level curves (for functions of two variables)
Level surfaces (for functions of three variables)

Read

Section 12.1. This is an introductory section, with lots of pictures, so the "reading" can be on the light side. However, you should take a look at the various types of plots in this section, to get a feel of what these things look like. While I won't put graphing/sketching problems on tests (hence no homework from this section), you definitely need to know the underlying concepts, in particular, the precise meaning of a "graph", a "level curve", and a "level surface".

Notes

Section 12.2 (limits and continuity) is a theoretical section that will be deferred till the end of the semester.

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Last modified Mon 22 Sep 2008 02:17:30 PM CDT