Fourier Series Course
Dive into Fourier series from basics to advanced filter design. Master coefficient calculations, spectrum analysis, bandwidth control, and numerical validation in Python or MATLAB, transforming periodic signals into powerful tools for maths and engineering applications in South Africa.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
Gain hands-on skills in Fourier series to break down periodic signals, calculate coefficients, and grasp convergence, Gibbs phenomenon, and harmonic decay. Build filters, control bandwidth, and check outcomes using Python or MATLAB. Straightforward explanations, step-by-step guides, and practical checklists speed up your shift from theory to real engineering solutions.
Elevify advantages
Develop skills
- Master Fourier coefficients: derive Ck, an, bn for piecewise 2π-periodic signals.
- Analyse harmonic spectra: connect decay rates, smoothness, and energy spread.
- Design effective filters: adjust cutoff, ripple, and attenuation using Fourier insights.
- Implement partial sums: calculate, graph, and validate series in Python or MATLAB.
- Diagnose convergence: understand Gibbs, symmetry, and errors against harmonic count.
Suggested summary
Before starting, you can change the chapters and the 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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