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.
