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About Dr Peyam

Just some fun math videos, ranging from calculus and linear algebra, to analysis and pde

Recent Videos from Dr Peyam

Laplace integral gone BANANAS đźŤŚ

Calculating integral using Laplace transforms. Evaluating integral of x^m (1-x)^n from 0 to 1 using convolution and Laplace transforms of functions, which is useful for engineering systems. I use a u sub and then apply the transform to power functions, which then turns it into a product of transforâ€¦ the anti Pythagorean theorem?

an anti Pythagorean theorem. Here is a geometry identity related to Pythagoras from 8th grade math which you may not know about. It relates the sides of a triangle where one angle is 60 degrees. It all starts with a high school problem about triangles and circles and uses the law of cosine from preâ€¦ 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 journeyâ€¦