Fourier Series Course
Dive into Fourier series from basics to advanced filter design. Master coefficient computation, spectral analysis, bandwidth management, and numerical verification in Python or MATLAB, transforming periodic signals into powerful tools for engineering and advanced mathematics applications.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
Gain hands-on skills in analysing periodic signals, calculating Fourier coefficients, and grasping convergence, Gibbs phenomenon, and harmonic decay. Build filters, control bandwidth, and validate outcomes using Python or MATLAB. Straightforward explanations, step-by-step guides, and practical checklists enable swift application of theory to real-world engineering and maths problems.
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 distribution.
- Design practical filters: configure cutoff, ripple, and attenuation using Fourier insights.
- Implement partial sums: calculate, plot, and check series in Python or MATLAB.
- Diagnose convergence: assess Gibbs phenomenon, 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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