One of my hobbies is recreational mathematics. As I learn new ways to solve problems, it's fun to explore these problems and make a record of the derivations I've completed. Below are some of the derivations and samples of work from my studies.
Recreational Math (Yes, math is fun!)
Volume of a cone, solved via a solid of revolution
Calculus Practice and Review
Laplace Transform Works
Simple, series, two element Laplace transfer functions
Second Order Devices - Capacitor
Phase Margin Compensation Using a Lead-Lag Filter
RMS Derivations
RMS of a pulse train with DC bias
RMS of a pulse train with 50% duty cycle (square wave)
RMS of a sin wave with DC bias
RMS of a triangle wave with DC bias