MAT320/640 LECTURE 19 (11/10/2021): LIMITS, DERIVATIVES, CHAIN RULE





Announcements: Today's lecture is a brief reminder of limits and derivatives, seen from the perspective of Real Analysis, using either ε's and δ's or sequences (both approaches are equivalent, as we prove in the first video).


• Video 1: Two definitions for limit of a function. Download file or watch below


• Video 2: Lateral limits. Download file or watch below


• Video 3: Derivatives and the basic properties they inherit from basic properties of limits. Download file or watch below


• Video 4: Chain rule. Download file or watch below




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





Last updated: Nov 10, 2021, 12:00pm EST