Fourier Series Course
This course builds expertise in Fourier series, from core principles to filter design. Participants learn to calculate coefficients, examine harmonic spectra, optimise bandwidth, and confirm results in Python or MATLAB, transforming periodic signals into effective tools for advanced mathematics and engineering applications.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
Gain practical skills in analysing periodic signals, calculating Fourier coefficients, and grasping convergence, Gibbs phenomenon, and harmonic decay. Design filters, control bandwidth, and validate outcomes using Python or MATLAB. Structured derivations, step-by-step guides, and practical checklists enable swift application from theory to real-world 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 distribution.
- Design practical filters: configure cutoff, ripple, and attenuation using Fourier data.
- Implement partial sums: calculate, visualise, and validate series in Python or MATLAB.
- Diagnose convergence: evaluate 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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