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The wave equation and wave speed
Deriving the wave equation. The sinusoidal solution to the wave equation. The speed of a wave in a stretched string. Experiment: how the wave speed depends on tension. |
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Wave power, intensity and radiation
Power in a wave. Intensity and power. Radiation in three dimensions. Radiation in two dimension. Reflection in two dimensions. |
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Differential equations
Methods for solving differential equations. First order with constant coefficients. Second order and simple harmonic motion. Damped and forced oscillation. Partial differential equations: the wave equation. |
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Calculus
Differentiation: How rapidly does something change? Varying derivatives. Analytical derivatives. Power terms and polynomials. Trigonometric functions. The chain rule. Integration: How do the results of a variable rate add up? Numerical integration. Analytical integration. The log function. Trigonometric functions. The exponential function. Techniques for integration. Partial derivatives. |
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Laboratory
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