Continuity, Continued - 22

In this lecture, we’ll prove some theorems about how continuity interacts with limits, compactness, and connectedness. This will allow us to prove the intermediate value theorem.

Reading: Rudin Ch. 4: Continuity, Connectedness (pg. 86-90, 93)

Pre-Lecture Materials

Continuity, continued: Pre-lecture video

In-Class Activities

Open the following Overleaf link and make a copy for yourself. Remember to include the names of everyone who worked together in the document.

Lecture 22 In-Class Activity: Continuity Continued

Assignments

  • Submit Overleaf Proof 22: Continuity Continued
  • Homework 9

Lecture Notes