Fourier Series Course
Gain expertise in Fourier series from basics to filter design. Master coefficient calculations, spectrum analysis, bandwidth control, and numerical verification in Python or MATLAB—converting periodic signals into accurate tools for engineering and advanced mathematics applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This targeted Fourier Series Course equips you with hands-on methods to break down periodic signals, calculate coefficients, and grasp convergence, Gibbs phenomenon, and harmonic decay. You'll build filters, control bandwidth, and check outcomes using Python or MATLAB. Straightforward explanations, step-by-step guides, and practical checklists let you swiftly apply formulas to real engineering and maths problems.
Elevify advantages
Develop skills
- Master Fourier coefficients: derive Ck, an, bn for piecewise 2π-periodic signals.
- Analyze harmonic spectra: connect decay rates, smoothness, and energy spread.
- Design effective filters: adjust cutoff, ripple, and attenuation using Fourier insights.
- Implement partial sums: calculate, plot, and validate series in Python or MATLAB.
- Diagnose convergence: understand Gibbs effects, symmetry, and errors against harmonic count.
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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