Material for students, written slowly and carefully.
This site publishes course material for engineering entrance examinations. The approach is not coverage. It is to teach the science rigorously — the derivations, the calculations, the standard the exam demands — and alongside it to keep asking what each concept means, where it applies, and where its limits are.
Those two things are not separate. A student who knows a formula and also knows the conditions under which it fails is holding something more useful than a formula. Most of the articles carry a short reflection of that kind, set apart from the working. What you make of them is yours.
On the use of AI
This material is written with AI assistance, and I would rather say so than not.
What that means in practice: I decide what each article must teach, which explanation a student needs, and where an idea’s boundaries lie. AI helps with drafting, with checking consistency across a long series, and with catching the errors that creep in when one person writes a hundred pages alone. Every claim published here has been read and accepted by me, and I am answerable for all of it.
Used this way, the tool makes careful teaching material possible for one person to produce. It does not replace the judgment about what is worth teaching, which is the part that takes decades to acquire.
Available now
Start here — Foundation 1: The Language of Physics →
The first article in Mechanics. No prerequisites.
Module 1 — Mathematical Foundations
Eleven readings on vectors, coordinate systems, calculus and approximation as physics uses them, with fifty worked examples, over 160 problems and a formula sheet.
More is being written. The site grows as material is finished rather than to a schedule, and nothing is published until it is worth reading.
Everything here is free. There is nothing to sign up for and nothing to buy.
A word about mistakes. Material of this length, written carefully, will still contain some — a sign misplaced, a condition left unstated, an explanation that is clear to me and not to you. I would rather say this openly than pretend otherwise. If you find something wrong, or something that does not make sense, please tell me. It will be corrected, and the correction will teach both of us more than the original page did.