Math

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!)

Circle packing analysis

Volume of a cone, solved via a solid of revolution

Calculus Practice and Review

Review - Derivative Rules

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

RMS of a pulse train with DC bias

RMS of a pulse train with 50% duty cycle (square wave)

RMS of a sawtooth wave

RMS of a sin wave

RMS of a sin wave with DC bias

RMS of a triangle wave with DC bias