Differential Equations › Section H · Boundary value problems and Fourier series › Topic H.6
Full Fourier series
Most functions on a symmetric interval are neither even nor odd, so they need sines and cosines together. The full Fourier series combines both families, and the sine and cosine series turn out to be its special cases.
In this topic
- Sines and cosines together
- The coefficient formulas
- Even and odd shortcuts
- Worked example: a step
- Worked example: a half ramp
- One function, several series
- The series is periodic
- Applied example: a square wave signal
- Common mistakes to avoid
- Key takeaways
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