US AI Academy
Course 1The Math Behind AI: 4 lessons free

AI, explained by an engineer who builds it.

Interactive courses on how AI really works. Drag the numbers, watch the math respond, and follow a real model one step at a time.

Every number is real; every lesson is hands-on.

The blueprint catThe blueprint dog

Start here

A blueprint drawing of the dot product: two lists multiplied pair by pair and added up, beside two arrows with the angle between them.

Course 1 · Five ideas, one real model

The Math Behind AI

Five ideas build and run every AI you talk to. Here they are, worked by hand on a real model, one number at a time.

4 free lessonsHands-on labsQwen3-0.6B-BaseNo math degree neededAI Foundations Certificate

How it works

How the lessons work

Drag the numbers

Every idea comes with a lab. Move a line, turn a dial, change a number, and see the result right away.

Real numbers only

The examples come from a real run of a real model, not made-up values. Engineers can redo every number; everyone else can follow along.

Ask the tutor

The full course comes with an AI tutor that answers from the lesson you’re on (30 questions per course). When a question goes beyond the course, it says so.

Your AI Instructor

Hi, I’m Jazon

Jazon Samillano

I’ve built AI full-time since 2017. Every lesson here follows one rule: plain words first, real numbers always, and nothing you have to read twice.

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