Fourier Series Course
This course builds strong Fourier series expertise from basic principles to advanced filter design. Participants learn to determine coefficients, examine harmonic spectra, optimise bandwidth, and validate computations in Python or MATLAB, transforming periodic signal analysis into powerful tools for engineering and advanced mathematics applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain essential skills in Fourier series to break down periodic signals, calculate coefficients, explore convergence issues like Gibbs phenomenon, and handle harmonic decay. Build and test filters, control bandwidth, and confirm outcomes using Python or MATLAB. Straightforward explanations, step-by-step methods, and practical checklists enable fast application in real engineering and maths scenarios.
Elevify advantages
Develop skills
- Master Fourier coefficients by deriving Ck, an, bn for 2π-periodic piecewise functions.
- Examine harmonic spectra connecting decay rates, signal smoothness, and energy spread.
- Create effective filters specifying cutoff frequencies, ripple control, and attenuation levels.
- Execute partial sum calculations, generate plots, and validate using Python or MATLAB.
- Evaluate convergence behaviour including Gibbs effects, symmetry impacts, and errors by 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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