402.4Y3 What Is Uniform Continuity?

Building intuition for how uniformly continuous functions are different from garden-variety continuous ones. See the playlist: matthematics.com/real
0:00 Introduction
0:55 Intuition: How Does δ Depend On ε?
4:18 Is It a "Slope" Thing?
5:36 Non-Uniform: 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

[@duckymomo7935]

I think the insight here is that slope (lipschitz) implies uniform continuity but we haven’t gotten there yet

[@edgarmorbos9728]

may i ask what software or tool did you use in that epsilon-delta manipulation

[@buraianmath]

Me waiting for the next videos T_T