An introduction to the core concepts of operational calculus (requires some differential equations and Taylor series). ↓ Info and Timestamps ↓ Part 2 in my Abstract Calculus series! Operational calculus has largely fallen into obscurity in favour of more modern techniques, but that far from makes it obsolete - it provides a framework for us to explore the amazing algebraic structure that makes calculus tick, without the need for any of the more advanced abstract algebra we’d otherways have to use to get here. Huge thanks to TC159 for helping me structure the second half of this lesson! Expect some excellent videos on these topics on his channel: Discord Server: Patreon: 0:00 Intro 1:02 Arithmetic 4:37 Differential Equations 5:46 Unit Shifts 8:56 Exponential Shifts 12:15 A Cliffhanger 13:05 Outro + Announcement Music: Chris Haugen - Northern Lights - Grandma’s Riding a Polar Bear Again #some2 #operator #calculus Corrections: 4:40 I should be calling this the derivative operator (of which differential operators are generalisations)