3 pages
Bits & Surprise
Shannon’s big idea, hands-on: measure surprise, sculpt entropy, build a working compressor, shout through noise, then KL divergence, mutual information, and the cross-entropy loss that trains modern AI. Each lesson ends with a check on its claim.
Waves & Buckets
How sound becomes numbers and comes back alive: play with waves, hear aliasing fold past Nyquist, crush a melody to 3 bits, watch a DAC resurrect the signal, and tally the bitrate bill. Sound on; most demos are audible.
Sines & Spectra
Signal processing from first principles: signals add, harmonics build any waveform, correlation measures one frequency at a time, two templates defeat unknown phase, the DFT runs the measurement everywhere, filtering edits the result, and roots of unity collapse the cost into the FFT, demonstrated live.