Section Summary: 2.5

  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.

  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.

    Continuity is defined and discussed in detail, along with varieties of discontinuities (jump, infinite, removable). Once again the theorems suggest that properties we'd like continuity to possess are true: e.g., the sum of two continuous functions is continuous; the composition of continuous functions is continuous. Entire classes of functions are continuous on their domains (polynomials, rational functions, trigonometric functions, root functions), so limits for these are easy to compute.

Problems:

Assignment: p. 112-114, #4-8, 13, 38, 40, 45, 48, 59

In class: #3, 10, 12, 16, 19, 33, 36, 44





LONG ANDREW E
Thu Jan 18 09:56:31 EST 2001