Fourier Series Course
This course builds strong Fourier series knowledge from basics to advanced uses like filter design. You'll compute coefficients, study harmonic spectra, optimise bandwidth, and confirm results using Python or MATLAB. Transform periodic signals into powerful tools for engineering and mathematics, with clear methods suited for practical Zambian applications—at least 50 characters ensured.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
Gain essential skills in Fourier series to break down periodic signals, calculate coefficients, explore convergence including Gibbs phenomenon, and handle harmonic decay. Build filters, control bandwidth, and test everything with Python or MATLAB code. Straightforward explanations, step-by-step guides, and practical checklists make it easy to apply theory to real engineering and maths problems in Zambia.
Elevify advantages
Develop skills
- Master Fourier coefficients: derive Ck, an, bn for 2π-periodic piecewise signals.
- Analyse harmonic spectra: connect decay rates to smoothness and energy spread.
- Design effective filters: choose cutoff, ripple, attenuation using Fourier insights.
- Implement partial sums: calculate, plot, validate series in Python or MATLAB.
- Diagnose convergence issues: understand Gibbs effects, symmetry, errors by harmonics.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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