Building intuition for how uniformly continuous functions are different from gardenvariety continuous ones. See the playlist: http://matthematics.com/real
0:00 Introduction
0:55 Intuition: How Does δ Depend On ε?
4:18 Is It a "Slope" Thing?
5:36 NonUniform: We Need To Know x₀ To Find δ
6:58 Uniform: "One δ To Rule Them All"
7:23 What Uniform Continuity Looks Like
9:34 Recap