Uploaded October 2024 | Updated September 2026, 1 week ago

a scaaaaaaary looking summmmmm

Happy halloween everyone!! In this scary video that will haunt you in your dreams, I calculate the spooky sum of i^n! which involves gruesome factorials and imaginary entities. Enjoy the frightening ride through the portal of mathematics, which knows no escape muahahahahaha!!

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$life changing partial fractions trick$

$what is the plastic ratio? what is the plastic ratio? I define the plastic number and explain its properties, first as a cubic equation and a Fibonacci sequence to count bunnies, then as a fractal cube root with self similarities, and finally a cool formula with hyperbolic cosine function substitution. This is a cool journey through algebra, polynomials, inverse functions, and calculus. Proof that I did it before mathologer: https://youtu.be/SMeNVyJjd2o 0:00 Introduction 0:36 Fibonacci 1:45 Fractal 3:10 Hyperbolic trig Calculating hyperbolic trig functions: https://youtu.be/My2S-xbLPG0 YT channel: https://youtube.com/drpeyam TikTok channel: https://www.tiktok.com/@drpeyam Instagram: https://www.instagram.com/peyamstagram/ Twitter: https://twitter.com/drpeyam Teespring merch: https://teespring.com/stores/dr-peyam$ $solving a fractional differential equation$

$Inhomogeneous case Laplace transform and differential equations We use the Laplace transform to solve differential equations. The good news is that the same technique used to solve homogeneous ODE also works for inhomogeneous differential equations: Take the Laplace transform, solve for it, and then apply the partial fractions technique to find the inverse Laplace transform. This is a must-see for any mathematician, physicist, or engineer, enjoy! What is the Laplace transform: https://youtu.be/NmluV31oHq8 Laplace transform example: https://youtu.be/BHGnFcGhR5w Laplace transform playlist:https://www.youtube.com/playlist?list=PLJb1qAQIrmmB3NiV7Fy0tWcSmAYLQ7SCS Subscribe to my channel: https://youtube.com/drpeyam Instagram: https://www.instagram.com/peyamstagram/ Teespring merch: https://dr-peyam.creator-spring.com/?$

Dr Peyam |

a scaaaaaaary looking summmmmm