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Waves

2 articles on waves: the maths or physics explained, ready-to-teach lesson plans, and how to build each slide in Tracé.

A square wave built from 12 odd harmonics, next to a bar chart of their amplitudes: 1, 1/3, 1/5, 1/7, 1/9calculus · signals · waves · universityFourier Series: How Sine Waves Build a Square WaveAdd sin x, sin 3x / 3, sin 5x / 5… and a square wave appears. The formula, why only odd harmonics, the 9% Gibbs overshoot, and a click-by-click slide.A travelling wave with its wavelength λ and amplitude A marked, and v = fλ with f = 2 Hz, λ = 4 m giving 8 m/sphysics · waves · high school · lesson planWave Speed, Frequency and Wavelength: v = fλ LessonTeach the wave equation v = fλ: wavelength, frequency, period and amplitude on one animated wave, examples with sound and light, mistakes and checks.