1. Periodic waveforms: discussion of waveforms, harmonics and the addition of waveforms graphically. 2. The Fourier series: introduction to the series, coefficients, functions of period 2. 3. Symmetry: determination of coefficients as a result of inspection for symmetry. 4. Half-range series: functions defined over half a period, half range sine and cosine series. 5. Exponential form: the exponential form of the Fourier series. 6. Electric circuits: Application of complex waveforms to RLC circuits, power. 7. Numerical harmonic analysis: trapezoidal rule, twelve-point analysis. 8. The Fourier transform: basic introduction, Fourier integral, Fourier transform, inverse transform.
