PHYS 305 Lecture Notes - Lecture 5: Fourier Series, Square Wave, Harmonic Analysis
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Lecture 5 report: know what"s on course materials page keep exploring and learning, done: everything from weeks 1-4, be working on week 5 instr. 86-100, fig 5 and 6, experiment 2: topic: synthesis and phase, books and software should be downloaded and installed, needed for experiment 6: microphone + plastic bottle. Lecture recordings: starting w/ lecture 4 on zoom cloud for cc. Topics for today: superposition of waves fourier theorem, harmonic overtones vs. non-harmonic overtones, experiment 2: synthesis and phase. Phase: sound cancellation: another kind of superposition > beat frequency, assignments. Superposition of waves: great debate of 1700s: stretched string vibrating at different frequencies at the same time. Harmonics overtone series: solution: the fourier theory of harmonic analysis. Influenced how we use math to think about sound and waves: use fourier"s math for various things other than sound. Fourier"s math: starting off: considering periodic waves. Complex waves made up of multiple sine waves.