Amogh1087/MC_Project ? reverse-engineered prompt

Build me a single page educational website about Fourier series and noise cancellation for first year engineering students. I want it to feel like a signal lab, with a dark screen, glowing green waveforms, grid lines, and subtle animated effects that make the page feel alive.

The page should have a sticky top nav and smooth scrolling to sections for the theory, an interactive wave builder, noise cancellation, time versus frequency view, real world uses, and a short quiz. Start with a big hero area that shows animated sine waves combining into one signal, plus clear buttons to jump into the lesson.

Include simple visual explanations of the Fourier series formula, animated examples for square, sawtooth, and triangle waves, and a hands on section where students can change harmonics and instantly see the waveform and spectrum update. Also add a quiz bank with random questions for faculty to use in class.

Make it all work in one HTML file with vanilla JavaScript, no build step, and look up current docs online if you need to.