The Abstract World of Operational Calculus

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:    / @tc159  

Discord Server:   / discord  
Patreon:   / supware  

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
artificial.music - 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)