Section Summary: 2.6

  1. Definitions

    Make a list of all definitions in the section (a few words each is fine). Summarize any lengthy definitions introduced in this section in your own words.

  2. Theorems

    Make a list of all theorems (lemmas, corollaries) in the section (a few words each is fine). Summarize each one introduced in this section in your own words.

    I didn't find any theorems in this section.

  3. Properties/Tricks/Hints/Etc.

    Make a note of any especially useful properties, tricks, hints, or other materials.

  4. Summary

    Summarize the section in two or three sentences.

    Here we catch a glimpse of the importance of limits: they are used to define instantaneous velecity and other important rates of change, which prove important in the sciences, engineering, and the social sciences (e.g. power in physics, rates of reaction in chemistry, and marginal costs in business). Furthermore, we should note that the definition of these slopes involves a limit of a quotient whose denominator has a limit of 0: hence, a trick (e.g. simplifying the numerator, or rationalizing) will be necessary in order to evaluate the limit.

  5. Class Notes

    Things observed in the course of working problems.

Problems:

Assignment: #3, 4, 6, 8, 13, 16, 22, 24, 25; on the board, #5, 8, and 16.





LONG ANDREW E
Wed Jan 24 11:42:07 EST 2001