Fourier Series Course
Master Fourier series from foundations to filter design. Learn to compute coefficients, analyze spectra, manage bandwidth, and verify results in Python or MATLAB—turning periodic signals into precise, practical tools for advanced mathematics and engineering.

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
This focused Fourier Series Course gives you practical tools to analyze periodic signals, compute coefficients, and understand convergence, Gibbs effects, and harmonic decay. You will design filters, manage bandwidth, and verify results numerically in Python or MATLAB. Clear derivations, concrete recipes, and lab-ready checklists help you move quickly from formulas to reliable, real-world applications.
Elevify advantages
Develop skills
- Master Fourier coefficients: derive Ck, an, bn for piecewise 2π-periodic signals.
- Analyze harmonic spectra: link decay rates, smoothness, and energy distribution.
- Design practical filters: set cutoff, ripple, and attenuation from Fourier data.
- Implement partial sums: compute, plot, and verify series in Python or MATLAB.
- Diagnose convergence: interpret Gibbs, symmetry, and error vs. number of 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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