https://www.math.ucdavis.edu/~hunter/m125a/intro_analysis_ch3.pdf (pages 27-28, 30-32)
This site does not have a copyright
This online resources is very similar to our book. Its an Introduction to Analysis course notes from the University of California. I thought this site was good because the language it uses and the notation is similar to what we have been using in class which would help make the information more clear. It also had lots of examples and proofs to help our understanding better of the topic.
https://math.berkeley.edu/~sagrawal/su15_math104/lec18_coco.pdf
This site does not have a copyright
This online resource is lecture notes from a course at Berkeley. I found these notes to be easier to read and understand. I also found that they went through some different lemmas that might be helpful because i did not see them in the other resource. This site also discusses uniform continuity with more examples to help increase understanding. This site provides counterexamples proving why compactness is so important.
http://www.oercommons.org/courses/real-analysis-fall-2012/view
This online resource is a summary of the important information from a teacher at MIT. The theorems in these notes and the examples used seemed easy to follow. These notes are not an overload of information it only goes over the most important information from the section about uniform continuity. This site has a CC BY-NC-SA.
https://www.saylor.org/site/wp-content/uploads/2012/02/Real-Analysis-I-Zakon-1-30-11-OTC.pdf
This online resource is a power point from a professor at the University at Windsor. The information in this power point was very easy to follow, it uses notation we are familiar with and provides lots of examples. It goes over everything not just the important information such as the pervious website. This resource could be useful for any real analysis topic not just mine. For this section the information begins on slide 194. This resource has a CC BY.
Exercises:
math.berkeley.edu problems 1 and 2
Thomson, Bruckner, and Bruckner; Section 5.7, Problem 5.7.2
Thomson, Bruckner, and Bruckner; Section 5.6, Problem 5.6.4
