• Announcements: Today's lecture is a brief reminder of limits and derivatives, seen from the perspective of Real Analysis, using either $\varepsilon$'s and $\delta$'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