Monthly Archives: June 2015

Inverse Laplace Transforms and Delta Functions

Problem: find the inverse Laplace transform of $$F(s) = \frac{s}{s-1}$$ Solution: Well, this one should be easy and one wonders why we are even bothering.  Just split $F$ up as follows: $$F(s) = \frac1{s-1} + 1$$ The ILT of $1/(s-1)$ is simply $e^t$, and the ILT of $1$ is $\delta(t)$.  Done. Or are we?  Why […]

Adventures in integration, University Edition

I got a request from an old friend whom I didn’t even know existed. He is the son of my grand-advisor, if that makes any sense. He teaches, among others, a course in Real Analysis at a university in Australia. I know I must like this guy because he says stuff like this: Currently, within the School […]