One of the latest lab manuals that I've developed for Auckland Physics. I find it potentially helpful for the greater audience of the internet. This manual is intended for second-year physics majors, and assumes little prior mathematical knowledge beyond single variable calculus. Keywords: IVP, ODE, Numerical Analysis, scipy Access the Lab Manual:Download
For the first time in ... ever, I thank reader feedback for this waaaay quicker solution. Christchurch, NZL
Some scrap calculations that I think are valid. —— Waiting for the black hole image now! 19:02 NZDT, Auckland
Some of my text-friends ask me how I can quickly type out mathematical symbols when we are discussing homework problems. Well, for one, I enabled the Greek keyboard on my phone, and then there's this: taking advantage of the automatic text-replacement system built right in macOS and iOS. To use this table, on iOS and … Continue reading QuickType Scientific Symbols [Updated June 26th]
An interesting problem calling for "high perspectives" on elementary maths.
Lurking in my recent research readings, this is a problem at the intersection of middle school geometry and quantum chaos ... This week's post was delayed such that certain subscribers taking final exams won't be disturbed. Hope you all had fun. Question: Inscribe a triangle of minimum perimeter inside an arbitrary acute triangle. Demonstration I. … Continue reading FW’S NOTEBOOK #2 – Fagnano Problem
Will I have some theme for these posts? The question is, again, rather easy to state. But to me, it is one of the best introductory examples to ODE solving and chaos with a simple physical model. Q1. Describe the motion of a simple pendulum were you to replace the massless string with a spring … Continue reading FW’s NoteBook #1 – The Spring Pendulum Problem