We dive into calculus of variations to calculate the shape of a rope fixed in one end and free to slide on the other.
Three different ways of evaluating this lovely integral!
We compute the average seek time on an hard disk drive. This will involve a bit of math related to functions of random variables.
Branch cuts are your friends. You can have fun with them!
An integral with branch cut.
This is a deep dive into the math of low pass filter with driven by a square wave.
Mass-spring system with dumping and driving forces. A full solution is presented with interactive plots.