MAT320/640 LECTURE 12 (10/18/2021): CONTINUOUS FUNCTIONS





Announcements: Please note that HW4 is already out; solutions to HW3 will be posted shortly.


• Video 1: Definition of continuity, and an equivalent characterization with $\varepsilon$ and $\delta$. Download file or watch below


• Video 2: Verifying that a function is continuous (both with the definition using sequences and with $\varepsilon$ and $\delta$). Download file or watch below


• Video 3: Examples of functions that are not continuous. Download file or watch below


• Video 4: Building new continuous functions out of old ones. Download file or watch below


• Video 5: Composition and min/max of continuous functions are continuous. Download file or watch below




• Lecture Notes (static file from above video): PDF file





Last updated: Oct 18, 2021, 1:15pm EDT