Math 128, Spring ’10, Information about Chapter 12

Some of the material in Chapter 12 is more sophisticated than the material in Chapter 11. Some of the material is presented at a higher level of abstraction than the previous chapter and some of the ideas used in interpretation are more subtle. Although we will skip some of this material, the slightly more abstract and conceptual issues that are covered in class as well as the associated discussion and examples in the book are material that could be used for exam questions. For instance exam questions could be built out of Example 2 on page 414, Example 2 on page 417, or Examples 2 or 4 on page 429.

Some of the specifics in Chapter 12 involve topics that we will not consider. The following sections will be skipped and should not be considered part of the course:

· the last part of §12.5, beginning with equation (2) on pg 421,

· the last part of §12.6, the subsection titled Geometric Aspects of Homogenous Functions,

· the last part of §12.7 titled Homothetic Functions,

· all of §12.10, and

· all of §12.11.